Answer:
y = -4x + 15
Step-by-step explanation:
y +1 = -4x(-4)
y +1 = -4x +16
y = -4x +15
Answer:
y = -4 + 15
Hope that this helps!
A RIGHT TRIANGLE HAS SIDES OF LENGTHS 3,4, AND X.
1. FIND X IF IT IS THE HYPOTENUSE
2. FIND X IF IT IS ONE OF THE LEGS!!!
Answer:
1) hypotenuse = 5
2) leg = 2.65
Step-by-step explanation:
1) x² = 3² + 4² = 9 + 16 = 25
x = √25 = 5
2) x² = 4² - 3² = 16 - 9 = 7
x = √7 = 2.65
The ratio of boys to girls in the school
band is 4:3. If there are 16 boys, how
many boys and girls are in the band?
A. 12
B. 28
C. 7
D. 21
Answer:
B. 28
Step-by-step explanation:
Answer:
B. 28
Step-by-step explanation:
for every 4 boys there is 3 girls
so,
from 4 to 16 you multiply by 4,
4 x 4 = 16 (what you do to one you do to the other:
4 x 3 = 12
It's asking for the total amount
if there is 16 boys there is 12 girls with the ration of 16:12
add them up,
16 + 12 = 28 (That's your answer).
Kylie surveyed seven classmates about the number of pieces of fruit they eat each week.
9, 4, 6, 2, 11, 10,7
a. What is the mean absolute deviation of the data set?
b. What does this value mean in terms of the data set?
Answer:
2.57
The mean variation in the number of pieces of fruits eaten by the classmates is 2.57
Step-by-step explanation:
Given the data:
X = 9, 4, 6, 2, 11, 10,7
The mean absolute deviation = Σ|x - xbar| / n
Xbar = mean value = Σx / n
n = sample size
The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7
Xbar = 49 / 7 = 7
Take the sum of the absolute value of the difference between the mean and x ;
Σ|x - xbar| / n =
= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7
= 2.57
the marked price of a car is £600000. what will be the discount if 5% is allowed
Answer:
30000
Step-by-step explanation:
discount (d)= 5%of M.p
=5/100 * 600000
=30000
A bakery sells mocha cupcakes and vanilla cupcakes. It sold 160 cupcakes in a day, and 65% of them were vanilla. How many of the cupcakes sold that day were mocha?
ACC Algebra 1 HW
Graphing inequalities has always been a subject that I've somewhat struggled on.
Answer:
y < x
Step-by-step explanation:
equation of line can be derived by finding slope and y-intercept
in this case the slope is 1 and the y-intercept is 0
equation is y = x
however, this is an inequality so answer is one of the following:
y > x or y < x
pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)
x = 1 and y = -1
which one is true? -1 > 1 or -1 < 1
-1 < 1 is the true one so inequality is y < x
Write the function 3x2 -12x + 61 in
vertex form.
Answer:
y=3(x-2)²+49
Step-by-step explanation:
vertex-form is given as y=a(x-h)²+k, where (h,k) is the coordinate of the vertex
we are given the function in standard form, which is:
y=ax²+bx+c
our function is:
3x²-12x+61
the value of a is given as the value of the coefficient in front of the squared term (in this case, it's 3)
here's the function so far in vertex form:
y=3(x-h)²-k
now, we need to find the vertex
to find h, we can use the formula (-b/2a)
the value of b is given as the value of the coefficient in front of the linear term (in this case, it's -12)
and we know from above that a=3
substitute what we know into the formula:
h=-b/2a
h=12/2(3)
h=12/6
h=2
so h is 2
*Please note that when we substitute it into the function, it's -2
so here is our function so far:
y=3(x-2)²-k
now to find k, which is given in the formula c-(b²/4a)
we know from above that a=3, b=-12
c is the value of the constant (term without a variable). In this case, it's 61
once again, substitute what we know into the equation:
k=61-((-12)²/4(3))
k=61-(144/12)
k=61-12
k=49
therefore the function will be:
y=3(x-2)²+49
Hope this helps!
Jose car rental company charges $2.75 for a pick up plus $1.25 for each mile driven. How much would you pay to travel 25 miles ? How far could you travel for $100 ? Please no link. I can't view them
Answer:
$34 and 77.8 miles
Step-by-step explanation:
The computation of the amount for traveling 25 miles is shown below:
Since it is given that the rental company charges $2.75 plus $1.25 for each mile
So for 25 miles, the cost you have to pay is
= $2.75 + 25 miles × $1.25
= $2.75 + $31.25
= $34
Now for traveling for $100, the miles should be traveled is
= ($100 - $2.75) ÷ 1.25
= 77.8 miles
Hence, the same is to be considered
Use the distributive property to write an expression that is equivalent to the expression 4(12 - 3x) + 6 for all values of x.
Set up a system of linear equations
Two times the smaller of two numbers plus three times the larger number is -2.
Four times the smaller number minus three times the larger number is – 22
Answer:
-4 ; 2
Step-by-step explanation:
x = largest ; y= smaller
2y + 3x = -2
4y - 3x = -22
Best method = elimination
sum the the two equations and replace one by the equation found
6y = -24
2y + 3x =-2
solve the first equation for y by dividing the two members by 6
y = -4
substutue -4 at the y of the second equation and solve for x
-8 + 3x = -2
3x = 6
x = 2
If 5 cans of tomato soup sell for $3 how much would 8 cans of tomatoes sell?
Answer:
$4.80
Step-by-step explanation:
Answer:
$4.80
Step-by-step explanation:
To get the price of one can, we divide 3 by 5
After doing this, we find one can costs $0.60
0.6 · 8 = $4.80
How do I solve this?
Answer:
SAS, SSS
Step-by-step explanation:
You're A>A>S
In the coordinate plane below, the xxx-axis represents the number of days after today, and the yyy-axis represents the temperature forecast in degrees Celsius. The points (3,7)(3,7)left parenthesis, 3, comma, 7, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis represent the high and low temperature forecasts of the same day.
Plot the points on the coordinate plane.
What is the difference between the high and the low temperature forecasts?
⬜ degrees Celsius
Answer:
10 degrees celsius
Step-by-step explanation:
helppppppppppppppppppp
Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
Answer:
Step-by-step explanation:
The slope is given to you by the line y = 1/4 x
The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.
The second part of the question is to use the given point to find b.
x = 4
y = -1
b = ? substitute x and y to find b
y = 1/4 * 4 + b
- 1 = 1/4 * 4 + b
-1 = 1 + b
-2 = b
The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.
What percent of $40 is $35?
In AHIJ, the measure of ZJ=90°, the measure of ZH=15°, and JH = 54 feet. Find the
length of HI to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
For the given central angle, determine the distance traveled along the unit circle from the point (1,0). 57
Answer: (a)- [tex]0.99\ \text{units}[/tex]
Step-by-step explanation:
Given
Central angle is [tex]57^{\circ}[/tex]
The radius of the unit circle is [tex]1\ \text{unit}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r[/tex]
Put the values
[tex]\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}[/tex]
5. Find the equation of a circle whose center is at (5, -8) and radius 8.
Answer:
[tex]x^{2} + y^{2} -10x -16y + 39[/tex]
Step-by-step explanation:-
The equation used to find the equation of circle is :-
[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]
'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.
In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.
So, 'a' will be 5 and 'b' will be -8
So,
[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]
[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]
[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]
[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]
= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]
An initial investment of $3,000 earns 7% interest compounded continuously. What will the investment be worth in 19 years? (Round your answer to the nearest cent.)
Answer:
$11343.13
Step-by-step explanation:
From the given information:
Principal = 3000
rate = 7% = 0.07
time = 19 years.
The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:
[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]
John has a gift card with a $26.61 balance. He wants to purchase songs on Itunes each song cost $1.29. He wants to keep $10 on the card for future use. How many songs can he buy
Answer:
12
Step-by-step explanation:
Answer:
11 songs
Step-by-step explanation:
11 songs would leave him with $10.30 left
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
height of the ball in metres and t is time in seconds. Determine the maximum height
of the baseball.
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]
[tex]\displaystyle H_{\text{max}}=f(t)[/tex]
notice that, our given function is not in standard form i.e
[tex] \displaystyle f(x) = a {x}^{2} + bx + c[/tex]
let's make it so
[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]
therefore we got
our a is -4.9 and b is 29.4
so substitute:
[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]
remove parentheses and change its sign:
[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]
simplify multiplication:
[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]
simplify division:
[tex] \displaystyle \: t = 3[/tex]
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]
simplify square:
[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]
simplify mutilation:
[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]
simplify substraction:
[tex]\displaystyle H_{\text{max}}=44.1[/tex]
hence,
the maximum height of the baseball is 44.1 metres
Answer:
Solution given:
height
h=29.4t – 4.9t²
differentiating each term with respect to time (t)
[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]
[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t
again second derivative
[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8
for maximum, minimum
first derivative =0
29.4-9.8t=0
t=[tex] \frac{29.4}{9.8} [/tex]=3
So it attains maximum height at t=3
so
maximum height=29.4×3-4.9×3² =44.1meters
So.
maximum height of the basketball is 44.1meters
What does the third equation become?
Answer:
8x-34=74
Explanation-
How do we represent a percent in a equation
Answer: heres an example
Step-by-step explanation:Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
Converting 0.20 to a percent: 0.20 * 100 = 20%
HELP PLEASE JUST HELP I AM SOOO STUCK
Answer:
z = 68, x = 9
Step-by-step explanation:
z must equal 68 since they're vertical angles.
-----------------------------
180 - 68 = 112
12x + 4 = 112
---> x = 9
Answer:
z = 68 degrees
x = 9
Step-by-step explanation:
z = 68 degrees because of the vertex angle theorem
x is a little more complicated
First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.
68 + (12x + 4) = 180
-68 -68
12x + 4 = 112
-4 -4
12x = 108
/12 /12
x = 9
A circle has a circumference of 52 inches. What is the circles radius using 3.14 for pi
Answer:
r = 8.28
Step-by-step explanation:
Circumference of a circle:
C = 2πr
52 = 2(3.14)r
52 = 6.28r
r = 52/6.28
r = 8.28
What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
Answer:
1,485
Step-by-step explanation:
The formula for area is A=bH (base x height) so you multiply 45 x 33
Answer:
D, I think
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Which equation describes a non linear function of x?
Answer:
I think D cause it has an exponent
Answer:
your answer is d because it is havinf power 2
Solve the following system using the SUBSTITUTION method.
x - 3y = 2
2x - 6y = 6
Step-by-step explanation:
x - 3y = 2
x=2+3y.....(1)
2x - 6y = 6
2(2+3y)-6y=6
it is not measurable.