The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}. Mark this and return Save and Exit Next

Answer:

the price is 6.75

Step-by-step explanation:

you deduct 25 from 16 what gives you 12.00

then deduct 25 from 12that gives you 9

then deduct 25 from 9 gives you 6.75

Answer: D) [tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]

Step-by-step explanation:

Let 'm' represents the number of Mylar balloons  and 'l' represents the number of latex balloons.

Given : Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each.

i.e. cost of m Mylar balloons in dollars = 1.25 m

i.e. cost of l Latex balloons in dollars = 0.75 l

Then, the equations can be used to find the number of each type of balloon in a bunch of 18 balloons that costs $19 will be :-

[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]

Hence, the correct answer is Option D.[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]

The equations which can be used from the options given are :

(m + l) = 18

($1.25l + $0.75m) = $19

Cost per mylar balloon, m = $1.25

Cost per latex balloon, l = $0.75

Number of balloons in bunch = 18

Cost of bunch = $19

The cost can be expressed as :

(unit cost of each Ballon × number of each Ballon in a bunch) = total cost of bunch

($1.25l + $0.75m) = $19

Since the total Number of balloons in bunch = 18

And only mylar and latex balloons are present in the bunch ;

Then ;

(Number of mylar+number of latex) balloons = 18

(m + l) = 18

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Answer:

y=6/5x+13

Step-by-step explanation:

6y=-5x+16

Divide by 6

y=-5/6x + 8/3

Slope: 6/5 (opposite reciprocal)

7=-5(6/5)+b

7=-6+b

b=13

Answer:

Shade in the first three rectangles

Step-by-step explanation:

1/4 of 12 is 3. So u fill in three

Answer:

3 boxes

Step-by-step explanation:

you would divide 12 by 4 and get 3 so shade in 3 boxes

Answer: f) -7x -9= 12

Step-by-step explanation:

Step 1: Solve the equation. To solve the equation, add 9 to both sides. This is what you would have now. ( -7x = 21 )

Step 2: Now divide -7 from both sides. This is what you would have now.

( x= -3)

Answer:

1. -9       2. 160

3. 3.9

Step-by-step explanation:

I dd the assignment

The equation in standard form that represents the relationship between Fahrenheit (F) and Celsius (C) is 5F + (5/9)(F - 32) = 39.

In order to represent the relationship between Fahrenheit (F) and Celsius (C) in standard form, we can use the conversion formula:

C = (5/9)(F - 32)

Given the equation 5F + C = 39, we can substitute the value of C from the conversion formula into the equation:

5F + (5/9)(F - 32) = 39

Simplifying the equation further:

45F + 5(F - 32) = 351

45F + 5F - 160 = 351

Combine like terms:

50F - 160 = 351

Add 160 to both sides:

50F = 511

Divide both sides by 50:

F = 10.22

Therefore, the equation in standard form that represents the relationship between F (degrees Fahrenheit) and C (degrees Celsius) is 5F + (5/9)(F - 32) = 39.

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The complete question is here:

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C =  39°F = °C rounded to the nearest tenth of a degree

Freezing Temperatures (°)

Column A. F

1. -13

2. -4

3. 5

4. 14

5. 23

Column B. C

A. -25

B. -20

C. -15

D. -10

E. -5

Answer:

22.5 calories per oz.

Step-by-step explanation:

Simplify. Find the amount for 1 oz. Divide 450 with 20

450/20 = 22.5

22.5 calories per oz.

~

The population increase in the town is linear, and with a constant increase of 611 people per year, the population is projected to be 4855 in five years.

The population of a town described is increasing at a constant rate, therefore, this represents linear growth. Each year, the population increases by a fixed number, in this case, 611. This contrasts to exponential growth, where the population would increase by a fixed percentage.

To calculate the population in five years, we multiply the rate of increase (611) by the number of years (5) and add the starting population. So, 611*5 = 3055. Adding the current population of 1800 gives us 4855.

Therefore, the population of the town in five years will be 4855, given the linear growth rate holds steady.

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Answer:

The equation is q + 10 = 20

The solution is q = 10

Step-by-step explanation:

"sum" means an addition.

"sum of q and 10" means "q + 10".

"is" means "="

That means you have the equation

q + 10 = 20

To solve the equation, subtract 10 from both sides.

q + 10 - 10 = 20 - 10

q = 10

Answer:

The equation is q + 10 = 20

The solution is q = 10

Answer:

q+10 = 20

Solving for q,

q=10

Step-by-step explanation:

Sum means addition and is means equals

q+10 = 20

We can solve for q by subtracting 10 from each side

q+10-10 = 20-10

q=10

For this case we must find the following product:

[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]

We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]

So:

[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]

Dividing the numerator and denominator by "5":

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

Thus, the product is[tex]\frac {1} {3a}[/tex]

Answer:

[tex]\frac {1} {3a}[/tex]

Answer:

Option D is correct.

[tex]\frac{4}{5}[/tex] is the ratio form a proportion with [tex]\frac{16}{20}[/tex]

Step-by-step explanation:

Proportion states that the two fraction or ratios are equal.

i.e, [tex]\frac{a}{b} = \frac{c}{d}[/tex]

Given the ratio [tex]\frac{16}{20}[/tex]

To find the proportion of this ratio forms.

[tex]\frac{16}{20}[/tex]

Divide top and bottom by 4 , we have;

[tex]\frac{\frac{16}{4} }{\frac{20}{4} }[/tex]

Simplify:

[tex]\frac{4}{5}[/tex]

therefore, a ratio form a proportion with [tex]\frac{16}{20}[/tex] is, [tex]\frac{4}{5}[/tex]

Option D, 4/5 forms a proportion with 16:20.

To determine which ratio forms a proportion with 16:20, we must find a ratio equivalent to 16:20.

We start by simplifying 16:20. Both 16 and 20 can be divided by their greatest common divisor, which is 4:

16 ÷ 4 = 4

20 ÷ 4 = 5

This gives us the simplified ratio of 4:5. Now, we need to check which of the given options matches 4:5.

4/10: When simplified, 4:10 becomes 2:5, which is not equal to 4:5.

32/50: When simplified, 32:50 becomes 16:25, which is not equal to 4:5.

8/12: When simplified, 8:12 becomes 2:3, which is not equal to 4:5.

4/5: This ratio is already simplified and equal to 4:5.

Therefore, the ratio 4:5 forms a proportion with 16:20.

Correct Question

Which ratio forms a proportion with 16:20 ?      

A. 4/10    

B.  32/50  

C.  8/12    

D. 4/5

Answer:

A

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0 : a ≠ 0

obtain (5 + x)(5 - x) = 7 in this form by expanding the factors

25 - x ² = 7 ( subtract 7 from both sides )

18 - x² = 0 ( multiply through by - 1 )

x² - 18 = 0 ← in standard form

with a = 1, b= 0 and c = - 18 → A

Answer:

Hence final answer is [tex]-\frac{1}{216}[/tex].

Step-by-step explanation:

Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:

[tex]\left(-6\right)^{-3}[/tex]

So let's simplify that:

[tex]\left(-6\right)^{-3}[/tex]

Apply formula x^-m=1/x^m

[tex]=\frac{1}{\left(-6\right)^{+3}}[/tex]

[tex]=\frac{1}{\left(-6\right)^3}[/tex]

[tex]=\frac{1}{\left(-6\right)\left(-6\right)\left(-6\right)}[/tex]

[tex]=\frac{1}{-216}[/tex]

[tex]=-\frac{1}{216}[/tex]

Hence final answer is [tex]-\frac{1}{216}[/tex].

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

see below   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

A) 5000 - 2700 = 2300 points needed

B) 2700 + 400 = 3100

  the inequality would change to:

  5000 - 3100 = 1900 points needed

The student needs to accumulate an additional 2300 points to reach the 5000-point requirement for a gift card from the bank. They currently have 2700 points.

Calculating Points Needed for a Reward

To calculate how many more points a student needs to earn a gift card from the bank, we need to subtract the points the student already has from the required points for the gift card. The student currently has 2700 points and needs at least 5000 points in total. If we subtract the current points from the required points, we have:

Required points for the gift card: 5000 points

Current points: 2700 points

Points needed: 5000 points - 2700 points = 2300 points

The student needs an additional 2300 points to earn a gift card from the bank.

While accumulating points, a student might consider if they could benefit from a very convenient credit card that offers a free Rewards program, unsurpassed card protection, free PhotoCard, free Purchase Cover, personal customer service, and wide acceptance. Such a card is not only accepted at over 400,000 locations in Australia but also more than 14 million establishments worldwide and offers cash access at over 341,000 ATMs.

Answer:

(1,7)

Step-by-step explanation:

You are given the system of two equations

[tex]\left\{\begin{array}{l}x-y=-6\\5x+3y=24\end{array}\right..[/tex]

Each equation represents straight line in the diagram. The point of intersection between these two lines represents the solution of the system of two equations. From the diagram  the best approximation of the solution of the system rounded to the nearest whole number is (1,7).

Or you can solve this system algebraically. Express x from the first equation

[tex]x=y-6[/tex]

and substitute it into the second equation:

[tex]5(y-6)+3y=24,\\ \\5y-30+3y=24,\\ \\8y=54,\\ \\y=\dfrac{54}{8}=\dfrac{27}{4}=6.75\approx 7.[/tex]

Then

[tex]x=6.75-6=0.75\approx 1.[/tex]

Answer:

24 photos per day

Step-by-step explanation:

Set up a chart.

x      y

1       24

2       48

3       72

4       96

5       120

6        144

The change between y is =24

The change in x is +1

change in y

------------------

change in x

24

----     =

1

24 photos per day

Answer:

1.5 gallons

Step-by-step explanation:

$289 is better because its cheaper per mile

x = number of months

7*x = 7 times the number of months

7*x = total cost if you ignore the $100 fee

7x+100 = total cost with the fee of $100 included

y = total cost

y = 7x+100

Final Answer: y = 7x+100

note: the slope is 7 and the y intercept is 100

The simplified expression of the expression (0.07b³m + 7) ÷ (15bm⁻¹) is (0.07b³m + 7) ÷ (15bm⁻¹)

To simplify the expression, we have

The GCD of the numerator and denominator is 1.

So, the simplified expression is:

(0.07b³m + 7) ÷ (15bm⁻¹) = (0.07b³m + 7) ÷ (15bm⁻¹)

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Answer:

see explanation

Step-by-step explanation:

the n th term of an arithmetic sequence is

[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d

given [tex]t_{1}[/tex] = 3 and [tex]t_{2}[/tex] = 10, then

[tex]t_{2}[/tex] = 3 + d = 10 ⇒ d = 10 - 3 = 7

[tex]t_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ]

                        = [tex]\frac{n}{2}[/tex][(2 × 3) + 7(n - 1) ]

                        = [tex]\frac{n}{2}[/tex](6 + 7n - 7 )

                        = [tex]\frac{n}{2}[/tex](7n - 1)

                        = [tex]\frac{7}{2}[/tex] n² - [tex]\frac{1}{2}[/tex] n

Answer:

I believe than answer is A make sure tho im only in 6 th grade

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

This will give you the responses of the functions.

The x values arent the responses.

Answer,

= 4

Explanation,

So, basicly they want you to put the numbers (1/5) & (15) in place of the letters (c) & (d). Let's do that,

5 * 1/5 + 1/5 * 15

So, now that we have replaced the letters with numbers we simply simplify,

5 * 1/5 = 1

1/5 * 15 = 3

3 + 1 = 4

Hope this helps :-)

Answer:

Correct choice is C

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Thus, if a, b and c are triangles sides, then

[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]

A. Consider lengths a=5, b=10 and c=4. Since

[tex]a+c=5+4=9<10=b,[/tex]

these side lengths couldn't create triangle.

B. Consider lengths a=5, b=7 and c=13. Since

[tex]a+b=5+7=12<13=c,[/tex]

these side lengths couldn't create triangle.

C. Consider lengths a=7, b=9 and c=3. Since

[tex]a+b=7+9=16>3=c,\\ \\a+c=7+3=10>9=b,\\ \\b+c=9+3=12>7=a.[/tex]

These side lengths could form a triangle.

D. Consider lengths a=10, b=4 and c=5. Since

[tex]b+c=4+5=9<10=a,[/tex]

these side lengths couldn't create triangle.

Answer:

C?

Step-by-step explanation:

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have m = 4/5 and the point (7, -9). Substitute:

[tex]y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}[/tex]

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Hence, the option 2 is the correct option.

The line passes through the point (7,-9).

The slope of the line is 4/5.

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.

The standard form of the equation of the line can be given as,

[tex](y-y_1)=m (x-x_1)[/tex]

Here m is the slope of the line.

Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,

[tex](y-y_1)=m (x-x_1)[/tex]

Put the values,

[tex](y-7)=\dfrac{4}{5} (x-(-9))[/tex]

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Thus the option 2 is the correct option.

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Answer: 7 and 8

Step-by-step explanation:

Let x represent the first number, then x + 1 is the other number.

(x)² + (x + 1)² = 113

x²  +  x² + 2x + 1 = 113    expanded (x + 1)²

2x² + 2x + 1 = 113          added like terms

2x² + 2x - 112 = 0        subtracted 113 from both sides

x² + x - 56 = 0           divided both sides by 2

(x + 8) (x - 7) = 0        factored polynomial

x + 8 = 0   x - 7 = 0    applied zero product property

x = -8     x = 7            solved for x

  ↓

not valid since the restriction is that x > 0 (a positive number)

So, x = 7     and     x + 1 = (7) + 1   = 8