Answer: $10.50
Step-by-step explanation:
Given the following :
Number of people entering the park = X
Mean number of people = 3
Fixed admission fee = $6
Additional fee per passenger = $1.50
Therefore, mean total paid by a car entering the park :
MEAN Total = Admission fee + (additional fee * mean number of people entering the park)
mean Total = $6 + ($1.50 * 3)
Mean total = $6 + $4.50 = $10.50
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a
centimeter.
Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = [tex]\frac{m}{V}[/tex] ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is 11.34g/cm³
From the question, the weight/mass of the lead ball is 326g
Substitute these values into equation (i) as follows;
11.34 = [tex]\frac{326}{V}[/tex]
V = [tex]\frac{326}{11.34}[/tex]
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [tex]\frac{4}{3} \pi r^3[/tex] [V = volume, r = radius]
V = 28.75cm³
=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. How much will this loan cost Barry in interest.
Answer:
Barry has to pay back $1150
Step-by-step explanation:
We can set up an equation to help solve this problem
x is the amount he has to pay back
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Barry has to pay back $1150
If Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. Then Barry has to pay back $1150.
What is Equation?Two or more expressions with an equal sign is called as Equation.
We can set up an equation to help solve this problem
x is the amount he has to pay back.
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Hence, Barry has to pay back $1150.
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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Dave and his cousin Emily are picking apples in their grandparents' orchard. Dave has filled 6
baskets with apples and is filling them at a rate of 5 baskets per hour. Emily has 9 full
baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point
where they have filled the same number of baskets, they will carry them to the barn and then
eat lunch. How much fruit will they have picked by then? How long will that take?
Dave and Emily will each have filled
baskets in
hours.
Answer:
It will take 1 hour and they will have 11 baskets
Step-by-step explanation:
Dave
6 + 5h = b
Emily
9 + 2h=b
where h = hours and b = baskets
Setting the equations equal to each other
6+5h = 9+2h
Subtracting 2h from each side
6+3h = 9
Subtracting 6 from each side
3h = 3
Divide by 3
h =1
Then finding b
9+2h = b
9+2 =b
11=b
It will take 1 hour and they will have 11 baskets
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
The diagonals of kite KITE intersect at point P. If m
A. 34°
B. 46°
C. 68°
D. 92°
Answer:
The diagonal of kite intersect at the point p is C. 68°
Which set of ordered pairs represents a function?
{(7,-2),(-8, -1),(-6,1), (-6, – 7)}
{(-4,1), (6,1),(7,-6), (7,0)}
{(2,-6), (1, -3), (-5,7),(1,0)}
{(-9,3), (-5,1), (7,-5), (4,3)}
The correct is:
[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]
The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].
In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.
In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]
In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]
easy question i will mark braineliest
Answer:
0.67Step-by-step explanation:
[tex]5(y - 3.8) = 4.7(y - 4)[/tex]
Distribute 5 through the parentheses
[tex]5y - 19 = 4.7(y - 4)[/tex]
Distribute 4.7 through the parentheses
[tex]5y - 19 = 4.7y - 18.8[/tex]
Move ' 4.7 y ' to L.H.S and change it's sign
[tex]5y - 4.7y - 19 = - 18.8[/tex]
Move constant to R.H.S and change it's sign
[tex]5y - 4.7y = - 18.8 + 19[/tex]
Collect like terms
[tex]0.3y = - 18.8 + 19[/tex]
Calculate
[tex]0.3y = 0.2[/tex]
Divide both sides of the equation by 0.3
[tex] \frac{0.3y}{0.3} = \frac{0.2}{0.3} [/tex]
Calculate
[tex]y = 0.67[/tex]
Hope this helps...
Best regards!!
Answer:
[tex]y = 0.67[/tex] (To 2 dps)
y = 0.7 (To 1 dps)
y = 1 (To nearest whole no.)
Step-by-step explanation:
[tex]5(y-3.8) = 4.7 (y-4)[/tex]
Distribute the terms
[tex]5y - 19 = 4.7y-18.8[/tex]
Combining like terms
[tex]5y - 4.7y = -18.8+19[/tex]
Adding and subtracting
[tex]0.3y = 0.2[/tex]
Dividing both sides by 0.3
[tex]y = 0.2/0.3[/tex]
[tex]y = 0.67[/tex]
Decide which chi-square test (goodness-of fit, homogeneity, or independence) would be most appropriate for the given situation.
