Answer:
x = 1 and vertex = (1, - 7 )
Step-by-step explanation:
Given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 )
The the equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 4x² - 8x - 3 ← is in standard form
with a = 4, b = - 8 , then
x = - [tex]\frac{-8}{8}[/tex] = 1
That is equation of axis of symmetry is x = 1
Substitute x = 1 into the function for y- coordinate of vertex
y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7
vertex = (1, - 7 )
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.
Answer:
I gotchu
Step-by-step explanation:
The volume triples
Odysyware
Answer:
The volume triples
Step-by-step explanation:
i got 100% on quiz for odysseywa
solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
A mason gets $684 for 9 days
of work how many days
should he work to get $912
Answer:
12days
Step-by-step explanation:
A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.
Answer:
12 days
Step-by-step explanation:
912/76 = 12
a clothing distributor sold an $80 coat at a discount price of $73. what was the percentage of discount for the coat?
Answer:
91%
Step-by-step explanation:
The discount is $73 so we would get 73/80.
73/80 is also known as 73÷80
which would equal 0.9125
if we were to covert and round it to a percent, it would be 91%
A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?
Answer:
P = 0.232
Step-by-step explanation:
In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.
This adds up to a total of 30 bottles.
Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.
The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,
This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:
p = 12/30
Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.
In this case, the probability is:
q = 11/29
The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.
Then the probability of pulling apple juice and then pulling another apple juice is:
P = p*q = (12/30)*(11/29) = 0.232
What is
-2.3 -
(4.5 – 3)?
2.3
1.3
10.3
-3.3
Answer:
-3.8
Step-by-step explanation:
-2.3 - 1.5 = -3.8
The area of a square is 1800 in2, how long is each diagonal?
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Answer:
60 in
Step-by-step explanation:
The area of a square can be computed as ...
A = (1/2)d^2 . . . . where d is the length of the diagonal
For an area of 1800 in^2, the diagonal length can be found as ...
1800 in^2 = 1/2d^2
3600 in^2 = d^2
d = √3600 in = 60 in
The length of each diagonal is 60 inches.
Is this a Percent Increase or Decrease Problem?
Shaleka had a 10%-off coupon and paid $36 for pair of
jeans.
Answer:
Percent Decrease
Please mark as brainliest for further answers :)
Hey, I need help!
What is 56/2?
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
what is the area of the triangle
Answer:
90units²
Step-by-step explanation:
area of a triangle= ½base *height
area = ½*12*15
area= 90units²
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
Learn more about exponents here: https://brainly.com/question/11975096
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a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?
Answer:
150 pairs
Step-by-step explanation:
so total money spent Is equal to 5000
profit is equal to 3000
profit on each pair is equal to 20
so 3000 divided by 20
which gives 150
so 150 pairs of sunglasses were involved
pls give me brainliest I need it
Answer:
The sunglasses involved are 200
Workout the probability that spinner A lands on 2 and spinner b does not land on b
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?
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Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
__
e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
First answer gets brainest. 8th grade math root question
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
Select the reason that supports the following statement.
Answer:
B. Subtraction property of equality
Step-by-step explanation:
If you subtract angle 3 from both sides, then angle two and angle four must be equal. The property you would be using is the subtraction property of equality.
Answer:
Subtraction property of inequality
Step-by-step explanation:
See
<2+<3=<3+<4As <3 is same on both sides We can cancel it out
The expression yields
<2=<4Examine the following graph, where a transformation maps P(x)
to I(2).
Answer:
Reflection over the x-axis
Step-by-step explanation:
how many squre deet of outdoor carpet will we need 11ft 3ft 2ft 3 ft
Answer:
39 sq feet
Step-by-step explanation:
anyone help me pls:
1/9 - 3/4
Answer:
- 23/36
Step-by-step explanation:
Make sure both fractions of the denominators are the same.
1 x 4 = 4
9 x 4 = 36
3 x 9 = 27
4 x 9 = 36
Final: 4/36 - 27/36 = - 23/36
Aiden researches and finds that 37% of students at his school participate in the after school program. Aiden takes a random sample of 50 students and finds that 27 students participate in the after. Which statement correctly describe the sample ratio?
O The sample ratio is 27%, which is above the population ratio.
O The sample ratio is 27%, which is below the population ratio.
O The sample ratio is 54%, which is above the population ratio.
O The sample ratio is 54%, which is below the population ratio.
Answer:
Divide the number of students who participate in the after school program by the number of students in the sample. Multiply by 100 to find the percentage.
Step-by-step explanation:
Use the random sample to make an inference about the sample and population.
O GEOMETRY, MEASUREMENT, DATA ANALYSIS
Metric conversion with decimal values: Two-step problem
A coral reef grows 0.17 m every week. How much does it grow in 13 weeks?
Write your answer in centimeters.
cm
X Х
5
?
Meters to centimeters
Answer:
It grows 221 centimeters in 13 weeks.
Step-by-step explanation:
Each meter has 100 centimeters.
A coral reef grows 0.17 m every week
So it grows 0.17*100 = 17 cm every week.
How much does it grow in 13 weeks?
17 cm every week for 13 weeks, so
17*13 = 221
It grows 221 centimeters in 13 weeks.
Find the value of x.
6
14
3x-12
21
x = [?]
Find x in each triangle.
Answer:
it is 3.4 cm
Step-by-step explanation:
by phythagorous teorm
3 square +1.6 square=x square
11.56=x square
then x =radical 11.56 =3.4 cm
A triangle has sides with lengths of 21 meters, 70 meters, and 73 meters. Is it a right triangle?
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Answer:
no
Step-by-step explanation:
It is close, but not exactly a right triangle.
If it were a right triangle, we would have ...
21² +70² = 73²
We have instead ...
441 +4900 ≠ 5329
5341 ≠ 5329 . . . . . . . . not a right triangle
15. Which graph shows - 3x + y = 8
first question
Answer:
Im sorry but i can't read it
Step-by-step explanation:
Use the net as an aid to compute the surface area of a triangle pyramid with an equilateral triangle base
Answer:
106 ft 2
Step-by-step explanation:
Answer:
323 in
Step-by-step explanation:
Find the volume (in cubic inches) of an exercise ball with a radius of 17 inches. (Round your answer to one decimal place.)
Answer:
20579.52628
Step-by-step explanation:
4/3 pi(r^3)
4/3 pi x 17 x 17 x 17
= 20579.52628
Answer:
20579.5
Step-by-step explanation:
The formula for The volume of a Sphere is 4/3 pi r^3
so it would be 4/3pi * 4913
4.19666666....* 4913 which would equal to 20.579.53333333333 or 20579.5
Your company paid a dividend of $2.00 last year. The growth rate is expected to be 4 percent for 1 year, 5 percent the next year, then 6 percent for the following year, and then the growth rate is expected to be a constant 7 percent thereafter. The required rate of return on equity (ks) is 10 percent. What is the current stock price?
Answer: Calculation of the dividends:- Year 1 = 2 * (1.04) = $ 2.08 Year 2 = 2.08 * (1.05) = $ 2.184 Year 3 = $ 2.184 * (1.06) = $ 2.31504 Year 4 = $ 2.31
3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
Answer:
Answer:
(b). 3.5
(c). 28 cubes
Step-by-step explanation: