4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
PLS HELP WILL GIVE BRAINLIEST :)
Step-by-step explanation:
the slope intercept form is
y = ax + b
"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).
the slope here :
in the table x is always increasing by 2.
and y is always investing by 1.
so, the slope is 1/2
the y-intercept :
we need to find the y-value for x = 0.
but we don't have a data point with x = 0 in the table.
so, we have to extend the structure of the table to the left.
x decreases by 2 (making it 0), and y decreases by 1 (making it -1).
therefore, the y- intercept (b) is -1.
and the line equation is
y = (1/2)x - 1
not sure about "the other method".
there is the point-slope form of the equation :
y - y1 = a(x - x1)
again with "a" begin the slope, and (x1, y1) being a point on the line.
if we get the y-intercept in the table, then this point is (0, y1).
and the equation would be
y - y1 = ax
in our case
y + 1 = (1/2)x
and another method ?
sometimes people write
nx + my = c
in our case starting with the original equation
y = (1/2)x - 1
2y = x - 2
-x + 2y = -2
x - 2y = 2
Determine the value of k so that the relation {(2, 5), (k, 0), (–9, 2), (0, –9)} can be a function
Step-by-step explanation:
in a function every valid values of x has exactly one assigned y value.
in an ordered pair the first number is x, the second number is y.
the y in (k, 0) is therefore 0.
and this y is different to all other y values in the relation.
therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).
so, k must be an integer not out of {-9, 0, 2}
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W).
In this case, we know that the length is 5ft longer than the width, so we can write:
L = W + 5ft
We also know that the perimeter is 50ft, so we can write:
P = 50ft = 2*(W + 5ft + W)
50ft = 4*W + 10ft
40ft/4 = W = 10ft
So the width is 10 ft, and then the length will be:
L = 10ft + 5ft = 15ft
So the area of the rectangle is:
A = 10ft*15ft = 150 ft^2
She will need 150 ft^2 of flooring.
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If ∠QSR≅∠QST and QT=65, what is QR?
Answer:
it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.
Answer:
QR would equal 65
Step-by-step explanation:
It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)
Hope this helps!!
Have a wonderful day!!
Please rate and mark brainliest!!
If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
A. Directions/Instructions:
Given
Solution (3 points)
Final Answer (1 point)
Ex. : 5ab( 4a3 + 2ab - 3b4)
=5ab( 4a3 + 2ab - 3b4)
=20a4b+10a2b2-15ab5
=20a4b+10a2b2-15ab5
1. (6k + 5)(5k + 5)
2. (a2+6a-4)(2a-4)
3. (4x2-5x-21)÷(x-3)
Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)
B. Directions/Instructions:
Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)
Given
Solution (2 points)
Final Answer
Example: 8c52d42
=8c52d42
=64c104d8
=16c10d8
1. (4x5y3)2
2. 18c8(-2c)2
3. 3a2bab24ab2c3c
Answer:
Hope the pictures will help. I have done what I knew
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. If enrollment continues in the same trend, which of the following is a good prediction for eighth grade enrollment in 2010?
130
200
165
75
Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.
What does the graph state?It states that:
The number of students enrolled in the 7th grade is falling by about 20 students per year.The number of students enrolled in the 8th grade is increasing by about 20 students per year.In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.
More can be learned about graphs at https://brainly.com/question/24808124
Answer:
165
Step-by-step explanation:
Help me, please! It's all in the question...!
Answer:
the answer is the first one
Step-by-step explanation:
because
Answer
c hope it helps
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 787
83, 81, 70, 74
The minimum grade he must get on the last test in order to have an average of 78 is
Answer:
82
Step-by-step explanation:
The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82
Answer:
82.
Step-by-step explanation:
The sum of the 5 tests must be 5*78 = 390 for the average to be 78.
So in the last test is grade must be 390 - (83+81+70+74)
= 390 - 308 = 82.
A ladder leans against a 40ft building. The foot of the ladder is 16 feet from the building. About how
long is the ladder? Round to the nearest hundredth
Answer:
60 feet
Step-by-step explanation:
passes through (-2, 1) and (2, -5)
I need to find the y=mx+b
Answer:
[tex]y = (-3/2)\, x + (-2)[/tex].
