Lena bought new inline skates for $44.99. The sales tax was $4.13. How much did Lena spend in all for her new inline skates?

Answer:

Option A

Step-by-step explanation:

Just substitute each value of x in the graph to find the correct function.

When be graph the functions given, we find that option A is correct.

To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.

Using the graph,

For x < = -2, y = 5.

For -2 < x < 1, the function is a polynomial.

We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]

The polynomial must have the point (0,-5) on it.

For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.

Hence, it is the correct option.

For x >= 1,

Using graph, we see that when y = 0, x lies between 3 and 4.

For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.

For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.

Learn more about graphing a function here

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Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )

Step-by-step explanation:

Subtract the numbers

9

(

5

−

3

)

+

9

9({\color{#c92786}{5-3}})+9v

9(5−3)+9v

9

(

2

)

+

9

9({\color{#c92786}{2}})+9v

9(2)+9v

2

Multiply the numbers

9

⋅

2

+

9

{\color{#c92786}{9}} \cdot {\color{#c92786}{2}}+9v

9⋅2+9v

1

8

+

9

{\color{#c92786}{18}}+9v

18+9v

3

Rearrange terms

1

8

+

9

{\color{#c92786}{18+9v}}

18+9v

9

+

1

8

{\color{#c92786}{9v+18}}

9v+18

Solution

9

+

1

8

Answer:

the answer is 22

Step-by-step explanation:

hoped I helped! i had messed up the first time lol

Answer:

option 1

Step-by-step explanation:

Option 1 . the value after 20 years can be determined using this formula

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

5000 x (1.25)^20 = $433,680.87

Option 2 = 5,000 x 20 = $100,0000

Option 1 has a higher value in 20 years

Answer:

Exact form:

-165/16

Decimal Form:

-10.3125

Mixed number Form:

-10 5/16

Answer:

-165/16

Step-by-step explanation:

= -5(2 1/16)

= -5(33/16)

= -165/16

Answer:

Step-by-step explanation:

Based on the given, we have equations:

Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:

The cost per unit of gas is $0.15

Answer:

9/10

Step-by-step explanation:

Answer:

3 glasses of milk will give you 9/10 of the recommended amount of calcium per day!

Step-by-step explanation:

Firstly, Let's identify the amount per day as show by the problem that is 3/10.

In simple terms, the question requires us to find the amount of calcium 3 glasses would provide.

Well, if one glass provides 3/10.

To find the value of three glasses, we need to multiply!

[tex]\frac{3}{10}*3\\\frac{3}{10}*\frac{3}{1}[/tex]

The amount of calcium three days would provide is [tex]9/10[/tex].

Hope it helps! :)

Answer:

Let x=a number

2x-3=2+3x

Answer:

D) 11,13,22

Step-by-step explanation:

If 3y>27, then y>9. Therefore, D is the correct answer (C is not correct BTW because 9 isn't included in the inequality).

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Answer:

a = -3

b = 2

c = -15

Step-by-step explanation:

Answer:

-5-7×4=-5-28=-33

........

Answer: -33

Step-by-step explanation:

1. -5 - 7(4)

2. -5 - 28

3. -33

Answer:

report me

Step-by-step explanation:

Answer:

The equation of the line is;

y + 4 = 3(x + 4)

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the equation, let us look at the given intercepts

We have the intercepts at the point (0,5) and (-2,-1)

We have the slope of the line as follows;

m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3

So we have the equation as;

y = 3x + b

recall, we have the y-intercept as 5

so the complete equation is;

y = 3x + 5

Now, we can rewrite this as;

y+ 4 = 3(x + 3)

Answer:

Step-by-step explanation:

Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1.  This is a quadratic function.  Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.

Answer:

A. 22°

E. 15

I. 39°

F. 71°

C. 25.6

H.12.9

K.55°

Step by Step Explanation:

1. [tex]cos^{-1}(52/56)=21.7867893 or 22[/tex] degrees

2. 22sin43=15

3. [tex]tan^{-1}(34/42) or 38.990999404 or 39 degrees[/tex]

4. [tex]sin^{-1}(51/54)=70.81186355 or 71 degrees[/tex]

5. 20/(tan38)=25.58883264 or 25.6

6. 20sin40=12.85575219 or 12.9

7. [tex]cos^{-1}(26/45)=54.70560532 or55 degrees[/tex]

Hope that helps!:)

Answer:

x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.

Step-by-step explanation:

[tex]x^{2} +12x + 20 = (x + 2)(x + 10)[/tex]

The dimensions of the fountain is x + 2 and x + 10

Adding the 5-ft walkway, we get x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.

Answer:

y = 7x + 41

Step-by-step explanation:

the y-intercept appears to be about 40 and the only option with this intercept is the first one

Answer:

A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 34

2.12

3. 45

Answer: 88

Step-by-step explanation:

Answer:

4 or 7

Step-by-step explanation:

chase has a long situation

Answer:

15x⁴

Step-by-step explanation:

Square root of 225 is 15.

Answer:

B. 84 students

Step-by-step explanation:

12% of students

700 students in all

700 * 0.12 = 84

Answer:

D. Causation implies correlation

Answer:

B. is the answer

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

B) 5

Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360

Combine like terms 70x+10=360

Additive inverse -10 from both sides, 70x= 350

Divide both side by 70 division Property of Equality x=5.

Check your answer by substituting 5 back into original solution!

Step-by-step explanation:

Answer:

a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.

Answer:

80 students

Step-by-step explanation:

Ratios:

[tex]\frac{12}{x} =\frac{15}{100} \\\\15x=1200\\x=80[/tex]

Double check:

80(0.15) = 12