when simplified, which of the following expressions has a coefficent of -3?

A) -2m + 5m
B) 2m + 5m
C) 5m - 2m
D) -5m + 2m

Can i get an explanation too?​

Answer:

2.76

Step-by-step explanation:

you only round up if it is a five or higher

Answer:

Step-by-step explanation:

The thousandth digit is a 4. When you round it, it is under 5 so the 4 is dropped and the result is 2.76

Answer:  It's 81

Step-by-step explanation:

So, if B= 9 then it's 9^2 which is 9 x 9 = 81

Hope my answer has helped you and if not i'm sorry.

We have been given the following functions:

f(x) = 3x - 9

g(x) = x

(G*f) means to multiply the function of g and f together:

x(3x - 9)

3x^2 - 9x

Now multiply the product of the solution above by 5:

5(3x^2 - 9x)

15x^2 - 45x

So,  (g*f)(5) = 15x^2 - 45x

Answer:

6

Step-by-step explanation:

Substitute x = 5 into f(x) then substitute the value obtained into g(x)

f(5) = (3 × 5) - 9 = 15 - 9 = 6, then

g(6) = 6

Hence (g ￮ f)(5) = 6

Answer:

D. Place the compass on point E and draw a small arc below the line and beneath point R.

Step-by-step explanation:

According, to given construction we need to draw the a perpendicular on a line m from a point R above the line.

According to given figure, we have given a line m and R is a point above the line then they placed the compass on point R and draw the an arc by cutting line m at the points E and F. In next step we need to  

D. Place the compass on point E and draw a small arc below the line and beneath point R.

ANSWER

[tex]^8P_4=1680[/tex]

EXPLANATION

The given permutation is

[tex]^8P_4.[/tex]

Recall the formula for permutation

[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

We substitute n=8, and r=4 to obtain:

[tex]^8P_4=\frac{8!}{(8-4)!}[/tex]

[tex]^8P_4=\frac{8!}{4!}[/tex]

Recall the factorial expansion

[tex]n! = n \times (n - 1) \times (n - 2)...3 \times 2 \times 1[/tex]

We apply this expansion to get:

[tex]^8P_4=\frac{8 \times 7 \times 6 \times 5 \times 4!}{4!}[/tex]

[tex]^8P_4=8 \times 7 \times 6 \times 5[/tex]

[tex]^8P_4=1680[/tex]

Answer:3g+20 on edg

Step-by-step explanation:

Since the guests equals g and 3 cups per guest it would be 3g+ extra 20 so the answer would be 3g+20

Answer: [tex]\frac{y-4}{6}[/tex]

Step-by-step explanation:

To find the quotient asked, you need to make the division indicated.

You can follow these steps:

1. Find the reciprocal of [tex]\frac{6}{y}[/tex]. You need to turn it upside down. Then you get that the recriprocal is:

[tex]\frac{y}{6}[/tex]

2. Now you must multiply [tex]\frac{y-4}{y}[/tex] by  [tex]\frac{y}{6}[/tex]:

[tex](\frac{y-4}{y})(\frac{y}{6})=\frac{(y-4)(y)}{(y)(6)}[/tex]

3. Simplifying, you get that the quotient is:

[tex]=\frac{y-4}{6}[/tex]

Answer:

7 : 8

Step-by-step explanation:

Given 2 similar figures with circumference ratio a : b

Then the ratio of the corresponding areas = a² : b²

Here the ratio of areas = 49 : 64

Taking the square root of both gives ratio of circumference

ratio of circumference = [tex]\sqrt{49}[/tex] : [tex]\sqrt{64}[/tex] = 7 : 8

Answer:

Step-by-step explanation:

Mark the given points in the coordinate system (look at the picture).

Find the point D.

Other solutions:

D(-5, 8)

D(7, -2)

Look at the other pictures

If you want calculate it, then:

The vectors AB and DC are congruent and the vectors BC and AD are congruents too.

If a vector ,< a, b > is congruent to a vector < c, d >, then a = c and b = d.

The formula of coordinates of the vetror:

< x₂ - x₁, y₂ - y₁ >

We have A(-2, 4), B(1, 3), C(4, -1) and D(x, y). Substitute:

vector AB = < 1 - (-2), 3 - 4 > = < 3, -1 >

vector DC = < 4 - x, -1 - y >

vector BC = < 4 - 1, -1 - 3 > = < 3, -4 >

vector AD = < x - (-2), y - 4 > = < x + 2, y - 4 >

Therefore we have the equations:

AB = DC ⇒ 4 - x = 3 and -1 - y = -1 ⇒ x = 1 and y = 0

BC = AD ⇒ x + 2 = 3 and y - 4 = -4 ⇒ x = 1 and y = 0

Step-by-step explanation:

If (p, 0) and (q, 0) are x-intercepts, then p and q are zeros.

The intercept form of an equation of a quadratic function:

y = a(x - p)(x - q)

p, q - x-intercepts (zeros).

We have the equation: y = 2(x + 4)(x - 6) = 2(x - (-4))(x - 6)

Therefore the x-intercepts are -4 and 6.

The zeros are -4 and 6 too.

Answer:

[tex]f(x)=(x-5)^{2}+19[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-10x+44[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]f(x)-44=x^{2}-10x[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]f(x)-44+25=x^{2}-10x+25[/tex]

[tex]f(x)-19=x^{2}-10x+25[/tex]

Rewrite as perfect squares

[tex]f(x)-19=(x-5)^{2}[/tex]

[tex]f(x)=(x-5)^{2}+19[/tex]

Answer:

Ste-by-step explanation

400/500 = 0.8 x 35.000 = 28.000

28.000 homes will have wifi access.

Answer:

Estimated .70%2A25000 = 17,500 homes in the city will have wifi access

Step-by-step explanation:

Answer:

Inverse of y=x^3 is f^-1(x) = ∛x

Step-by-step explanation:

We need to find the inverse of y=x^3

Step 1:

Interchange the variables:

x= y^3

Step 2: Now solve to find the value of y

=> y^3 = x

taking cube root on both sides of the equation

∛y^3 = ∛x

y=∛x

Step 3: Replace y with f^-1(x)

f^-1(x) = ∛x

So inverse of y=x^3 is f^-1(x) = ∛x

Answer:

Step-by-step explanation:

If from a table a ratio

[tex]\dfrac{y_2-y1}{x_2-x_1}[/tex]

is constant, then a table represents a linear function.[tex]\begin{array}{c|c}x&y\\1&-2\\2&-10\\3&-18\\4&-26\end{array}\\\\\dfrac{-10-(-2)}{2-1}=\dfrac{-8}{1}=-8\\\dfrac{-18-(-10)}{3-2}=\dfrac{-8}{1}=-8\\\dfrac{-26-(-18)}{4-3}=\dfrac{-8}{1}=-8[/tex]

[tex]\begin{array}{c|c}x&y\\1&-2\\2&-4\\3&-8\\4&-16\end{array}\\\\\dfrac{-4-(-2)}{2-1}=\dfrac{-2}{1}=-2\\\dfrac{-8-(-4)}{3-2}=\dfrac{-4}{1}=-4[/tex]

Answer:

The range of the graph is all real numbers greater than or equal to 0.

Step-by-step explanation:

we have

[tex]y=\sqrt{x}[/tex]

using a graphing tool

The graph in the attached figure

step 1

Find the domain

we know that the radicand of the function must be greater than or equal to zero

so

The domain is the interval ------> [0,∞)

[tex]x\geq0[/tex]

All real numbers greater than or equal to zero

step 2

Find the range

The range is the interval -----> [0,∞)

[tex]y\geq0[/tex]

All real numbers greater than or equal to zero

Let temperature = T

"The temperature stayed above -15 degrees. " means that the temperature is always greater than -15 degrees.

Therefore,

-15 degrees < T

The probability of drawing three queens in a row from a standard deck of cards, starting with the first card drawn as a queen and with no replacement, is approximately 0.0181% or 0.000181.

The probability of drawing a queen from a deck of 52 cards, given that the first card drawn was a queen and that cards are not replaced, involves a combination of multiplying probabilities for independent events:

To find the total probability of drawing three queens in a row, we multiply these independent probabilities together: (1/13) * (3/51) * (2/50). This totals to approximately 0.000181, or 0.0181%, which is the probability of drawing three queens in a row from a standard deck of cards without replacement after drawing the first queen.

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Answer:

Around $93.65

Step-by-step explanation:

(1 - 37%)(x) = 59

(0.63)(x) = 59

x = 93.65

Final answer:

To find the original price of the printer before a 37% discount, we set up an equation and solve for the original price. After solving, the original price is found to be approximately $93.65.

Explanation:

To calculate the original price of the printer before the discount, we need to understand that the sale price represents 100% - the discount percentage of the original price. Given that the sale price is $59 after a 37% discount, we set up an equation where the original price (which we'll call P) minus 37% of P equals $59.

The equation looks like this: P - 0.37P = $59. We can simplify this equation by combining like terms, which gives us 0.63P = $59. To find P, we then divide both sides of the equation by 0.63, leading us to the original price.

Let's do the math:

The original price of the printer is calculated to be approximately $93.65.

Answer:

[0, -1]

Step-by-step explanation:

According to the Slope-Intercept Formula y = mx + b, b is your y-intercept, and in the above raisin, you have your answer in place of that b.

Answer:

[0, -1], or just -1

Step-by-step answer:

The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.

For example, the domain of log(4x) will remain positive when x>0.

The domain of log_4(x+3) requires that x+3 >0, i.e. x>-3.

Finally, the domain of log_2(x-3) is such that x-3>0, or x>3.

Answer:

all real numbers greater than –3

Step-by-step explanation:

Answer:

She payed $34.60.

Step-by-step explanation:

It cost $19.60, just to rent the bike.

Then multiply $6 × 2 (hours) = 12

Now 6 ÷ 2 = 3 (half hour)

Add 12 + 3 = 15

Add everything together

19.60 + 15

You then get $34.60.

She paid $34.60.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given

It cost $19.60, just to rent the bike.

Then multiply $6 × 2 (hours) = 12

Now 6 ÷ 2 = 3 (half hour)

Add 12 + 3 = 15

Add everything together

19.60 + 15

You then get $34.60.

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Answer:

Option C. 50 square centimeters

Step-by-step explanation:

we know that

The surface area is equal to the area of four triangles plus the area of rectangle

so

[tex]SA=2[\frac{1}{2}(4)(2)]+2[\frac{1}{2}(6)(3)]+(6)(4)[/tex]

[tex]SA=8+18+24[/tex]

[tex]SA=50\ cm^{2}[/tex]

Answer:

C

Step-by-step explanation:

The total area comprises of the rectangle (area is base * height) and the 4 triangles (area = 1/2 * base * height).

Area of rectangle = 6 * 4 = 24

Area of top triangle = 1/2 * 6 * 3 = 9

Area of bottom triangle = 1/2 * 6 * 3 = 9

Area of rightside triangle = 1/2 * 4 * 2 = 4

Area of leftside triangle = 1/2 * 4 * 2 = 4

Let's add them up and find the correct answer:

Area = 24 + 9 + 9 + 4 + 4 = 50

Answer:

2.75s + 2w ≤ 15  

3 waters  

2.75s + 2(3) ≤ 15  

2.75 + 6 ≤ 15  

Subtract 6 from both sides  

2.75s ≤ 9  

Divide both sides by 2.75  

s ≤ 3.27  

since you can't by a negative amount of soda  

0 ≤ s ≤ 3.27  

But you also can't buy part of a soda  

0 ≤ s ≤ 3 <------

Hope this helps?

Inequality which represents the number of sodas is 0 ≤ s ≤ 3.

Given:

Alexandra has $15.

Cost of soda = $2.75

Cost of bottled water = $2.00

2.75s + 2w ≤ 15

Let, number of sodas be s.

number of bottled water be w.

Three Alexandra's friends asked for water.

∴ w = 3

⇒ 2.75s + 2(3) ≤ 15

⇒ 2.75s + 6 ≤ 15

Subtracting 6 from the both sides, we get:

⇒ 2.75s ≤ 15 - 6

⇒ 2.75s ≤ 9

Divide both sides by 2.75, we get:

⇒ s ≤ 9/2.75

⇒ s ≤ 3.27

But the number of sodas (s) should be a whole number and not an integer.

⇒ s ≤ 3

⇒ 0 ≤ s ≤ 3

Therefore, the inequality which represents the number of sodas she can

buy is 0 ≤ s ≤ 3.

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Answer:

Option D. (2,0)

Step-by-step explanation:

we know that

The graph show a vertical parabola open upward, the vertex represent a minimum

The vertex is the point (2,0)

The vertex of the graph given is located at the point (0,2)

The vertex of a curve is simply given by the maximum or minimum point on the parabolic curve.

For the graph shown, the vertex is the minimum point on the curve. It also represents the highest or lowest point depending on the function.

Hence, the vertex of the curve is (2, 0)

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Answer:

[tex]|m-32|\leq 8[/tex]

Range: [tex]24\leq m\leq 40[/tex]

Step-by-step explanation:

Let m represent cost of medication.

We have been given that a pharmacy claims that the average medication costs $32 but it could differ as much as $8.

[tex]|\text{Actual}-\text{Ideal}|\leq \text{tolerance}[/tex]

[tex]|m-32|\leq 8[/tex]

Using absolute value inequality definition, if [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:

[tex]-8\leq m-32\leq 8[/tex]

[tex]-8+32\leq m-32+32\leq 8+32[/tex]

[tex]24\leq m\leq 40[/tex]

Therefore, the range of medication costs at the pharmacy is [tex]24\leq m\leq 40[/tex].

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

Answer:

[tex]110.5\pi \ in^2[/tex]

Step-by-step explanation:

Given

Slant height = l = 17 in

Diameter = d = 13 in

We are given diameter of the circular base. We have to find radius first to calculate lateral area.

Radius = r = d/2

= 13/2

= 6.5 in

The formula for lateral area is:

[tex]LA = \pi rl\\Putting\ the\ values\\\LA = \pi *6.5*17\\= 110.5\pi in^2[/tex]

Hence, second option is correct ..

Answer:

Pls mark me brainliest because other guy is a genius

Step-by-step explanation:

Answer:

a) Current month's interest is: $40

b) The final payment is $7,440

c) Amount saved by paying off loan early is: $600

Step-by-step explanation:

Principal = $6,000

Interest rate = 8% or 0.08

Time = 36 months or 3 years

After 20 payments, the payment is $2,849.08.

a) What is the CURRENT month's interest?

The formula used to find the interest is:

I = P*r*t

Where P= Principal Amount

r = interest rate

and t = time in years

Putting the given values:

I = 6,000 * 0.08 * 3

I = 1440

Total Interest = $1440

Current Month interest = 1440/36

Current Month interest = 40

So, Current month's interest is: $40

b) What is the final payment?

The formula used is:

A = P(1+r*t)

A = 6,000(1+0.08*3)

A = 6000*(1.24)

A = 7,440

So, the final payment is $7,440

c) How much is saved by paying off the loan early?

The current balance paid is $2,849.08

The loan is paid when next payment is due.

So, remaining amount to be paid is:

Remaining Amount = Final Payment - Current balance paid

Remaining Amount = 7,440 - 2,849.08

Remaining Amount = 4,590.92

Remaining months in which amount is to be paid: 36-20 = 16 months

The loan is paid off next month so interest rate of remaining 15 months = 15*40 = 600

The amount paid on next payment = 4590.92 - 600 = $3990.9

So, amount saved by paying off loan early is: $600

Final answer:

Lionel Cooper saved $136.63 by paying off his loan early. The current month's interest on his loan was $19.09, making his final payment $2,868.17 after paying off the remaining balance of $2,849.08.

Explanation:

Lionel Cooper paid for new mechanic's tools with an installment loan of $6,000 at 8% annual interest rate for 36 months, with monthly payments of $187.80. After 20 payments, he decides to pay off the remaining balance of $2,849.08.

a.) What is the CURRENT month's interest?

First, calculate the monthly interest rate, which is 8% annually, or 0.08/12 per month = 0.0067. The current month's interest is the balance multiplied by the monthly interest rate: $2,849.08 * 0.0067 = $19.09.

b.) What is the final payment?

The final payment is the sum of the current month's interest plus the remaining balance: $19.09 (interest) + $2,849.08 (balance) = $2,868.17.

c.) How much is saved by paying off the loan early?

Normally, Lionel would pay $187.80 for 16 more months, totaling $3,004.80. By paying off early, he only paid $2,868.17, so he saved $136.63.