Step-by-step explanation:
If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].
In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:
[tex]1 = m\times (-2) + b[/tex].
Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:
[tex](-5) = m\times 2 + b[/tex].
The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].
Solve this system of two equations and two unknowns:
[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].
[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].
Therefore, the equation of this line would be:
[tex]y = (-3/2)\, x + (-2)[/tex].
5 1/2 divided by 3 1/3
Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
Answer:
17/62 = 0.27419
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix? focus: (negative one-fourth, 0); directrix: x = One-fourth focus: (one-fourth, 0); directrix: x = Negative one-fourth focus: (–4,0); directrix: x = 4 focus: (4,0); directrix: x = –4.
The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
A parabola can be represented by the equation y² = – x.
The coordinates of the focus and the equation of the directrix will be given as
We know that the standard equation of the parabola y² = – 4ax.
On comparing, we have
a = 1/4 = 0.25
The focus of the parabola is at (–a, 0) that is (–0.25, 0).
The directrix of the parabola will be given as
y = a
x = 0.25
More about the parabola link is given below.
https://brainly.com/question/8495504
Answer:
A. focus: (negative one-fourth, 0); directrix: x = One-fourth
Step-by-step explanation:
i did it
what is
Find p(rolling a 4)
Answer: 4/6
Step-by-step explanation: This because most dice have a 6 sides on them and others have more and if you roll a 6-sided dice you will get 4/6 of a probabilty that you will role a 4.
Hope This Helps!What is the radius of a circle given by the equation x2 y2 – 2x 8y – 47= 0?
Answer:
the answer is 8 units
Step-by-step explanation:
The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.
It is given that the circle equation is given by [tex]\rm x^2+y^2-2x+8y-47=0[/tex]
It is required to find the radius of the circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We circle the equation:
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
Converting this equation into the standard form of the circle:
[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex] (by adding and subtracting by
1 and 16)
[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]
By comparing with the standard circle equation, we get:
r = 8
Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units
Learn more about circle here:
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The scale factor of a figure and its enlargement is 4. what is the new length of the enlarged figure if the original length is 4.5 cm? 4.0 cm 8.5 cm 16 cm 18 cm
The new length of the enlarged figure will 18 cm.
What is scale factor?A scale factor is a number which scales, or multiplies, the original figure by some quantity.
We have the equation for the scale factor.
Y=Cx
C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 4.5 cm, so with a scale factor of 4, the length of the enlarged figure will be
[tex]Y=4.5\times4=18\ cm[/tex]
Therefore, the new length of the enlarged figure will 18 cm.
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Which measurement is more precise? 45 fluid ounces or 79 cups
Answer:
45 fluid ounces
Step-by-step explanation:
Weight will be more accurate and consistent
To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact
L1S2
Area - Compound Shapes
Find the area of the shaded region in each figure. Round your answer to 2 decimal
places if required. (Use = 3.14)
PLEASE HELP I WILL MARK BRAINLIEST!
Answer:
just trust yourself
Step-by-step explanation:
What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with right angle m. l m equals 15. l n equals 39. m n equals 36.
The trigonometric ratio will be Cos(n)=12/13
What will be the trigonometry ratio?Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(n) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know that the cosine ratio is given by :-
[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]
[tex]Cos(n)=\dfrac{MN}{LN}[/tex]
[tex]Cos(n)=\dfrac{36}{39}[/tex]
[tex]Cos(n)=\dfrac{12}{13}[/tex]
Hence the required ratio will be [tex]Cos(n)=\dfrac{12}{13}[/tex]
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Sharon is preparing for a trip to kuwait. she calculates that she will need $1,166 to be converted to kuwaiti dinar. if the exchange rate of us dollars to kuwaiti dinar is 1:0.2879, how many dinar does sharon have? round your answer to two decimal places. a. 335.69 dinar b. 405.00 dinar c. 3,356.91 dinar d. 4,050.02 dinar
Answer:
335.69
Step-by-step explanation:
If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.
$1,166 x 0.2879 = 335.6914
335.6914 rounded to the nearest hundredth (two decimal places) is 335.69
So, it is A, 335.69 dinar.
335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.
We have a total amount that will need to convert = $1,166
Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879
It means $1 converted into 0.2879 dinar
The amount $1,166 in kuwaiti dinar = 1166×0.2879
= 335.69 dinar
Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
Learn more about the ratio here:
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The expressions (30-2)(30+2) and 30^2-2^2 are equivalent and can help us find the product of two numbers. which two numbers are they?
Answer:
28 and 32
Step-by-step explanation:
The product indicated in your problem statement is ...
(30 -2)(30 +2)
= 28 × 32
The two numbers are 28 and 32.
__
The equivalent (30^2 -2^2) means that product is 900 -4 = 896.
What is the surface area of each figure 11 m 7 m 6 m?
Answer:
hi, I'm glad to help! 185
Step-by-step explanation:
11*7=77
11*6=66
6*7=42
77+66+42=185
HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST
PLEASE SHOW HOW YOU GOT THE ANSWER!
Answer: 27
Step-by-step explanation:
For the holiday blockbuster movie
premier, the Acme theater ran 16
showings for opening day. If each
theater room holds 115 people and each
showing was filled, how many people
viewed the movie on the first day?
A 99 people
B 131 people
c 1,725 people
D 1,840 people
Answer:
1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.
Help!!!!! This is i-ready !!! Will mark brainiest please help!!!!
Answer:
I think answer C
Step-by-step explanation:
You can display how many toothbrushes were distributed each month on the dot plot :)
Have an amazing day!!
Please rate and mark brainliest!!
CAN SOMEONE PLEASE HELP
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]
Now we will use this identity in denominator
[ a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]
Answer:
[tex]\sf \dfrac{1}{2^n+1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]
Rewrite [tex]\sf 4^n[/tex]: [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]
Rewrite 1: 1 = 1²
[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]
Apply difference of two square formula to the denominator
[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]
[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]
Cancel out the common factor [tex]\sf 2^n-1[/tex] :
[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]
The area of a rectangle is 175 cm. And the width of the rectangle is 5 cm. What's the perimeter of the rectangle?
Answer:
80cm
Step-by-step explanation:
The area of the rectangle is given by Area = L*W (length, L and width, W).
175 cm^2 = 5*L
L = 35 cm
Perimeter is 2L + 2W
2(35cm)+2(5cm)
70cm + 10cm
Perimeter = 80cm
What type of number is -91i?
Choose all answers that apply:
real
imaginary
complex
Answer:
complex
Step-by-step explanation:
If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)
Answer:
440m^2
Step-by-step explanation:
15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.
Find the radius of the circle:
Area of a circle = pi x r^2
15,400 = 22/7 x r ^2
Divide both sides by 22/7
4900 = r^2
Take the square root of bothe sides:
R = 70
The radius of the circle is 70 meters.
now find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 22/7 x 70
Circumference = 440 meters
answer: 440 meters
find inverse equation for y=(x-3)^2
Answer:Rewrite the cartesian equation as a polar equation.
Rewrite the cartesian equation as a polar equation.r
Rewrite the cartesian equation as a polar equation.r2
Rewrite the cartesian equation as a polar equation.r2cos
Rewrite the cartesian equation as a polar equation.r2cos2
Rewrite the cartesian equation as a polar equation.r2cos2(
Rewrite the cartesian equation as a polar equation.r2cos2(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9Tap to view steps...
The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.
Edit: Adding the solution below to address update in the comments:
y
=
(
x
+
3
)
2
x
=
(
y
+
3
)
2
±
√
x
=
y
+
3
y
=
−
3
±
√
x
=> inverse relation
Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is
y
≥
0
, that should be the domain of the inverse function so for the inverse function we take the positive square root as follow:
f
−
1
(
x
)
=
−
3
+
√
x
=> this is the inverse function the domain and the range are:
domain:
x
≥
0
range:
y
≥
−
3
This means we need to restrict the domain of the original function to:
x
≥
−
3
in order for it to have an inverse function.