A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.
Age Group
Under 25 25-45 Over 45 Total
Number of accidents in past 3 years 0 74 90 84 248
1 19 8 12 39
1 7 2 4 13
Total 100 100 100 300
A. Test for Homogeneity.
B. Test for Independence.
C. Test for Goodness-of-fit.
Answer:
C. Test for Goodness-of-fit.
Step-by-step explanation:
C. Test for Goodness-of-fit would be most appropriate for the given situation.
A. Test Of Homogeneity.
The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.
B. Test for Independence.
The chi square is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.
C. Test for Goodness-of-fit.
The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with their estimates and provided that one degree of freedom is deducted for each parameter estimated.
The average of three numbers is 25. two of the numbers are 45 and 16. What is third one.
Answer:
14
Step-by-step explanation:
I attached a picture and I hope this helps ;) ❤❤❤
Answer:
The third number is 14
Step-by-step explanation:
To find the average of 3 numbers add the three numbers and divide by 3
Let x be the third number
( 45+16+x) /3 = 25
Multiply each side by 3
( 45+16+x) /3 *3 = 25*3
( 45+16+x) = 75
Combine like terms
61+x = 75
Subtract 61 from each side
61+x-61 = 75-61
x = 14
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
PLEASE HELP Question 1(Multiple Choice Worth 4 points) (08.03)A system of equations is given below: y = –2x + 1 6x + 2y = 22 Which of the following steps could be used to solve by substitution? 6x + 2(−2x + 1) = 22 −2x + 1 = 6x + 2y 6(−2x + 1) + 2y = 22 6(y = −2x + 1) Question 2(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (10, −5) (5, 10) (10, 5) Question 3(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation H: y = −x + 2 Equation J: y = 3x − 4 Which of the following steps can be used to find the solution to the set of equations? −x = 3x − 4 −x +2 = 3x −x + 2 = 3x − 4 −x + 1 = 3x + 2 Question 4(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? No solution One solution Two solutions Infinite solutions Question 5(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. x + y = −3 y = 2x + 2 five over 3 comma 4 over 3 negative 5 over 3 comma negative 4 over 3 negative 3 over 5 comma negative 3 over 4 3 over 4 comma 3 over 5
Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
Answer: The answer is 6x + 2(−2x + 1) = 22
What are the solutions of the equation (x+2)^2-2x(x+2)-15=0? Use u substitution to solve.
Answer:
3
Step-by-step explanation:
Answer: x = -5 and x = 3
Step-by-step explanation:
on edg
Complete the sequences below :
• please explain the formula in simple words.
a) 18035, 18070 , 18105, ........... , .............. .
b) 3800, 4100, 4400, ............, ............ .
c) 17200, 18300, 19400, .............. , ............ .
Answer:
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Step-by-step explanation:
They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.
The general formula is
T(n) = T(0)+n*D
where
n = the term number
T(n) = nth term (considering the first term to be the zeroth term.
D = common difference
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Find the measure of AEC and BED
Answer:
30°
Step-by-step explanation:
well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°
BED =30°
Answer:
AEC=30
BED=30
Step-by-step explanation:
We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30
As for BED, AEC and BED are verticle angles so they are equivalent.
If you found this helpful, please consider giving me brainliest, it will help me a lot
Have a good day! :)
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m30.35\text{ m}^30.35 m30, point, 35, start text, space, m, end text, cubed of fluffy material. What is the length of the pillow? Give an exact answer (do not round).
Complete question is;
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy
material. The Height is 0.5 m and the
Base is 1 m.
What is the length of the pillow?
