The sum of three numbers is 109. The second number is 4 times the first number and the third number is 8 less that the second number. What are the three numbers?

Answer:

Let the number of nickels be x

Let the number of pennies be y

Let the number of dimes be z

Now z=x+y

FIrst equation:

z+x+y=16

Subsittue for z:

x+y+x+y=16

y=8-x (subsitution)

Hope this helps :)

Step-by-step explanation:

Answer:

[tex] \boxed{\sf 3x + 10} [/tex]

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

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Answer:

3x^2 - 3x - 3

Step-by-step explanation:

Plug in the equations in place of the variables

First, subtract k(x) from h(x)

x^2+1-x-2  (combine like terms)

x^2 - x -1

Next, multiply the new equation by 3

3(x^2 - x - 1)     Use distributive property

= 3x^2 - 3x - 3

Step-by-step explanation:

[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]

Answer:

2

Step-by-step explanation:

I hope this helps you :)

Answer:

2

Step-by-step explanation:

Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.

Answer:

ok hold on ima do it step by step

Answer:

B) y=x+2; y=5

Step-by-step explanation:

The rules that define the graphed function are y = x + 2; y = 5

The function is a piecewise function

There are two lines on the graph.

The first line has the following points

(0,2) and (3,5)

Express 2 and 5 as a sum of 2

(0,0 + 2) and (3, 3 + 2)

This means that the y value is the sum of 2 and the x value.

So, we have:

y = x + 2

The other line has a constant value of 5 for all x values

So, we have:

y = 5

Hence, the rules that define the graphed function are y = x + 2; y = 5

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Answer:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4-5x^2-36=0[/tex]

Let's let u equal x² so:

[tex]u^2-5u-36=0[/tex]

Factor. We can use -9 and 4. So:

[tex]u^2+4u-9u-36=0[/tex]

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

[tex]u(u+4)-9(u+4)=0[/tex]

Grouping:

[tex](u-9)(u+4)=0[/tex]

Zero Product Property:

[tex]u-9=0 \text{ or } u+4=0[/tex]

On the left, add 9. On the right, subtract 4:

[tex]u=9\text{ or } u=-4[/tex]

Substitute back u:

[tex]x^2=9\text{ or } x^2=-4[/tex]

Take the square root:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

And we're done!

Our answer is the Second option.

Answer:

B). x = ±2i and x = ±3

Step-by-step explanation:

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

Answer:

k=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain is from x to x.

You can use a ruler to determine it:

Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.

When the ruler touch the graph there the x is the beginig of the domain.

Move along to the right. When the ruler touches end of graph there the x is end of the domain.

The filled dot means < >, and the empty dot means ( ).

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

Answer:

9/20

Step-by-step explanation:

Step 1:

1/4 + 1/5

Step 2:

5/20 + 4/20

Answer:

9/20

Hope This Helps :)

Answer

9/20

Step by Step

I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there

5/20+4/20=9/20

You have to turn the fractions denominator into the same number by finding the lowest common denominator.

Answer:

D.Water can cause rocks to break into sediments through mechanical weathering.

Answer:

39052 ends in 2, hence it is divisible by 2. But (3+9+0+5+2) = 19, which is not divisible by 3.

Answer:

Step-by-step explanation:

to check a number is divisible by 3. add all the numbers and check whether it is divisible by 3

=3+9+5+2

=19

so it is not divisible

Answer:

Uhhh just do all the process corectly :)

Answer:

See Explanation

Step-by-step explanation:

While multiplying exponents with the same bases, we add the exponents.

Formula:

[tex] \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\[/tex]

SOLUTION:

[tex] \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} [/tex]

Answer:

Step-by-step explanation:

H

Answer:

A is the real part and B is the imaginary part. i is an imaginary figure. b is how many imaginary figures there are, making it represent an imaginary part

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

3x - 4 = 2x + 1

Step 2: Solve for x

Subtract 2x on both sides: x - 4 = 1

Add 4 on both sides: x = 5

Answer:

x=5

Step-by-step explanation:

3x-4=2x+1----> you subtract 2x on both sides---->x-4=1 -----> then add 4 on both sides and you get---> x=5. Hope it helped.

Answer: 4

Step-by-step explanation:

Mean means to add up the values and divide it by the number of values there is so 9 + 1 + 8 + 3 + 2 + 1 = 24, then 24 / 6 is 4.

Answer:

√3

Step-by-step explanation:

(2√3)²+x²=(√15)²

(4*3)+x²=15

12+x²=15

x²=15-12

x²=3

x=√3

Answer:

C

Step-by-step explanation:

it's a complex polygon

Answer: BCF

Step-by-step explanation: