Answer:
y = - [tex]\frac{1}{2}[/tex] (x - 3)(x + 5)
Step-by-step explanation:
Given the x- intercepts are x = 3 and x = - 5 then the corresponding factors are
(x - 3) and (x + 5)
The equation is the the product of the factors, that is
y = a(x - 3)(x + 5) ← a is a multiplier
To find a substitute (- 1, 8) into the equation
8 = a(- 1 - 3)(- 1 + 5) = a(- 4)(4) = - 16a ( divide both sides by - 16 )
- [tex]\frac{1}{2}[/tex] = a
Then
y = - [tex]\frac{1}{2}[/tex] (x - 3)(x + 5) ← in factored form
solve the equation for y: 2x+3y=6
Answer:
Let's solve for x.
2x+3y=6
Step 1: Add -3y to both sides.
2x+3y+−3y=6+−3y
2x=−3y+6
Step 2: Divide both sides by 2.
2x 2 =
−3y+6
2 x= −3
2 y+3
Answer:
x= −3 2
y+3
If Horace can paint n houses in h hours. Which represents his average rate in houses per hour?
Answer:
n/h
Step-by-step explanation:
Average rate pf houses per hour = total number of houses painted / total hours
= n/h
Let's use an example - if i paint 10 houses in 2 hours.. how many houses would i paint in an hour
10/2 = 5 houses
Answer:
It's D, n/h
Step-by-step explanation:
help for my assighnment thanks
Answer:
D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
Just trust me
At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 3 minutes what percentage of customers have to wait less than 28 minutes to the nearest tenth
Answer:http://avconline.avc.edu/jdisbrow/ma115/Practice%20Test%203%20with%20answers.pdf
Step-by-step explanation:
you welcome
find the number that makes the ratio equivalent to 6:15
Answer:
2:5
Step-by-step explanation:
6 / 3 = 2
15 / 3 = 5
HELP PLEASE! DID I DO THAT RIGHT?!
Answer:
I think it is right, yes i think it is.
Step-by-step explanation:
If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?
Answer:
6
Step-by-step explanation:
72/24=3
3*2=6
How to get the simple interest
Answer:
0-o? you got my interest in you :0
Step-by-step explanation:
Find an equation in point-slope for the line having the slope m m = - 6 and containing the point (8,6)
Answer:
y-6 = -6(x-8)
Step-by-step explanation:
Here, we want to get the equation of the line in point-slope form
The point slope form is;
y-y1 = m(x-x1)
(x1,y1) represents the slope
We have this as ;
y-6 = -6(x-8)
About how many inches does a
20-inch diameter tir roll in one
turn? (Use 3.14 for it.)
Step-by-step explanation:
diameter = 20 inches
radius = diameter ÷ 2
radius = 20 ÷ 2
= 10 inches
circumference = 2π × radius
= 2 × 3.14 × 10
= 62.8 inches
-----------------------------------FOLLOW ME3. What are the factors in the expression 4(5 + x)?
Answer:
Step-by-step explanation:
The factors are the parts that are being multiplied together.
4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.
So the factors of 4(5+x) are:
4 and (5+x)
Find the length of a rectangle with a perimeter of 200 cm and
breadth 10 cm.
Answer:
2,000
Step-by-step explanation:
take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to the expression below?
2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k
b} 14k−1
c} 4k−4
d} 4+4k
Answer:
D. 4+4k
Step-by-step explanation:
(12k +8) - (8+ 8k - 4)
12k +8 - 8 - 8k + 4
4k +4
d}4+4k
2(6k+4)-4(2+2k-1) writing down the question
12k+8-8-8k+4 multiplying the numbers by the coefficients
12k-8k+8-8+4 collecting like terms
4k+4 the answer
Please
Explain, in detail, the steps on how to factor the following trinomial: 3x^2 + 5x + 2
Answer:
Step-by-step explanation:
Hope this helps
8 cubed as a single power of 2
Answer:
[tex]2^{9}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ and so
8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]
Find the domain and range for f(x)=pi cos(x)
Domain of f(x) = pi cos x is ALL REAL NUMBERS.
The range of f(x) = pi cos x is [-1, 1].
Will and Ben win £1000 in a raffle
they give a fifth of it to charity and share what's left in the ratio 1:3.
How much is bens share
Answer:
600
Step-by-step explanation:
Answer:
£600
Step-by-step explanation:
1/5 of 1000= £200
that means £800 is left over
1:3= 200:600
ben gets £600, will gets £200
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca
$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes
and bottles of water.
a. Choose variables for the two unknown quantities in the problem and tell wha
each variable represents.
b. Use the variables you chose in problem 3a to write an equation for the amour
of money Mr. Lincoln spends.
c. Use the variables you chose in problem 3a to write an equation for the numbe
of drinks Mr. Lincoln buys.
d. Solve the system of equations. How many packs of juice boxes and how many
packs of water does Mr. Lincoln buy? Show your work.
SOLUTION
my
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount of $2 off the original price (p) of each ticket. What is the value of p?
the answer is $7
Step-by-step explanation:
70 divided by 14 is 5.
cost would be $5 per person before discount of $2
$5 plus $2 equal $7
p= $7
A gas station started the weekend selling gas for $3.79 per gallon. Towards the end of the weekend, gas was $3.49 per gallon. What is the percent decrease in gas price per gallon? Round percentage to the tenths place.
Answer: 7.9%
Step-by-step explanation:
trust me
Write 360 as a product of prime factors.
Give your answer in index form.
Answer:
2³ × 3² × 5
Step-by-step explanation:
360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5
Is
Y=-3/4x -2
Y=3/4x+1
One solution many solution or no solution
how can you solve 25% of 44 both mentally and with pencil and paper?
Answer:
Solving it mentally :-
It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.
25% = 0.25
0.25 × 44 = 11 *Answer is bolded.*
Solving it on paper :-
I have attached a picture of me doing it on paper.
Hope this helps, thank you :) !!
Need help due today please
Answer:
f(x) = -7(x-5)^2 +5
f(-1) = -7(-1-5)^2 +5
f(-1) = -7(-6)^2+5
f(-1) = -7(36)+5
f(-1) = -252+5
f(-1) = -247
Let me know if this helps!
Answer:
-247
Step-by-step explanation:
f(-1) = -7((-1)-5)^2
Could someone possibly help me with this question? Thanks
Answer:
[tex]12\sqrt{2}[/tex]
good luck, hope this helps :)
simplify -5 ¼ - (-7 ½)
Answer:
2 1/4
Step-by-step explanation:
-5 1/4- (-7 1/2)
to minus cancel each other out so it becomes a plus
-5 1/4 + 7 1/2
common dinomanater
-5 1/4 + 7 2/4
2 1/4
James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%
The answer is A.
Step-by-step explanation:
ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.
If a = -2 and b = -4 -3i, then find the value of a b in fully simplified form.
Answer:
I'm not so sure but I think it's 6 or 9i
SOLVE THIS
I WILL GIVE BRAINLIEST
hope it becomes helpful to you ☺️☺️
good luck
6596
Find the gradients of lines A and B.
y
B
A
NO
4
3
2
1
-B-2-19
2 3 4 5 6 7 X
2
3
Answer:
formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Step-by-step explanation:
choose two point of A, let k(-2, -3) and l(1, 3)
[tex] m = \frac{ - 3 - 3}{ - 2 - 1} = \frac{ - 6}{ - 3} = \frac{1}{2} [/tex]
choose two point of B, let c(0, 5) and d(5, 0)
[tex]m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1[/tex]
Hence the gradient of A is
[tex] \frac{1}{2} [/tex]
and B is -1