Each child in the Martin family decided to save money for the family vacation.

Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.


Which person would have the most money left for the vacation?

Answer:

(x-6)(x+5)^2 - 50

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:

[tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant that ensures the function continues to negative infinity and positive infinity.

To find the value of k, we can use one of the intercepts, say (5, 0):

0 = k / (5² - 25)

0 = k / 0

This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.

For example, let's choose k = 1:

[tex]f(x) = 1 / (x^2 - 25)[/tex]

This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.

Thus,

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

Learn more about functions here:

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Answer:

[tex]1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ [/tex]

Step-by-step explanation:

[tex]1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ [/tex]

[tex]2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ [/tex]

[tex]3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ [/tex]

[tex]4. \: \: \: m = {75}^{o} (opposite \: angles)[/tex]

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

Answer:

D

Step-by-step explanation:

Answer:

I have a test on thursday toooooooo

Step-by-step explanation:

That's all I got hope it helps

Answer:

[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]

Step-by-step explanation:

[tex]4w^2+9w=-2[/tex]

[tex]4w^2+9w+2=0[/tex]

[tex]w^2+9w+8=0[/tex]

[tex](w+1)(w+8)=0[/tex]

[tex](4w+1)(w+2)=0[/tex]

[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]

Answer:

It will stay at x + 8

Step-by-step explanation:

Answer:

Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]

Step-by-step explanation:

[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]

X = 4 – 1 = 3

Y = 4 – 2 = 2

[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

When x=0, y = 1.3333333333333

When y=0, x = -2

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

Answer:

82%

Step-by-step explanation:

percents are out of 100, so its just multiplied by two

Answer:

Step-by-step explanation:

x = 1 - 1

Answer:

3

Step-by-step explanation:

3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?

equation is

[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]

Answer:

1, It has a definite volume but no definite shape.

Step-by-step explanation:

Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.

Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23  Original equation

(8x+3)<23   [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 >  -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

Answer:

So, multiply 120 by 70 cm for the area which is 8,400. Divide that by 25 cm which would be 336. That would be your final answer. (A tip for these problems is to draw it because it makes it easier sometimes.)

Thanks Mark As Brainlist

Answer:

y = -4x

Step-by-step explanation:

Subtract 8x both sides

2y = 0 + (-8x)

Divide by 2 both sides

y = -4x

Answer:

Isosceles triangle.

Step-by-step explanation:

Answer:

Pronator??

Step-by-step explanation:

Answer:

12

2

answer

hope it helps

        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

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There i hope it help

Stay safe and study hard

Answer:

Let's apply the quadratic formula:

⇒

x

=

−

4

±

√

4

2

−

4

(

2

)

(

−

30

)

2

(

2

)

⇒

x

=

−

4

±

√

16

+

240

4

⇒

x

=

−

4

±

√

256

4

⇒

x

=

−

4

±

16

4

⇒

x

=

−

1

±

4

⇒

x

=

−

5

,

3

Therefore, the solutions to the equation are

x

=

−

5

and

x

=

3

.

.

Step-by-step explanation:

Explanation:

All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.

2

x

2

+

4

x

−

30

=

0

x

2

+

2

x

−

15

=

0

Try to factor before we use loner methods of the quadratic formula or completing the square.

Find factors of 15 which subtract (because of -15) to give 2.

The signs will be different (because of -15), there must be more positives. (because of +2)

5 and 3 will work!

5

×

3

=

15

and

5

−

3

=

2

(

x

+

5

)

(

x

−

3

)

=

0

Putting each factor equal to 0 gives the solutions:

x

=

−

5

or

x

=

3

Answer:

(x+3)(x-5)

Step-by-step explanation:

2x²-4x-30 = 0

devide by 2

; x²-2x-15 = 0

(x+3)(x-5) = 0

Answer:

Hiya There!!!

_________________________

Isolate the variable by dividing each side by factors that don't contain the variable.

x =  1

_________________________

“The harder you fall, the heavier your heart; the heavier your heart, the stronger you climb; the stronger you climb, the higher your pedestal.”

― Criss Jami, Killosophy

_________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

Answer:

54 cm

Step-by-step explanation: