For the equation: 2x + 7y + 6x - 3y + 4, choose the algebraic expression by combining like terms:
a. 16
b. 8x + 4y + 4
c. 12x + 4
d. 8x + 10y +4

Answers

Answer 1

Answer:

Combine like terms

Step-by-step explanation:

+ 8x

+4y

+4

8x + 4y + 4

Answer 2

Answer:

B

Step-by-step explanation:

2x+6x=8x

7y-3y=4y

Add the new terms into the equation and you get 8x+4y+4


Related Questions


Find the roots of f(x)=x^2 + 10x -96

Answers

the answer is b

explanation: i factored it

Grace earns $7 for each car she washes. She always saves $20 of her weekly earnings. This week, she wants to have at least $69 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary.

Answers

She needs to wash 9 cars for 69 dollars

Answer:

She need to wash 9 cars

Step-by-step explanation:

PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)

Answers

Answer:

Hey Mate!

tis is ur answrr!

Some one plesae heelp!1

Answers

Option (b) 1.00

Step-by-step explanation:

3.4×1.00 = 3.4

Answer:

1.00

Step-by-step explanation:

1.00 equals one therefore the actual equation is 3.4x 1 = 3.4

Or 3.4x1.00=3.4

Hope this helps.

Find the measure of the indicated angle. (image included)
I'm sorry I keep posting these it's just cause I don't understand still but i'm learning.

Answers

Answer: 88

The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)

The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)

Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)

Hope this helps!

The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)

Answers

Answer:

see explanation

Step-by-step explanation:

The volume (V) of the cuboid is calculated as

V = (2x + 5)(3 - x)(x + 1)

   = (3 - x)(2x + 5)(x + 1) ← expand the pair of factors using FOIL

    = (3 - x)(2x² + 7x + 5)

    = 3(2x² + 7x + 5) - x(2x² + 7x + 5) ← distribute parenthesis

    = 6x² + 21x + 15 - 2x³ -7x² - 5x ← collect like terms and rearrange

    = 15 + 16x - x² - 2x³

The volume of the cuboid is 15 + 16x - x² - 2x³

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume (V) of the cuboid is calculated as

Volume of cuboid is length times width times height.

V = (2x + 5)(3 - x)(x + 1)

= (3 - x)(2x + 5)(x + 1)

Expand the pair of factors using FOIL

= (3 - x)(2x² + 7x + 5)

= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ←

Distribute parenthesis

= 6x² + 21x + 15 - 2x³ -7x² - 5x

Combine like terms and rearrange

= 15 + 16x - x² - 2x³

Hence, the volume of the cuboid is 15 + 16x - x² - 2x³

To learn more on Three dimensional figure click:

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Shawn erned 5 dallors an hour mowing lawns pluse 10 welkly allounce from his parents what minmin number of hours he needs to mow in order to have enuf money to buy 75 dallars par of basketball sheows

Answers

Answer:

13 hours

Step-by-step explanation:

Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.

Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,

10 + 5t = 75

We now solve for t to find the amount of hours  if takes him to earn enough to buy the shoes.

So,

10 + 5t = 75

Subtracting 10 from both sides, we have

10 - 10 + 5t = 75 - 10

5t = 65

dividing both sides by 5, we have

t = 65/5

t = 13 hours

So, it takes Shawn 13 hours to earn enough to buy the shoes.

How many milligrams are in one-half a gram?

Answers

500 milligrams are in one half gram
500 milligrams are in one-half a gram

Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.

Answers

Answer:

JKM is not a right triangle because KL + LM ≠ 15.3.

Step-by-step explanation:

Given

[tex]JK = 13[/tex]

[tex]JL = 5[/tex]

[tex]JM = 8[/tex]

Required

Determine if JKM is right-angles or not

Calculate length KL using Pythagoras theorem.

[tex]JK^2 = JL^2 + KL^2[/tex]

[tex]13^2 = 5^2 + KL^2[/tex]

Collect like terms

[tex]KL^2 = 13^2 - 5^2[/tex]

[tex]KL^2 = 144[/tex]

[tex]KL = 12[/tex]

Calculate length LM using Pythagoras theorem.

[tex]JM^2 = JL^2 + LM^2[/tex]

[tex]8^2 = 5^2 + LM^2[/tex]

Collect like terms

[tex]LM^2 = 8^2 - 5^2[/tex]

[tex]LM^2 = 39[/tex]

[tex]LM = \sqrt{39[/tex]

[tex]LM = 6.2[/tex]

[tex]KM = KL + LM[/tex]

[tex]KM = 12 + 6.2[/tex]

[tex]KM = 18.2[/tex]

If JKM is right-angled, then:

[tex]KM^2 = JK^2 + JM^2[/tex]

[tex]KM^2 = 13^2 + 8^2[/tex]

[tex]KM^2 = 233[/tex]

[tex]KM = \sqrt{233[/tex]

[tex]KM = 15.3[/tex]

[tex]15.3 \ne 18.2[/tex]

i.e

[tex]KL + LM \ne 15.3[/tex]

Hence: JKM is not right-angled

Answer:

C-JKM is not a right triangle because KL + LM ≠ 15.3

Step-by-step explanation:

if right mark as brainliest

Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2

Answers

Answer:

[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]

Now,

Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]

Now,

[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]

      = [tex]{\frac{10 }{3\pi }[/tex]

⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

math (not too hard answer asap) :)

Answers

Answer:

A and C

Step-by-step explanation:

A. 134 is the mode, correct, repeated 5 timesB. 111 is appears 3 times, incorrect , this number is not part of data setC. There are more data values between 130 and 139, correct, there are 8 of themD. There are 20 data values, incorrect , there are 23

In ΔQRS, r = 6.9 inches, ∠Q=40° and ∠R=101°. Find the area of ΔQRS, to the nearest 10th of an square inch.

Answers

Answer:

9.8 in²

Step-by-step explanation:

If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:

Area = (1/2)absin(C)

In ΔQRS, the area is:

Area = (1/2)rqsin(S)

∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)

∠S + 40 + 101 = 180

∠S = 39°

Using sine rule to find q:

[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
I need the bottom part

Answers

Answer:

y ≠ 9, y ≠ 3

Step-by-step explanation:

y² -12y +27 = (y - 9) (y - 3)

Denominator ≠ 0

y ≠ 9 or y ≠ 3

for brainiest:):):):):):):):):)

Answers

Answer:

H 5 ft L 18 ft

Step-by-step explanation:

hight is 5 feet high legnth is 18 feet wide

I need help I'm so confused

Answers

Answer:

Yeah me too buddy :(

Step-by-step explanation:

Identify a transformation of the function ƒ(x) = x^2 by observing the equation of the function g(x) = (x – 1)^2

Answers

Answer:

f(x) is translated 1 units left to give g(x)

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x - 1)^2[/tex]

Required

How does f(x) transform to g(x)

[tex]f(x) = x^2[/tex]

When translated by b units left, it gives:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 1[/tex]

So:

[tex]g(x) = f(x - 1)[/tex]

If [tex]f(x) = x^2[/tex], then

[tex]f(x - 1) = (x - 1)^2[/tex]

Hence:

[tex]g(x) = (x - 1)^2[/tex]

This implies that; f(x) is translated 1 units left to give g(x)

I will give brainly

Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
r = 4 cm
4√2 cm
[? ]%

Answers

Answer:

Step-by-step explanation:

This probability will be the area of the square divided by the area of the circle.

[tex]P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\% [/tex]

please help me. i'll give brainliest

Answers

The list that represents the simulation is (d) 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

How to rearrange the list?

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

To illustrate the simulation of four free throws, then each number on the list must have 4 digits

So, we have:

8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

Hence, the list that represents the simulation of four free throws is (d)

Read more about random numbers at:

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HELP ILL GIVE BRAINLIEST what’s the shape of the
Base?

Answers

Answer:

circle

Step-by-step explanation:

The shape of its base is Circle .

Find the missing sides of each triangle. Leave your answers in radical form

Answers

Answer:

youbhave give me more information.

Answer:

incomplete question

please write the whole question or diagram of the question


HELP ! How long is segment AB ?

Answers

Answer:

square root of (2+10)²+(-5+3)²

square root of 144+4

square root of 148

Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?

a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x

Answers

Answer:

d

Step-by-step explanation:

Alexa took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.20 plus $0.25 per mile. The total fare was $6.20, not including the tip. How many miles was the taxi ride?

Answers

Answer:

8

Step-by-step explanation: 6.20-4.20=2.00 2.00 divide by 25 for each mile = 8

Find the
Width (in feet)

Answers

Answer

62

Step-by-step explanation:

PLEASE HELP ME- In the diagram below,

Answers

Answer:

Step-by-step explanation:

Is n = 3 a solution to the inequality below?
n<4
yes or no?

Answers

Answer:

Yes

Step-by-step explanation:

Since 3 is less than 4, it would work in the inequality. It would look like this: 3 [tex]\leq[/tex] 4, which is true.

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

Sum of exterior angles of a polygon is 360°

#8

2x + 2(64°) + 36° + 48° = 360°2x + 212° = 360°2x = 360° - 212°2x = 148°x = 74°

#9

x + 73° + 109° + 90° = 360°x + 272° = 360°x = 360° - 272°x = 88°

For this question, use the following functions.
f(x) = 2x + 6
g(x) = 4x2 – 9
Find a simplified expression for f(f(x)).
O 2x – 12
0 4x + 12
O 2x + 6
O 4x + 18

Answers

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x  + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18


PLEASE PLEASE PLEASE HELP HELP ME ME!!!!

Answers

Answer:

The answer for question 3 is D, number 4 is C

question 3 is c Ndndndnds

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope intercept form

Answers

Answer:

y = -5x - 23

Step-by-step explanation:

Write it in point - slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

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