Give an exact answer (do not round)
Answer:
length of Pillow = 1.4 m
Step-by-step explanation:
This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;
V = area of base x length = ½ × base × height × length
Thus;
Volume of Wedge = ½ × base × height × length
We are given;
base = 1 m
height = 0.5 m
Volume = 0.35m³
And we want to find the Length(L)
Thus;
½ × 0.5 × 1 × L = 0.35
L/4 = 0.35
Multiply both sides by 4 to give;
L = 0.35 × 4
L = 1.4 m
length of Pillow = 1.4 m
Answer:
1.4
Step-by-step explanation:
Khan
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line? y = 2x + 1 y = 2x + 3 y = 3x + 2 y = 3x + 5
Answer:
The answer is
y = 2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
From the question the y intercept is 3
and the slope is 2
Substituting the values into the above equation
We have
y = 2x + 3Hope this helps you
The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].
The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:
[tex](y-y_1)=m(x-x_1)[/tex]
Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].
So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].
So, the equation of the line is
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-3)=2(x-0)[/tex]
[tex]y-3=2x-0[/tex]
[tex]y=2x+3[/tex]
So, option B is correct.
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Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction y = 2 (x minus 1) squared minus 11 y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Step-by-step explanation:
Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.
[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Answer:
i got y=2(x-1/2)^2- 27/2 so the last one is right
Step-by-step explanation:
:)
ASAP!!! PLEASE help me with this question!
A wholesaler requires a minimum of four items in each order from its retail customers the manager of one retail store is considering ordering a certain number of sofas X and a certain number of pillows that come in pairs why which graph represents the overall equation represent by the scenario appointment not apply to the scenario
Answer: Option D
Step-by-step explanation:
Answer:
✔ D.
Step-by-step explanation:
E2021
Find the ordered pairs.
{Y=(x+1)^2-5
{Y=2x
PLEASE HELP!!!
Answer:
[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]
Step-by-step explanation:
Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).
I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.
As I have already provided details for the previous question I will be more succinct here.
Again we can write y = y and then we have to solve the following.
[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]
The solutions are (2,4) and (-2,-4)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
an
ple 4:
Question
If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
Answer:
gain percent = 25%
Step-by-step explanation:
To solve the question given, we will follow the steps below:
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
But from the question;
"CP of 15 articles equals to the SP of 12 articles", this implies that
15 c.p = 12 s.p
s.p = 15c.p / 12
s.p = [tex]\frac{15 c.p}{12}[/tex] = [tex]\frac{5c.p}{4}[/tex]
s.p = [tex]\frac{5c.p}{4}[/tex]
substitute s.p = [tex]\frac{5c.p}{4}[/tex] into the formula
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
=[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex] × 100%
= [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex] × 100%
= [tex]\frac{c.p}{4}[/tex] ÷ c.p × 100%
= [tex]\frac{c.p}{4}[/tex] × [tex]\frac{1}{c.p}[/tex] × 100%
= [tex]\frac{1}{4}[/tex] × 100%
= 25 %
What is the point- slope of a line with slope -5 that contains the point (2,1) ? ( TOP ANSWER GETS BRAINLEST)
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (2, - 1), thus
y - (- 1) = - 5(x - 2) , that is
y + 1 = - 5(x - 2) → C
Answer:
y + 1 = - 5(x - 2)Option C is the correct option
Step-by-step explanation:
The general form of point slope form of line is :
[tex]y - y1 =m ( x - x1)[/tex]
Where ( x1 , y1 ) is one point on the line and m is the slope.
In the given problem,
The slope of line ( m ) = - 5
One point on the line = ( x1 , y1 ) = ( 2 , -1 )
The point slope form of the line is:
y - ( - 1 ) = - 5 ( x - 2 )
y + 1 = - 5 ( x - 2 )
Hope this helps..
Best regards!!
Helppppp plzzzz ❤️❤️❤️❤️I’m crying help with my math
Answer:
A
Step-by-step explanation:
I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation
An urn contains 5 white and 10 black balls. A fair die is rolled and that numberof balls are randomly chosen from the urn. What is the probability that all of theballs selected are white? What is the conditional probability that the die landed on3 if all the balls selected are white?
Step-by-step explanation:
[tex]A[/tex]- all of the chosen balls are white [tex]E_{i}-[/tex] result of the die roll is [tex]i, \quad i \in\{1,2,3,4,5,6\}[/tex]
Probabilities:
since the die is fair:
[tex] P\left(E_{i}\right)=\frac{1}{6} \quad \text { for } \quad i \in\{1,2,3,4,5,6\} [/tex]
If the die rolls [tex]i[/tex] we choose a combination of [tex]i[/tex] balls, among 10 black and five white balls, therefore
\[ \begin{array}{c}
P\left(A \mid E_{1}\right)=\frac{\left(\begin{array}{c} 5 \\
1 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 1 \end{array}\right)}=\frac{5}{15}=\frac{1}{3} \\ P\left(A \mid E_{2}\right)=\frac{\left(\begin{array}{c} 5 \\ 2 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 2
\end{array}\right)}=\frac{10}{105}=\frac{2}{21} \\
P\left(A \mid E_{3}\right)=\frac{\left(\begin{array}{c} 5 \\ 3
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 3
\end{array}\right)}=\frac{10}{455}=\frac{2}{91} \\
P\left(A \mid E_{4}\right)=\frac{\left(\begin{array}{c} 5 \\ 4
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 4
\end{array}\right)}=\frac{1}{273} \\
P\left(A \mid E_{5}\right)=\frac{\left(\begin{array}{c} 5 \\ 5
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 5
\end{array}\right)}=\frac{1}{3003} \\
P\left(A \mid E_{6}\right)=\frac{\left(\begin{array}{c} 5 \\ 6
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 6
\end{array}\right)}=0
\end{array} \]
Davis decides to think about retirement and invests at the age of 30 . He invests $5,000 and hopes the investment will be worth $250,000 by the time he turns 70 . If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
Rate of growth he will need to achieve his goal is 9.8%
Step-by-step explanation:
Principal=$5,000
Time(t)=70-30=40 years
Period (n)=12 months
Interest rate (r)=?
A=$250,000
r=n{(A/P)^1/nt - 1}
=12{(250,000/5000)^1/12*40 - 1}
=12{(50)^1/480 - 1}
=12{(50)^0.0021 - 1}
=12(1.0083 - 1)
=12(0.0082)
=0.0984
r=0.0984*100
=9.84%
To the nearest tenth=9.8%
Um reservatório possui inicialmente R litros de água, por conta de um vazamento, perde 5 litros a cada minuto. Indique a lei de formação de uma função que expressa a quantidade de água no reservatório em função do tempo
Answer:
A(t) = R -5(t)
t in minuto
Step-by-step explanation:
Nesta questão, estamos preocupados em estabelecer uma lei que forneça a quantidade de água presente no reservatório a qualquer momento, usando a quantidade inicial de água no reservatório e a taxa de perda de água do reservatório.
Agora, sabemos que a taxa de perda de água é de 5 litros por minuto.
Assim, podemos estabelecer a lei da seguinte forma; vamos chamar a quantidade de água a qualquer momento no reservatório A (t);
A lei é assim; A (t) = R -5t onde t representa o tempo que estamos considerando e é em minutos, enquanto R é o volume inicial de água no tanque.
compare -1/6 and -2/3
Answer:
-1/6=-0.166
-2/3=-0.66
Step-by-step explanation:
-by looking carefully you will notice that . which number is greater and smaller.
Answer:
-1/6 is greater than -2/3
Step-by-step explanation:
What is the value of 'x' : [tex]4x + 3 = 16[/tex]
Answer:
x = 3.25
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is the order of operation.
First, subtract 3 from both sides of the equation:
4x + 3 = 16
4x + 3 (-3) = 16 (-3)
4x = 16 -3
4x = 13
Next, dvide 4 from both sides:
(4x)/4 = (13)/4
x = 13/4
x = 3.25
x = 3.25 is your answer.
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Answer:
x = 3.25
Step-by-step explanation:
4x + 3 = 16
4x + 3 - 3 = 16 - 3
4x = 13
4x/4 = 13/4
x = 3.25
Which equation correctly represents the line in slope-intercept form? A. y = -1/4x-6 B.y=1/4x-6 C.y=-4x+6 D.y=4x+6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line
m = [tex]\frac{-4+6}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = [tex]\frac{1}{4}[/tex] x - 6 → B