Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
Dante wants to read a 425-page book in 3 days. He reads 178 pages on Monday and 146 pages on Tuesday. He wants to determine how many pages, p, he will have to read on Wednesday.
Answer:
101 pages
Step-by-step explanation:
first, you need to add the number of pages read on monday and the number of pages read on tuesday, and get 324. then, you subtract the number of pages read from the amount of pages there are, and get 101.
which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8
4 -2 5
5 -1 8
this is what it showed in brackets as the correct answer.
The matrix that represents the system of equations 4x-2y=5 and 5x- y=8 is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
How to determine the matrix?The system of equations is given as:
4x-2y=5
5x- y=8
Remove the variables
x y
4 -2 5
5 -1 8
Represent as a matrix
[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
Read more about matrix at:
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Show me the steps to solving this equation. 3x + 2 = 14
Answer:
4
Step-by-step explanation:
multiply 3 by 4 to get 12 and add 12 to 2 and you get 14
Plzzzzzzz helppppppp
Answer:
a i think
Step-by-step explanation:
Answer:
Y = -5 + 5
Step-by-step explanation:
You can check the y intercept and it's a negative 5 slope
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Step-by-step explanation:
2500×5%=125
125×2=250
2500+250=2750$
Answer:
2756.25 This is what he will pay going into the third year.
Step-by-step explanation:
This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?
Or do you compound the rent after each Year.
Simple Interest
Rent after the first year
Rent after first year = 2500 + 5%*2500
Rent after first year = 2500 + 125
Rent after first year = 2625
The rent after the second year will be the same.
Compound interest.
Rent after first year is 2625
At the end of the second year it will be 2625 + 2625*5%
Second year payment = 2625 + 2625*5/100
Second year payment = 2625 + 131.25
Second year payment = 2756.25
hey , can you help me with this thanks !!
Answer:
16
Step-by-step explanation:
the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16
Answer:
18.6cm (rounded to 3 s.f.)
Step-by-step explanation:
You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.
So this means:
[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm
6² + base² = 64cm
36 + base² = 64
base² = 64-36
= 28
base = [tex]\sqrt{28}[/tex]
≈ 5.2915 (5 s.f.)
So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.
Thus, x = 5.2915 + 5.2915 + 8
= 18.6cm (rounded to 3 s.f.)
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answer:
$487.20
The answer is $487.20 if he expects to deposits $830.
Plot each point on the coordinate plane.
18% of what number is 22?
Answer:122.222222
Step-by-step explanation: hope this helps
can i have brainliest?
Which of the following is a prime number between 20 and 30?
A. 27
B. 25
C. 21
D. 23
Answer:
23
Explanation:
A prime number can only be multiplied by itself and 1 and that is true for 23
A stock was priced at $12., per share. It rose in price by s3 per share. What was its
new price?
OA) si
OB) 594
OC) sis
OD) 595
I appreciate the help and if you don’t mind can someone please help me with this one too
Answer:
he must work 8 hours
Step-by-step explanation:
soln:
given,
$8=1 hour
or,$1=1/8 hour
so,
$64=64*1/8 hour
•°•$64=8 hours
When Daria gets to school, the temperature is 5.7°F. The temperature changes
by -9.5°F by the time she goes to bed. What is the temperature when Daria goes
to bed? Show your work.
Answer:
-3.8
Step-by-step explanation:
The temperature when Daria goes to bed was -3.8° F.
What is subtraction?To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, When Daria gets to school, the temperature is 5.7 °F. The temperature changes by -9.5 °F by the time she goes to bed.
5.7 - 9.8 = -3.8
Hence, The temperature when Daria goes to bed was -3.8° F.
For more references on subtraction, click;
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what are the factors of x^2-8x-20
Answer:
(x+2)(x−10)
Step-by-step explanation:
x^2-8x-20
Factoring means something like this:
(x+_)(x+_)
Add together to get -8
Multiply together to get -20
think of the two numbers
Try 2 and -10:
2+-10 = -8
2*-10 = -20
Fill in the blanks of with 2 and -10 to get
(x+_)(x+_) = (x+2)(x−10)
I hope it's right!
PLZ HELP ME! THIS IS DUE TODAY!
Pretend a classmate missed the lesson today. What would you tell them about how to make a table to represent a rate? How would you tell them how to use the table to make a graph?
Answer:
In order to make a table representing a rate, you would have to find the unit rate of what you need. Then you would take it and multiply it by the multiple, or divide it by the factor needed.
Step-by-step explanation: Example
Unit rate=1:2
Make multiples and input into graph(the colons represent the graph)
input:output
[1:2]
[2:4]
[3:6]
[4:8]
[5:10]
Answer:
I would tell them to copy what I am doing
Find the measures of the exterior angle.
Answer:126
Step-by-step explanation:
3x + 2
38
12/
12
30
12x-7
Answer:
djjfjhcuj7u
Step-by-step explanation:
5ug77hhig jk uyhvhbbijvcujgguihgguhgjHelp meeeee pleaseee (10 points)
Answer:
48.7
Step-by-step explanation:
This is a right triangle, so let's use Pythagorean Thearum to solve.
a2+b2=c2 substitute the numbers in. [tex]35^2+b^2=60^2\\[/tex] = 1,225+b^2=3,600
subtract 1225 from 3600. 3600-1225=2375. Now we have to find the square root. [tex]\sqrt 2375[/tex] equals about 48.7
to double-check: 1225 + 2375 = 3600 this equation holds true. so 48.7 is the answer.
Eric wishes to triple the recipe how much of each ingredient should he use
Answer:
What are the measurements to begin with?
Step-by-step explanation:
generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3
Answer:
HURRYYYY PLEASE HELP ME T-T
Step-by-step explanation:
https://brainly.com/question/19692618
What is the answer ??
Answerd:
Step-by-step explanation:
Answer:
Put the dot on the 5/10 mark!
Step-by-step explanation:
6 Bridesmaids want to make 330 decorations for a wedding. Each
decoration takes about 2 4 minutes to make. How many hours will it take
for each person to make all the decorations?
Answer:
about 3.21 hours each
Step-by-step explanation:
First divide 330 by 6 since there are six people.
Every person needs to do 55 decorations.
I would take the average of 2-4 minutes and multiply it by 55.
55 x 3.5 = 192.5 minutes
to convert to hours divide by 60.
192.5 / 60 = 3.21
How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >
Answer:
112
Step-by-step explanation:
16 ounce multiply that by 7. 112. This correct i googed it
There are 36 boys and 12 girls at the Zephyrs baseball game practice. What is
the ratio of boys to girls?
a 4:1
C. 1.4
b. 3:1
d. 1:3
Answer:
Step-by-step explanation:
the ration of boys to girls will be:
36/12=3/1
choice b
another way
36 boys.........................12 girls divide by 6
6 boys.............................2 girls divide by 2
3 boys.............................1 girl
please help me the blue line is what I have to solve for
Step-by-step explanation:
blue line = x
12c-8-2c+10-4=10c-x
(12-2)c+(10-4-8)=10c-x
10c-2=10c-x
=> x=2
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Explain why there is no solution to the system of inequalities given below.
Answer:
You end up getting the same equation!
Step-by-step explanation:
I needddd helppp pleaseeeeee
Answer:
has to be letter b because they connect and then separate opposite sides
The table shows of a ratio used to make of orange paint use a table how many quarts of yellow paint would be required to make the shade of orange if you use 9 quarts of red paint
Answer:
[tex]Y = 7\frac{1}{2}[/tex]
Step-by-step explanation:
Missing Table:
Yellow Paint ----------- Red Paint
5 ---------------------------------6
Required
Determine the quarts of yellow paints when 9 quarts of red are used
Represent Yellow with Y and Red with R.
When Y = 5 and R = 6, we have the following:
[tex]Y : R = 5 : 6[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{5}{6}[/tex]
When R = 9 and Y is unknown, we have the following:
and
[tex]Y : R = Y : 9[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{Y}{9}[/tex]
Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y
[tex]\frac{5}{6} = \frac{Y}{9}[/tex]
Multiply through by 9
[tex]9 * \frac{5}{6} = \frac{Y}{9} * 9[/tex]
[tex]9 * \frac{5}{6} = Y[/tex]
[tex]3 * \frac{5}{2} = Y[/tex]
[tex]\frac{15}{2} = Y[/tex]
[tex]7\frac{1}{2} = Y[/tex]
[tex]Y = 7\frac{1}{2}[/tex]
Hence, [tex]7\frac{1}{2}[/tex] quarts of the yellow paints is required
What is the decimal value of 5/6
Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Hey there!
• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)
• “What is the decimal value of 5/6?”
5 / 6 = 5 ÷ 6 → 0.83
Answer: 0.83 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)