Christie has $200 in her bank account. Every month, she deposits $20 into her account. The equation of the line that models the amount of money, y, in her account x years from now is y = x=

well, we know is a quadratic, namely of degree 2, so it has two solutions and namely two factors, and whose only zero is 7, well, we can do that by giving that only zero a multiplicity of 2, so we get two of the same zero.

[tex]\begin{cases} x=7\implies &x-7=0\\ x=7\implies &x-7=0 \end{cases}\qquad \implies \qquad \begin{array}{llll} \stackrel{\textit{multiplicity of 2}}{(x-7)(x-7)}=\stackrel{0}{y} \\\\\\ x^2-14x+49=y \end{array}[/tex]

The quadratic function would be x² + 14x + 49 f whose only zero is 7.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The standard quadratic function is given by ax² + b x + c = 0.

We know that is a quadratic of degree 2, so it has two solutions and two components, and its only zero is 7,

⇒ x = 7 and  x = 7

⇒ x - 7 and  x - 7

Thus, we can accomplish that by multiplying that singular zero by two, so we obtain two of the same zero.

⇒ (x - 7)(x - 7)

⇒ (x - 7)²

⇒ x² + 7²+ 2 × 7 × x

⇒ x² + 49 + 14x

⇒ x² + 14x + 49

Therefore, the quadratic function would be x² + 14x + 49.

Learn more about the quadratic function here:

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Answer:

0.67

Step-by-step explanation:

m is the slope

The formula is m=[tex]\frac{y_{2}-y_1}{x_2-x_1}[/tex]

m= [tex]\frac{4-2}{6-3}[/tex]

m= [tex]\frac{2}{3}[/tex]

2÷3=0.66666...≈0.67

This question was not correctly written

Correct Question

A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 84 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover? Describe the contents of each bag.

Answer:

What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover?

28 identical dental care bags

Describe the contents of each bag.

2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Step-by-step explanation:

We solve for this using greatest common factor method

Step 1

Find the factors of 56, 84 and 112

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The greatest common factor amongst them is = 28

Hence, the greatest number of identical dental care bags the dentist can make with the least amount of items leftover is 28 bags.

Describe the contents of each bag.

Each bag should contain 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes.

Answer: First option

Step-by-step explanation:

Answer:

0.5, 80%

Step-by-step explanation:

Answer:

0.5, 80%

Step-by-step explanation:

Lauren's net pay after deductions will be equal to $623.52

The net pay of the Lauren will be calculated as

The gross pay is = $ 765

The Federal tax = $68

Social security tax on gross pay 6.2%=   [tex]SST=765\times 0.062=47.43[/tex]

Medicare tax on gross pay 1.45%= [tex]765\times 0.0145=11.09[/tex]

State tax on federal tax holdings 22% =[tex]68\times 0.22=14.96[/tex]

Now the net pay will be

[tex]=765-68-47.43-11.09-14.96=623.52[/tex]

Thus Lauren's net pay after deductions will be equal to $623.52

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Step-by-step explanation:

This is geogebra app which graph the equations...

I graphed the equation for you...

Answer:

420

Step-by-step explanation:

Let x = number of $40 tickets.

Let y = number of $60 tickets.

x + y = 700

40x + 60y = 33600

-40x - 40y = -28000

20y = 5600

y = 280

x + y = 700

x + 280 = 700

x = 420

Answer: 420 $40 tickets were sold

Answer:

not possible

Step-by-step explanation:

the two congruent sides do not include the angle in between them, which makes the rule that makes them congruent SSA, which is a rule that doesn’t not exist. Ur welcome :)

Answer: See below for totals:

Step-by-step explanation:

P(blue and red) = [tex]\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}[/tex]

P(yellow and green) = [tex]\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}[/tex]

P(blue or yellow, green) = [tex]\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}[/tex]

P(green and blue and red) =​[tex]\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}[/tex]

Hope this helps!

Answer:

x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Step-by-step explanation:

Let x = number of miles traveled on Monday

Let y = number of miles traveled on Tuesday

Let z = number of miles traveled on Wednesday

Given:

⇒ y = 2x - 5

Given:

⇒ z = x² + 40

Given:

⇒ x + y + z = 1024

Substitute  y = 2x - 5  and  z = x² + 40  into x + y + z = 1024:

⇒ x + 2x - 5 + x² + 40 = 1024

⇒ x² + 3x + 35 = 1024

⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Answer:

First, let's set up the equation

· We know the least total he's got in one month is $124.92

· In that one month, he was charged an additional $30 dollar fee.

· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').

It would look like this;

30 + 0.07m = 124.92

where $30 is the additional fee

$0.07 is the money he is charged per unknown minutes otherwise known as 'm'

$124.92 is the total of that whole month (which has been the least amount of money he used)

So now we solve for m:

30 + 0.07m = 124.92

-30                   -30(get rid of any constants first by performing the inverse operation of addition, subtraction)

0.07m = 94.92

/0.07     /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)

m = 1,356 minutes

Answer:

[tex]600(1.08)^x[/tex]

Step-by-step explanation:

you would plug in the amount of months for x, not sure what you are really looking for? but 12 months would be [tex]600(1.08)^12=1510.90[/tex]

not sure why the 12 looks weird, but that is to the power of 12.

Answer:

13

Step-by-step explanation:

6+4=10

10+3

13

Answer:

the answer is 103

Step-by-step explanation:

(6+4)+3+30(3)

(10)+3+90

103

Answer:

8/12 and 4/12

Step-by-step explanation:

simplified to 2/6 and 1/6

Answer:

B.) 5%

Step-by-step explanation:

You'll need to multiply 0.05 by 100. Since 100 = 1, we are only multiplying by 1 and not changing the value of our number.

0.05 × 100 = 5

5/100 is 5 over 100 and means 5 per 100. 5 "per 100" means 5 "percent" or 5%

Therefore, 0.05 = 5%

I hope this helps! ^-^

Answer:

Step-by-step explanation:

p = k / sqrt(q)

The first job is to find k.

p = 12

q = 36

Solution for k

12 = k / sqrt(36)

sqrt(36) = +/- 6

Multiply both sides by +/-6

12 * +/- 6 = k

k = +/- 72

Solution for q = 16

p = +/-72/ sqrt(16)

p  = +/- 72 / sqrt(16)

p = +/- 72 / +/-4

p = 18

Answer:

5

Step-by-step explanation:

4^2 +3^2 = 5^2

Answer:

sqrt([4 * 4] + [3 * 3]) = 5

Step-by-step explanation:

Fill in the parameters for the Pythagorean Theorem and solve it.

Answer:

true

Step-by-step explanation:

example: $10 for 10 chocolate

10.00÷10=1.00

Answer:

What is a appropriately

What is a Procedure

What is a Enthusiasm

What is a Conflict

What is a Technique

What is a Obtain

What is a conflict management

.... itz wrong

Answer:

[tex]12s-120[/tex]

Step-by-step explanation:

Given the following question:

[tex]12(s-10)[/tex]

To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.

[tex]12(s-10)[/tex]
[tex]12\timess=12s[/tex]
[tex]12s-10\times12[/tex]
[tex]10\times12=120[/tex]
[tex]12s-120[/tex]

Your answer is "12s - 120."

Hope this helps.

Answer:

it's giving B.

I can really explain why but it's giving B 5/6 is greater than da amount..

Answer:

Vertex is (-1/4, -81/8)

Step-by-step explanation:

Does that help any?

Answer:

Don't Understand.

Step-by-step explanation:

Need more Information.

Answer:

A

Step-by-step explanation:

Forget the number line for a moment. It seems to be confusing you. Just get the answer.

-1/2 = - 2/4

5/4 = 5/4    There's nothing more you can do to this that's constructive.

Sum = (-2 + 5 ) / 4

Sum = 3/4

Now which like gives that result? It's A isn't it?

Answer:

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

First, write your equation with 8.5 substituted for y: 8.5= -3x +2.5

Next, subtract 2.5 from both sides to simplify the equation: 6= -3x

After that, divide both sides by -3 to get x by itself: -2 = x

So, when y=8.5, x=-2.

Answer:

I think you have to draw a circle then draw a line that goes parralel to one tiny part of the circle. this ensures it only touches the circle at one place. make sure the line is straight too!