Evaluate the expression for the given values of the variables.
4a+7b+3a-2b+2a ;
a=-5 & b=3

a) 17

b) -5

c) -20

d) -30

Answers

Answer 1

The answer is D or -30

Answer 2

The value of the expression for the given values of the variables is -30.

The given expression is 4a+7b+3a-2b+2a, the values of the variables a=-5 and b=3.

We need to evaluate the expression for the given values of the variables.

How to find the value of the expression?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Now, put a=-5 and b=3 in the given expression and simplify.

That is, 4a+7b+3a-2b+2a=4(-5)+7(3)+3(-5)-2(3)+2(-5)

=-20+21-15-6-10

=-30

Therefore, the value of the expression for the given values of the variables is -30.

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Related Questions

help solve this algebra problem please!

Answers

Answer:

a) (1, 109)

Step-by-step explanation:

Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis

Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)

The range is nothing but the y - values.

The y values start from 1 and ends 109 at the interval -4 to 9

Here with I have attached the graph. Please have a look at it.

Thank you.

what number should be added to 17 to make the sum 0

Answers

you need to add -17 to 17 to get 0

17+x=0

x=-17

Answer:

The number would be –17.

Step-by-step explanation:

Hope this helps! :)

Jay has $25 to spend at a comic book store. If he buys a collectors guide for &12, what is the greatest number of individual comics he can by at $2 each?

Answers

The greatest number of comic books Jay can buy for $2 each is seven, because 25 - 12 = 14 and 14/7 = 2.

After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.

Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:

$25 - $12 = $13 remaining

Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:

$13 / $2 = 6.5

Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.

Zoe has 2 ten-dollar bills, 4 one-dollar bills, 3 quarters, 5 dimes, and 8 pennies. How much money does she have?

Answers

This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.

If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:


20+4+.75+.5+.08.


The total amount of money Zoe has is: $25.33



Teresa graphs the following 33 equations: y=2x, y=x2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

Answers

she is correct because the graph of y=2^2 will surpass the other 2 lines on the graph.

Final answer:

Teresa is correct as the graph of the exponential function y=2^x increases more rapidly than those of the linear and quadratic functions when x becomes large. Thus, y=2^x will eventually surpass the other graphs.

Explanation:

Teresa's statement that the graph of y=2^x will eventually surpass the other graphs of y=2x, y=x^2+2, and y=2x^2 is correct. This is because the graph of an exponential function such as y=2^x increases more rapidly than the graphs of linear or quadratic functions when the value of x becomes large.

For example, plotting data pairs for each of these equations, we would see that as x increases, the value of y for y=2^x will eventually be greater than the y-values for the other functions. While y=2x and y=x^2+2 will also increase with larger x, the growth rate is not as extreme as for the exponential function y=2^x.

To further illustrate, for very large values of x, the quadratic function y=2x^2 increases slower than the exponential function y=2^x. Therefore, understanding the characteristics of linear, quadratic, and exponential functions is essential in interpreting these graphs correctly.

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Please help easy stuff.......

Answers

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]

The name of the variable is obviously irrelelvant, so the same goes for the second function:

[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]

Question 1:

T(-4) = -(-4) - 2

-(-4) - 2 = 2

Consider the algebraic expression:

-z-7y+18x+4

Which of the follow is a constant in this expression?

Which of the following lists all the coefficients in this expression?

Answers

Coefficients are the numbers that are next to a variable(a letter in an expression). Therefore the coefficients would be 7 and 18 because they are both next to a variable (y and x).

I can’t exactly remember what a constant is but I think it is a number alone (not next to any variables) and they are ONLY separated by + and - not multiplication or division. In this case it would be all of the numbers that are in between the + or - (all of them.)

I also think a constant could be the variable next to the coefficient. Which would be y and x (next to 7 and 18).

I’m am so sorry I can’t remember what a constant is but I hope the coefficient helps:)

Answer:

Which of the following is a constant in this expression?

✔ 4

Which of the following lists all the coefficients in this expression?

✔ -1, -7, 18

A rotation is shown in the drawing:

Which statement best describes the rotation?

A) clockwise 90-degree rotation
B) clockwise 270-degree rotation
C) Counterclockwise 90-degree rotation
D) Counterclockwise 270-degree rotation

Answers

The answer is B

We are going from figure X to figure X', it is rotating more than 90 degrees so it must be 270, and it is rotating to the right so it is clockwise

Why hello there

Your answer will be B

In th epicture we can see that Figure X moved clockwise in a 270 degree angle.

If my answer helped please mark me as brainliest and have the best day ever!

Please need help on this not even sure on this

Answers

This is a rotation of 180° so (x, y) → (-x, -y)

The signs of the coordinates changed.

Answer: B

I need to solve V=KT/P for K... Help!

Answers

the equation starts as
[tex]v = \frac{kt}{p} [/tex]

in order to solve for k first you must multiply each side by p. you must multiply each side by p as it is originally being divided, to get rid of it you must do the opposite operation.
[tex]v \times p = \frac{kt}{p} \times \frac{p}{1} [/tex]
you cross multiply and end up with
[tex]v \times p = kt[/tex]
now to leave k by itself you must divide by t
[tex] \frac{v \times p}{t} = \frac{kt}{t} [/tex]
the t cancels out or becomes 1 leaving you with the answer of
[tex] \frac{v \times p}{t} = k[/tex]

Hello there!

[tex]V=KT/P[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

[tex]k\frac{t}{p}=v[/tex]

Then you multiply by p from both sides of the equation.

[tex]k\frac{t}{p}p=VP; P\neq0[/tex]

Simplify

[tex]tk=vp; p\neq0[/tex]

Divide by t from both sides of the equation.

[tex]\frac{tk}{t}=\frac{vp}{t}; P\neq0, T\neq0[/tex]

Simplify it should be the correct answer.

[tex]K=\frac{VP}{T}; P\neq0, T\neq0[/tex]

Answer⇒⇒⇒⇒K=VP/T; P≠0, and T≠0

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The mean score on a driving exam for a group of​ driver's education students is 80 ​points, with a standard deviation of 3 points. Apply​ Chebychev's Theorem to the data using k=2. Interpret the results.

Answers

Final answer:

Applying Chebyshev's theorem with a mean of 80 and a standard deviation of 3 to k=2, we find that at least 75% of exam scores should fall between 74 and 86 points.

Explanation:

Chebyshev's Theorem states that at least [tex]1 − 1/k^2[/tex](where 'k' is any real number greater than 1) of data from a sample will fall within 'k' standard deviations from the mean. Given that the mean score on the driving test is 80 points and the standard deviation is 3 points, we apply Chebyshev's theorem with k=2 (2 standard deviations from the mean).

Now let's do the calculations. The formula for Chebyshev’s Theorem is [tex]1 – 1/k^2[/tex], so that gives us[tex]1 - 1/2^2 = 1[/tex] - 1/4 = 0.75 or 75%.

Also, to find the range within which 75% of the results will fall, we use the mean and standard deviation, which gives us 'mean ± k standard deviations' => 80 ± 2*3 => [74, 86].

In conclusion, Chebyshev's theorem predicts that at least 75% of the scores on the driving test should be between 74 and 86 points.

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What is the explicit formula for this sequence? −8, −3, 2, 7, …

Answers

It's an arithmetical sequence with [tex]a_1=-8,d=5[/tex]

So

[tex]a_n=a_1+(n-1)d\\\\a_n=-8+(n-1)\cdot5\\\\a_n=-8+5n-5\\\\\boxed{a_n=5n-13}[/tex]

In part a and b, use each of the digits 2, 3, & 4 exactly once.

a. Write a mixed number that has a terminating decimal, and write the decimal.


b. Write a mixed number that has a repeating decimal, and write the decimal.

Answers

The answer for a is 2 3/4 which will give you 1.5 .
The answer for b is 4 2/3 which will give you a repeating decimal of 2.666666667. Hope this helps.

Answer:

a) [tex]2\frac{3}{4}[/tex] = 2.75

b) [tex]4\frac{2}{3} [/tex]= 4.6666...

Step-by-step explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction =  Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.

solve -3x+4= -(3x-14)

Answers

Answer:

There is no solution



-3x + 4 = -3x +14

No solution

HELP ME PLEASE !!!!!!!!!!15 POINTS 

Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
A.9.465 milliliters
B. 94.625 milliliters
C. 9,462.5 milliliters
D. 94,625 milliliter

Answers

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

Answer:

c

Step-by-step explanation:

Compound Interest Question...

Answers

Answer:

Zombie population = 8 * 2^(number of hours)

Zombie population (after 24 hours) = 8 * 2^(24)

equals 8 * 16,777,216 = 134,217,728



Step-by-step explanation:


Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before tip?

Answers

The answer is:

4.50*0.18= 0.81

$4.50 × 18% ≈ 0.81


Echy~

Simplify square root of 40 divided by 3

Answers

when you divide them in the square root you get 3.651.... but just put 3.65
3.65 is the correct and

Use long division to convert the rational number 1/8 to its equivalent decimal form.

Answers

Answer:

1/8 = 0.125 I hope this helps! Please give me brainiest!

Step-by-step explanation:

  0.125

8/1.000

  - 8

     20

     -16

        40

       -40

          0

1.8 you just divid both numbers

Find the product!!!!!!!

Answers

Hello there!

[tex]-\frac{2}{9}*\frac{1}{5}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the fractions.

[tex]-\frac{2*1}{9*5}[/tex]

Then you had to multiply by the numbers.

[tex]2*1=2[/tex]

[tex]-\frac{2}{9*5}[/tex]

You can also multiply by the numbers again.

[tex]=-\frac{2}{45}[/tex]

Answer⇒⇒⇒⇒⇒⇒=-2/45

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

-2/45 is the correct answer.

plz answer this question

Answers

A.)    1.3968253968254

B.) 8.75

C.)1.94

D.)2.962962962963

Find the linear equations written in standard form. Select all that apply. x + y = –1 –3x = y
x + 4y = 0
y = 5x – 2
x = 3 – 0.1y
8x – 3y = 20

Answers

Answer:

Doing the assignment got all right answers x + y = –1, x + 4y = 0, 8x – 3y = 20

Step-by-step explanation:

The linear equations written in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Standard form of a linear equation is, Ax + By = C, where A, B and C are integers.

We have to select all the linear equations which are of the form as given above.

x + y = -1 is in standard form, where A = 1, B = 1 and C = -1

x + 4y = 0 is in standard form, where A = 1, B = 4 and C = 0

8x – 3y = 20 is in standard form, where A = 8, B = -3 and C = 20

Other equations  –3x = y, y = 5x – 2 and x = 3 – 0.1y are not in the standard form.

Hence the equations in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

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What is 1 7/8 times 5/6

Answers

[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]

[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]

Hope this helps!!!

Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

Answers

It is a scalene triangle.

At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How tall is the building?

Answers

Final answer:

To find the height of the building, we can use the concept of similar triangles and set up a proportion. Substituting the given values and solving for x, we find the height of the building to be approximately 186.5 meters.

Explanation:

To find the height of the building, we can use the concept of similar triangles. Let's set up a proportion using the man's height and shadow length, and the building's height and shadow length. We have:

(Man's Height)/(Man's Shadow Length) = Building's Height/(Building's Shadow Length)

Substituting the given values, we have:

(138 cm)/(148 cm) = x/(199 m)

Cross-multiplying and solving for x, we find the height of the building to be approximately 186.5 meters.

The midpoint of BC is (5, -2). One endpoint is B (3,4). What are the coordinates of endpoint C?

Answers

Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].

Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].

We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].

[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]

[tex]C(7;-8)[/tex]

Answer:

The coordinates of endpoint C are (7,-8).

Step-by-step explanation:

Given information: Midpoint of BC is (5, -2) and B(3,4).

We need to find the coordinates of C.

Let the coordinate of C are (x,y).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of BC is

[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

Midpoint of BC is (5,-2).

[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

On comparing both sides.

[tex]5=\frac{3+x}{2}[/tex]

[tex]10=3+x[/tex]

[tex]10-3=x[/tex]

[tex]7=x[/tex]

The value of x is 7.

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

[tex]-4=4+y[/tex]

[tex]-4-4=y[/tex]

[tex]-8=y[/tex]

The value of y is -8.

Therefore the coordinates of endpoint C are (7,-8).

For which value of x is the figure a rectangle?
A. x = -1
B. x = 11
C. x = 11.5
D. x = 22.25

Answers

The corner is 90° in a rectangle so the two must add up to it.

The answer is B, because

11×3=33
5×11=55+2=57
57+33=90

Since the two add up to 90° This makes B the correct answer.

Answer:

The value of x is 11.

Option (B) is correct.

Step-by-step explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

[tex]x = \frac{88}{8}[/tex]

x = 11

Therefore the value of x is 11.

Option (B) is correct.

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.

Answers

Answer:

[tex]\frac{11}{3}[/tex] miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles

For each additional 0.1 mile, the additional charge is $0.30

So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]

Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]

Now, given that total fare is $15, so,

[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

[tex]0.1\times 10 = 1 mile[/tex]

Hence, for 10 miles, cost is

[tex]0.30\times 10 = 3[/tex] dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

[tex]15=3.50+3x+2[/tex]

[tex]9.5=3x[/tex]

[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles

Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles




What is the value of x?

Answers

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

Which linear system of equations does the matrix represent

M=[874]
[205]

Answers

Final answer:

The given matrix M = [874], [205] corresponds to the linear system of equations x = 874 and x = 205.

Explanation:

The given matrix M = [874], [205] represents a linear system of equations with one variable. Since the matrix has two elements arranged in a column, it represents two equations, each with one unknown variable. The system of equations that the matrix represents is as follows:

x = 874

x = 205

Here, x represents the unknown variable.

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Graph 3.75 on a number line all waves have wave frequency rest point and speed true or false h= 1/2 gt2 Take a look at the figure. The distance h a body will move in free fall is expressed by the formula shown. If g = 980 centimeters per second2 and t = 20 seconds, what is the distance? A. 9,800 centimeters B. 368,000 centimeters C. 49,000 centimeters D. 196,000 centimeters (01.07, 02.01 MC) Brian solved the following equation: 6(3x 5) = 4(4x + 2) Step Work Justification 1 18x 30 = 16x + 8 2 2x 30 = 8 3 2x = 38 4 x = 19 Which of the following has all correct justifications Brian used to solve this equation? 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative inverse. 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative property of equality. Fred deposited $1,000 into an account that earns 2 percent, compounded annually. How much money will he have in 5 years? A. $1000 B. $1100 C. $1552 D. $1291 E. $1126 A soccer team has 11 players, consisting of a goalie, forwards, midfielders, and backfielders, the last-mentioned of which kick the ball into the goal. In the past two weeks sue earned $513 at her part-time job. She worked a total of 54 hours.About how much did sue earn per hour? BRAINLIEST IF CORRECT MUST USE WORK. Which option is an example of a chemical property?A. boiling point B. rusting ability C. melting point D. density After how many places the decimal expansion of 13/40 will terminate? If f(x)=7x+4 and g(x)=1/2, what is the value of (f/g)(5)?HURRYYYYY PLEASEEE HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!2. Justify each step in solving the equation by writing a reason for each statement.3. Provide reasons for the proof.PLEASE ANSWER CORRECTLY, THE PICTURES ARE BELOW Explain the geographic context for the development of the Babylonian empire What refers to a weighted average of the atomic weights of all naturally occurring isotopes of an element. A farmer is considering four different sizes of cylindrical silos. Which silo will provide the greatest storage capacity? Corn SilosSiloRadiusHeightA6 feet60 feetB8 feet50 feetC10 feet34 feetD12 feet20 feet Help Please!! An object is dropped from a height h meters. From the time the object is h/2 meters above the ground, it takes 1 second until the object strikes the ground. From what height was the object dropped? Jonathan used completing the square to find the maximum value of the quadratic expression -x^2 - 4x + 1. What is the maximum value of the expression, and at what x value does it occur? thinking that the rally started in the evening andrea and heather planned to spend the first half of the day at the beach what best identifies the noun the participial phrase modifies What is a storyboard? What is its purpose? How was the invention of the wheel important to the Sumerians? A. It allowed them to conquer neighboring states. B. It made traveling with traded items easier and increased trade. C. It improved their communication and recordkeeping. D. It helped them to water their crops all year. I need help with this