What is the y-intercept of the function, y = 3x -5?

Answer:

The two bowling alleys cost the same when there are 10 people in the group.

Step-by-step explanation:

Bustlin' Bowling first:

$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.

Grand Entertainment next:

$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.

So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.

In variables, it's asking when b = g, what is x?

Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.

I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:

35 + 2x = 20 + 3.5x

Subtract 2x from both sides.

35 = 20 + 3.5x - 2x

35 = 20 + 1.5x

Subtract 20 from both sides.

35 - 20 = 1.5x

15 = 1.5x

Divide both sides by 1.5.

15/1.5 = 1.5x/1.5

10 = x

Sooo, the answer is 10 people.

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Answer:

4(x + 1)= -3x - 10

on the bracket 4( x +1)

4x + 4 = -3x - 10

collect like terms

4x + 3x = -10 - 4

7x = -14

divide both sides by 7

x = -2

Answer:

(x - 5)² = 17

Step-by-step explanation:

Given

0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )

x² - 10x + 8 = 0 ( subtract 8 from both sides )

x² - 10x = - 8

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 8 + 25

(x - 5)² = 17

0.10x + 0.25(11 - x) = 1.70

It has the correct values

Answer:

answer is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

f(x)=y

basically this is just showing the y values

Answer:

the answer is - 3/2

Step-by-step explanation:

Step-by-step explanation:

its a photo hope this will help you

Step-by-step explanation:

a D&C show that m is the midpoint

The required figures that show the mid-points are (c) and (d).

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.

Thus, the required figures that show the mid-points are (c) and (d).

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Answer:

0.00128

Step-by-step explanation:

4

3125

is already in the simplest form. It can be written as 0.00128 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 4 and 3125 is 1

Divide both the numerator and denominator by the GCD

4 ÷ 1

3125 ÷ 1

Reduced fraction:  

4

3125

Therefore, 4/3125 simplified to lowest terms is 4/3125.

Answer:

Step-by-step explanation:

True:

Any letter can be used as a variable (yes)

Variables are used for numbers that haven't been defined yet (maybe)

All the rest are false

Hope this helps!

The true statements about variables are:

ii) Any letter can be used as a variable.

v) Variables are used for numbers that haven't been defined yet.

Explanation:

i) This statement is not true. Equations can involve multiple variables. For example, the equation "x + y = 10" involves two variables, x and y.

ii) This statement is true. In mathematics, variables are represented by letters, and any letter can be used to represent a variable. Common choices include x, y, z, a, b, c, etc.

iii) This statement is not true. While x is commonly used as a variable in many mathematical contexts, it is not the only letter that can be used. As mentioned earlier, any letter can be used as a variable.

iv) This statement is not true. Variables are specifically used in mathematical operations. They allow us to represent unknown quantities or values that can change. Mathematical operations involving variables are fundamental in algebra and many other branches of mathematics.

v) This statement is true. One of the primary purposes of variables is to represent numbers that haven't been defined yet. Variables act as placeholders for unknown values, and they allow us to generalize mathematical relationships and solve equations. Once we assign specific values to variables, the equations or expressions can be evaluated or solved.

In summary, variables are flexible symbols that can represent unknown or changing values in mathematical equations and expressions. They can be any letter and are essential for performing mathematical operations and solving problems involving unknown quantities.

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The value of the given exponent is [tex]\frac{5}{2}[/tex]

Given:

The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]

To find:

The value of a given exponent

Solution:

[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]

Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]

[tex](\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\[/tex]

Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]

[tex]=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\[/tex]

Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]

[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]

The value of the given exponent is [tex]\frac{5}{2}[/tex].

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Answer:

Maria bicycled 21 miles per day.

Step-by-step explanation:

294/14=21

Hope this helps!

Answer: 3 would be a adjacent angle

Step-by-step explanation:

They don’t overlap

Answer:

56.70

Step-by-step explanation:

Answer:

4.08, 480, 4080, 4800

Step-by-step explanation:

Answer:

C = R - P

Step-by-step explanation:

Step 1: Write equation

P = R - C

Step 2: Subtract R on both sides

P - R = -C

Step 3: Divide both sides by -1

-P + R = C

Step 4: Rewrite

C = R - P

Answer:

C=R-P

Step-by-step explanation:

First move your terms

C+P=R then move variable to the right-hand side

C=R-P is your solution

Answer:

it will be $80.00 and your saving $20.00

Step-by-step explanation:

Answer:

it not

Step-by-step explanation:

Answer:K= -4

Step-by-step explanation:

Answer:

$2.86 is what he got back

Answer:

Step-by-step explanation:

4 (x -2 ) - 3 = 7x

expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x

Answer:

I know im late but i belive i need more information

Step-by-step explanation:

Answer:

-143

Step-by-step explanation:

We have to substitute 4 into x.

g(4) = -3(4)^2 + 2(4) - 7

g(4) = -12^2 + 8 - 7

g(4) = -12^2 + 1

-144 + 1

-143

-47

Step-by-step explanation:

= -3(4)^2 +2(4) -7

= (-3×16) +8 - 7

= -48+8-7

= -40-7

= -47

Answer:

it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way

Step-by-step explanation:

Answer:

6 steps forward and 6 steps backward

Step-by-step explanation:

If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.

Since 6 = 6, this answer is correct.

The bear would have to take the same amount of steps forward and backwards.

Answer:

hi did you find the answer ? if so can you please help me ?

Step-by-step explanation:

Answer:

Ruby function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume as a dependent variable

Step-by-step explanation:

I got a 100%

Answer:

the like terms here are the x and the + symbol.

Step-by-step explanation:

If a part of the equation appears more than once that is a like term.

Answer:

True

Step-by-step explanation:

Like terms like 4x-3x the x term. is a like term

6-4x can be subtracted because they aren't the same.

High Hopes^^

Barry-

Answer:

i believe this false but im not positive

Answer:

I'm late but the answer to the question on the left is 21 and the answer to the question on the right is 3.

Step-by-step explanation:

Remember that you have to complete the equations in order of PEMDAS.

19-3×4÷(-6)

For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21

6(-8) / -12 - 1

For this equation you would do 6(-8) first (which equals -48) then divide that by -12 (which equals 4) and finally subtract 1 from that 4. 4-1=3

Answer:

the answer is 10.16 Hope This Helps!!!

Step-by-step explanation:

because 7.62+2.54= 10.16

Answer:

10.16

Step-by-step explanation:

Answer:

-10 C

Step-by-step explanation:

It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.

Answer:

temperature decreased

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