Solve the equation 64f^2-225.

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Answer:

50e=t

Step-by-step explanation:

Wheaty Squares = w

Mighty O's = m

ounces in each box = e

total ounces of cereal = t

w+m=30+20=50

Answer:

43

Step-by-step explanation:

Answer:

no it is not c it is b

Step-by-step explanation:

2+(5×4)-(8×5/4)

2+20-40/4

22-10

12

The correct option is B, which is 12.

Given to us:

[tex]2+5\times4-8 \div (\frac{4}{5})[/tex]

To solve such questions, we use BODMAS Rule which helps us decide the order of the operations to solve the mathematical problems.

B - Brackets

O - Order/Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

Therefore, In equation [tex]2+5\times4-8 \div (\frac{4}{5})[/tex] ;

1. solve brackets first,

[tex]2+5\times4-8 \div (0.8)[/tex]

2. solve Division,

[tex]2+5\times4-10[/tex]

3. Solving Multiplication,

[tex]2+20-10[/tex]

4. Solving Addition,

[tex]22-10[/tex]

5. Solving Subtraction,

12.

Hence, the correct option is B, which is 12.

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Answer:

your answer is D

Step-by-step explanation:

hope this helps

Answer:

44.34

Step-by-step explanation:

[tex]15 \div 100 \times 38.56 = [/tex]

[tex] = 5.78[/tex]

[tex]38.56 + 5.78 = 44.34[/tex]

Answer:

35 dogs

Step-by-step explanation:

Given

[tex]49\ dogs: 28\ cats[/tex]

Required

Determine the number of dogs for 20 cats

Represent the required number of dogs as a ratio of number of cats

[tex]x : 20\ cats[/tex]

So, we have:

[tex]49\ dogs: 28\ cats[/tex]

[tex]x : 20\ cats[/tex]

Since, the ratio is the same throughout, we have:

[tex]x : 20\ cats[/tex] = [tex]49\ dogs: 28\ cats[/tex]

Convert ratio to fraction

[tex]\frac{x}{20} = \frac{49}{28}[/tex]

[tex]\frac{x}{20} = \frac{7}{4}[/tex]

Multiply through by 20

[tex]x = \frac{7}{4} * 20[/tex]

[tex]x = 7 * 5[/tex]

[tex]x = 35[/tex]

Please friend I do not know

Answer:

Formula: Future value of annuity

In 20 years: $249,875

Total Interest: $99,875

Step-by-step explanation:

Use the formula for future value:

FV =

P = $6,000

r = 0.04

n = 1

t = 25

FV =

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:

$6,000 annual payments for 25 years = 6,000 • 25

= $150,000

(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)

Account balance In 20 years is $249,875 and total interest earned is $99,875.

The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.

We have,

P = $6,000

r = 0.04

n = 1

t = 25

We know the formula for future value

​FV= PV [tex](1 + r)^{n}[/tex].

where:

P=Investment amount

R=Interest rate

T=Number of years

According to the question​​

FV=$6,000×(1+0.04

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000

Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875

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Answer:

Step-by-step explanation:

Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece

Answer:

B and C; 0.5 and 4.5

Answer:

y = 1/3x - 1

Step-by-step explanation:

Answer:

John pay:449.65

Step-by-step explanation:

(391×15)÷100=58,65

391+58,65=449,65

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 +  7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B.  5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

Answer:

187.6 i think

Step-by-step explanation:

Answer:

$187.60

Step-by-step explanation:

Find 7.2% of the price to figure out the sales tax:

7.2% * 175 / 100% = $12.60

Add the sales tax to the original price:

$12.60 + $175.00 = $187.60

Answer:

a

Step-by-step explanation:

Answer: The correct answer is B. 1/9=3^-2

Step-by-step explanation:

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

[tex]y - 3 = 3 (x-1)[/tex]

[tex]y-3 = 3x-3[/tex]

[tex]y = 3x-3+3[/tex]

[tex]y = 3x[/tex]

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

Answer:

Equation: y = [tex]\frac{7}{4}[/tex] x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

The correct answer is A. g(x)=(x-3)^2+1

The equation of the blue graph is g(x) = (x - 3)² + 1.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:

f(1.5) = g(1.5)

1.5² = g(1.5)

2.25 = g(1.5)

Therefore, we know that the vertex of g(x) is (1.5, 2.25).

Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.

So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:

g(x) = (x - 3)² + 1

Expanding this equation, we get:

g(x) = x² - 6x + 9 + 1

g(x) = x² - 6x + 10

g(x) = x² - 2 x 3x + 9 + 1

g(x) = (x - 3)² + 1

Therefore,

The equation of the blue graph is g(x) = (x - 3)² + 1.

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Answer:

The slope is 5/2

Answer:

[tex]\huge\boxed{\sf D.}[/tex]

Step-by-step explanation:

If

Y is directly proportional to x

Then

Y ∝ x

Changing proportionality to equality

Y = k x

If k = 1 , then

Y = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

it's D

Step-by-step explanation:

Khan Academy

Answer:

Step-by-step explanation:

x     |  y

30  | 6

60  | 12

90  | 18

120 | 24

Answer:

2h + g

Step-by-step explanation:

Answer: a = 47.3;

              p = 0.65

Step-by-step explanation: A power function is of the form [tex]y=ax^{p}[/tex] and passes through points (2,5) and (3,81), i.e.:

[tex]5=a.2^{p}[/tex]

[tex]81=a.3^{p}[/tex]

To determine the two unknows, solve the system of equations:

[tex]log5=log(a.2^{p})[/tex]

[tex]log81=log(a.3^{p})[/tex]

Using multiplication and power rules:

[tex]log5=loga+plog2[/tex]

[tex]log81=loga+plog3[/tex]

Giving values to constants:

0.7=loga+0.3p

2=loga+0.5p

This system of equations can be solved by subtracting each other:

[tex]-1.3=-0.2p[/tex]

p = 0.65

Substituting p into one of the equations above:

[tex]loga+0.5(0.65)=2[/tex]

[tex]loga=1.675[/tex]

[tex]a=10^{1.675}[/tex]

a = 47.3

The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.

Answer:

Cannot prove as congruent

Step-by-step explanation:

AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.

Answer:

x=2 and y=6

Step-by-step explanation:

thee isn't any other way im sorry but there isn't here is a list:

1 nickel = $0.05 and 5 dimes =$0.50 = $0.55

2 nickels = $0.10 and 6 dimes = $0.60 = $0.70

3 nickels = $0.15 and 7 dimes = $0.75 = $0.85

4 nickels = $0.20 and 8 dimes = $0.80 = $1.00

5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15

so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part

Answer:

1.5

Step-by-step explanation:

Your answer is 1.5 have a good day

1. 88%

2. 20%

3. 65%

4. 4 questions incorrect

5. $75

Answer:

It would take her 90 minutes to run 10 miles.

Step-by-step explanation:

First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.