Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]
Vertex = (-1, -13)
Step-by-step explanation:
[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]
Vertex = (h, k) = (-1, -13)
Which pair of expressions are equivalent?
A
3x+2+2x and 7x
B
8(x−3) a
nd 8x−24
C
4(x+1) and 4x+1
D
3(5x) and 8x
The manager of a store increases the price of a popular product by 9%. Let t be the original price of the product. The new price is t+0.09t. Write an equivalent expression by combining like terms. If the original price was $15.99, estimate the new price by first rounding the original price to the nearest dollar.
Answer:
new equation : 1.09t = new price
Step-by-step explanation:
1.09(15.99) = 17.4291
it's about $17
Help help math math
Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
The answer is 1
Step-by-step explanation:
Select the correct answer.
Simplify the following expression.
Answer:
B. 1/3
Step-by-step explanation:
This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.
Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)
In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3
(x^2−x−6x^2−8x+16)/(x2−x−12)
What number cannot be the value of x in the expression above? Why?
Question 12 options:
-3 and 4 cannot be the values of x in the given expression
The expression is given as:
[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]
Start by equating the denominator to 0
[tex]x^2 - x - 12 = 0[/tex]
Expand the above equation
[tex]x^2 - 4x + 3x - 12 = 0[/tex]
Factorize the equation
[tex]x(x - 4) + 3(x - 4) = 0[/tex]
Factor out x - 4
[tex](x + 3) (x - 4) = 0[/tex]
Split
[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]
Remove brackets
[tex]x + 3= 0\ or\ x - 4 = 0[/tex]
Solve for x
[tex]x =- 3\ or\ x = 4[/tex]
Hence, -3 and 4 cannot be the value of x in the given expression
Read more about expressions at:
https://brainly.com/question/2972832
Please solve the question on the file.
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
volume of
a
cone
are
The
and a cylinder
in 9
the ratio 1:9 respectively. The height and diameter
of
16cm and 14cm. The diameter of
the
28cm. Find the height of the cylinkes.
the
cone
are
15
cylinder
The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.
The height of the cylinder is 12 cmReasons:
The given parameter are;
Ratio of the volume of the cone to the cylinder to the 1 : 9
The height and diameter of the cone are; 16 cm and 14 cm
The diameter of the cylinder = 28 cm
Required:
To find the height of the cone:
Solution:
[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]
[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]
Volume of a cylinder, V = π·r²·h
[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]
Volume of the cylinder, V = π × 14² × h = 2,352·π
The volume of the cylinder = 9 × The volume of the cone
Therefore;
[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]
[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]
The height of the cylinder, h = 12 cm
Learn more about ratios here:
https://brainly.com/question/4713715
Whats the solution(X-1)=5x+2
Answer:
X= - ¾ X= - 0.75
Step-by-step explanation:
thats all i can do hope it help :D
Find the Values of X and Y
X=
Y=
Answer:
14 and 12
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (4, -2) C (-4,0)
Step-by-step explanation:
K = 2
K is the scale factor so the y and x distance between the points will double
just take to coordinates and multiply them by 2
A 1,1 new 2,2
B 2, -1 new 4,-2
C -2,0 new -4,0
2 3/7 + (-1 3/4) i need help please
Answer:
1/28
Step-by-step explanation:
Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 2.1
%
%
loan. Frederick doesn't want to pay more than $189 in interest. How many years does Frederick have to pay back the loan?
Answer:
3 years
Step-by-step explanation:
$3000(.021)=$63 per year.
189/63=3 years.
If ABCD is a parallelogram, m
Answer:
ABCD are the first 4 letters ina alphabet sooooo brooo wheres the parallelogram??
Step-by-step explanation:
answer pls having problem in this
[tex]\dfrac{\sqrt[3]{343}}{\sqrt[3]{-343}}=\dfrac{\sqrt[3]{343}}{-\sqrt[3]{343}}=-1[/tex]
Factor the following expression. Type x^2 for 22 as needed. If it is not factorable, type unfactorable.
22-8x+16
Answer:
63
Step-by-step explanation:
you divide and add then subtract
Find the measure of the indicated angle to the nearest degree
[tex]\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}[/tex]
How many yards is 24 feet
Answer:
8 yards
Step-by-step explanation:
1 yard is equal to 3 feet, so we just do 24/3 = 8 yards
Answer:
8
Step-by-step explanation:
1 feet is 3 yards so 24 yards is 8
The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
is represented by y. The number of servings of milk poured from the carton is represented by x.
4.) How many ounces of milk are in an unopened carton?
5.) How many ounces of milk are in each serving?
Answer:
-Below.
Step-by-step explanation:
4) When the carton is unopened the number of servings x = 0.
So there are 64-4(0) = 64 ounces in an unopened carton.
5) When all the milk has been poured out no. ounces left (y) = 0 so
64 - 4x = 0
4x = 64
x = 16
So each serving contains 16 ounces of milk.
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
A triangle has sides measuring 7 centimeters and 13 centimeters that form an angle measuring 44°. Which of these is CLOSEST to the length of the third side of the triangle? A) 8.1 centimeters B) 8.7 centimeters C) 9.3 centimeters D) 9.9 centimeters
Answer:
9.3 centimeters
Step-by-step explanation:
M is the midpoint of the segment. Find the length of XM.
Answer:
Step-by-step explanation:
4x+3=3x+5
x+3=5
x=2
Subsitute: 4x+3=11
XM=11
A recipe for a loaf of bread requires 2/3 cup of flour. How many cups of flour would it take to make 15 loaves of bread?
Answer:
10
Step-by-step explanation:
1 loaf if bread= 2/3 cup
15 loaves of bread= 2/3 × 15
= 10
Charlie surveyed his class to determine favorite colors. By examining his results in this chart, which numbered choice represents the fraction of the class that
Color
Number of
Students
red
9
white
4
blue
10
green
8
listed blue as their favorite color.
You put $400 in an account account balance nine months later is now $418 what is the annual interest rate
Answer:
6% a year
Step-by-step explanation:
r=(1/t)(A/p-1)
r= 1/9((418/400)-1) = 0.005
0.005*100 (for percentage) = 0.5%
rate monthly is 0.5%
0.5*12= 6
yearly is 6%
can y’all please help me
Answer:
15. d(1,3) e(4,4) g(1,-1) f(4,-2)
16. e(2,-1) f(4,-1) g(2,-3) h(4,-5)
Step-by-step explanation:
These are the coordinates to each point (x,y)
I hope this helps!!
An ice cream stand uses the expression to determine the cost (in dollars) of an ice cream cone that has scoops of ice cream.2 + 0.5x2+0. 5x2, plus, 0, dot, 5, xxxx
How much does an ice cream cone with scoops cost?55
Answer:
answer: 0
Step-by-step explanation:
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(x+4)•(x-1)
——————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(x+4) • (x-1) = 0
7.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
simple form
x = 1
x = -4
PLEASE HELP ME IN THIS QUESTION THE ASSIGNMENT IS DUE IN 2 MINUTES
Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.
Answer:
Continuous
Step-by-step explanation:
Please look for the question in the picture.
Answer:
Step-by-step explanation: