A quadratic function has an axis of symmetry at x=4 and contains the points (2, -6) and (7, -11). Find the equation in standard form (y=ax2+bx+c). Then state the "a" value in the equation.

Answer:

The answer would be 3(x + 6).

3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number

An expression is combination of variables, numbers and operators.

Given,

We need to find the expression of word phrase "the product of 3 and 6 more than a number"

Product means multiplication of two or more numbers.

more than a number means a number is added to it.

Here in the given phrase, x is the added number.

6 more than a number means 6+x

the product of 3 and 6 more than a number

3(x+6)

Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number

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Answer:

Step-by-step explanation:

Step one:

we are told that their joint amount is $62

let John's amount be x

and Pedro's amount be y

so that y=x+15

Step two:

The equation to represent the situation is

62=x+(x+15)

open the bracket and solve for x we have

62=x+x+15

62=2x+15

2x=62-15

2x=47

divide both sides by 2

x=47/2

x=23.5

John has $23.5

This question was not written properly

Complete Question

Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.

Answer:

a) The number of 13 cent = 14

b) The number of 29 cent = 24

c) The number of 45 cent = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's

Number of 13 cent = a

Number of 29 cent = b

Number of 45 cent = c

Hence,

a + b + c = 54........... Equation 1

The total value of the 3 stamps are $15.98.

1 cent = $0.01

We have

0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2

We know from the question that:

13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Therefore

2(0.13a) + 0.29b + 0.45c = 17.8

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

Combining Equation 2 and 3 together

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

We eliminate b and c by Subtracting Equation 3 from 3

0.13a = 1.82

a = 1.82/0.13

a = 14

a + b + c = 54........... Equation 1

Since a = 14

14 + b + c = 54

b + c = 54 - 14

b + c = 40

c = 40 - b

Substitute 40 - b for c and 14 for a is Equation 2

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98

= 1.82 + 0.29b + 18 - 0.45b = 15.98

Collect like terms

1.82 + 18 - 15.98 = 0.45b - 0.29b

3.84 = 0.16b

b = 3.84/0.16

b = 24

Hence: Solving for c

a + b + c = 54........... Equation 1

14 + 24 + c = 54

38 + c = 54

c = 54 - 38

c = 16

Therefore,

The number of 13 cent = 14

The number of 29 cent = 24

The number of 45 cent = 16

Complete Question

The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value

Answer:

    This a right tailed test

  The p-value is   p-value  = 0.14917

Step-by-step explanation:

From the question we are told that

   The alternative hypothesis is [tex]H_a : p > 0.9[/tex]

   The test statistics is  [tex]z = 1.04[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve

From the z table the area under the normal curve to the right corresponding to 1.04 is  

     P( Z>  1.04 )  = 0.14917

Generally the p-value is mathematically represented as

      p-value  =  P( Z>  1.04 )  = 0.14917

Answer:

Yes, the table shows a proportional relationship

The value of y when x is 11 is 1331

Step-by-step explanation:

Let us check the relation between x and y in the table

∵ x = 4 and y = 64

∵ 64 = 4³

∴ y = x³

∵ x = 5 and y = 125

∵ 125 = 5³

∴ y = x³

∵ x = 6 and y = 216

∵ 216 = 6³

∴ y = x³

∵ x = 10 and y = 1000

∵ 1000 = 10³

∴ y = x³

∵ All the values on the table give the same relation

∴ x and y are proportion

∴ The table shows a proportional relationship

∵ y = x³

∵ x = 11

∴ y = (11)³

∴ y = 1331

∴ The value of y when x is 11 is 1331

Answer:

5 litres

Step-by-step explanation:

60 ÷ 10 = 6

50 ÷ 10 = 5

So 5 litres of petro

I hope this helped, please mark Brainliest, thank you!

Answer:

$62.05 is the new price

the reduced price is $10.95

Step-by-step explanation:

73*.85=62.05

42 divied by 3kg the after you get that answer then multiply that by 4kg

Step-by-step explanation:

3 kg of rump steak = £ 42

So, 1 kg of rump steak = £ 42/3 = £ 14

So, 4 kg of rump steak = £ 14 × 4 = £ 56

Answer:

corresponding I believe

Step-by-step explanation:

if I'm wrong someone tell me and I'll go in the corner

Answer:

D) Alternate interior

Step-by-step explanation:

Its a bit hard to explain for me, since I did this stuff in 5th grade and now I'm in 10th.

P.S: Please mark my answer as brainliest, I need it to rank up.

Answer:

Option (3)

Step-by-step explanation:

Option (1)

Fast food 2 and the Park → Consecutive exterior angles

Option (2)

The lake and the Post office→ Consecutive exterior angles

Option (3)

The Apartments and Fast food 1 → Consecutive interior angles

Option (4)

Fast food 2 and the Grocery store → Linear pair of angles

Option (5)

The Apartments and the Post office → Linear pair of angles

Option (6)

The Big Box Store and the Grocery Store → Consecutive interior angles

Therefore, Option (3) and Option (6) will be the correct options.

Answer:

B

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

there is no solutions

Step-by-step explanation:

Answer:

The equation has no solution

Step-by-step explanation:

1 does not equal -6

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0

Answer:

1,596 cm cubed

Step-by-step explanation:

Volume of box = 12*7*19= 1,596 cm cubed

Answer:

1596

Step-by-step explanation:

To find the volume of a box, you multiply the length, width, and height of the box.

So, 12 times 7 is 84 times 19 is 1596.

Answer:

Step-by-step explanation:

3:4

9:12

28:37.3

27:36

60:80

Answer:

35 cents per apple

Step-by-step explanation:

its 7 / 20 and you get 0.35

Answer:

3.75

Step-by-step explanation:

2.5x-.75=1.5x+3

x=3.75

Answer:

2y>10

y>5 is your answer

Answer:

710 is the answer.

Step-by-step explanation:

7.1 x 10^2

10^2= 10 x 10 = 100

so,

7.1 x 100 = 710

Answer:

9 7/10 is a decimal number is 9.7

Answer:

$1.6

Step-by-step explanation:

do 10-2 then you do 8 dived by 5

Answer:

The cost of each bag is $1.6 according to my calculations.

Step-by-step explanation:

Given:

After 8 months, you have been able to save $937.

You have the ability to save $130 per month.

To find:

The model for the situation and y-intercept and rate of change.

Solution:

Let y be the ability to saving after x months.

Ability to save in one month = $130

Ability to save in x months = $130x

So, total ability is

[tex]y=130x+b[/tex]      ...(i)

where, b is initial savings.

After 8 months, you have been able to save $937.  So, the point is (8,937).

Put x=8 and y=937 in (i),

[tex]937=130(8)+b[/tex]

[tex]937=1040+b[/tex]

[tex]937-1040=b[/tex]

[tex]-103=b[/tex]

So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.

Put b=-103 in (i).

[tex]y=130x+(-103)[/tex]  

[tex]y=130x-103[/tex]

On comparing with slope intercept form, we get

Slope = 130 and y-intercept = -103

Therefore, the slope is 130 and y-intercept is -103.

Answer:

-12

Step-by-step explanation:

Each dash is +-4

Given:

Side length of square is x = 10 in.

To find:

Area of a square with side length x when x = 10 in.

Check whether the area of a square and the length of its side directly proportional.

Solution:

Area of square is

[tex]Area=(side)^2[/tex]

[tex]Area=x^2[/tex]

For x=10, we have

[tex]Area=(10)^2[/tex]

[tex]Area=100[/tex]

Therefore, the area of square is 100 sq. in. when x=10 in.

For x=1,

[tex]A_1=1^2=1[/tex]

[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]

For x=2,

[tex]A_2=1^2=4[/tex]

[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]

Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].

Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.

Answer:

D

Step-by-step explanation:

p^2

Answer:

50 degrees, 40 degrees

Step-by-step explanation:

3x-25+x+15=90                       Complementary angles add up to 90 degrees

4x-10=90

4x=100

x=25

75-25=50 and 25 plus 15=40  50+40=90

x=25°

There are two angles that can form:

• Supplementary Angles: if both angles are added = 180 °

• Complementary Angles: if both angles are added = 90 °

(3x-25)+((x+15)=90

4x-10=90

4x=100

x=25°

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

Answer:

123 full pages

Step-by-step explanation:

Given

[tex]Total\ Stamps = 617\ stamps[/tex]

[tex]Each\ Page = 5\ stamps[/tex]

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

[tex]Pages = \frac{Total\ Stamps}{Each\ Page}[/tex]

[tex]Pages = \frac{617}{5}[/tex]

[tex]Pages = 123.4[/tex]

Then we record only the quotient

The quotient is the digits before the decimal

[tex]Pages = 123[/tex]

Hence, she has 123 full pages

Answer:

36

Step-by-step explanation: