HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)

Answers

Answer 1

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer 2

Answer:

[tex]\large \boxed{2(5x-4)(x+1)}[/tex]

Step-by-step explanation:

[tex]10x^2 + 2x - 8[/tex]

Rewrite 2x as 10x - 8x.

[tex]10x^2 + 10x-8x - 8[/tex]

Factor out the two groups.

[tex]10x(x+1)-8(x+1)[/tex]

Take x+1 as a common factor.

[tex](10x-8)(x+1)[/tex]

Factor 10x - 8.

[tex]2(5x-4)(x+1)[/tex]


Related Questions

Please answer ASAP. The question is down below

Answers

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]

Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the least value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?​

Answers

Answer:

RM3,500

Step-by-step explanation:

Salary=RM375 per week

5% commission per week

If she target a minimum of RM 550.

Let x=minimum Sales

RM550=RM375 + 5% of x

RM550=RM375 + 0.05x

RM550 - RM375=0.05x

RM175=0.05x

Divide both sides by 0.05

RM175/0.05=0.05x/0.05

RM3,500=x

For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.

Check:

5% of RM3,500

=0.05*3,500

=RM175

Plus

Salary of RM375

RM175 + RM375=RM550

IT IS FOR NOW IM GIVING BRAINLIEST HRRY UP AND 10 POINTS Simplify the expression. What classification describes the resulting polynomial? (8x2 + 3x) − (12x2 − 1) A. linear binomial B. quadratic binomial C. quadratic trinomial D. linear monomial

Answers

Answer:

The equation would be a quadratic trinomial

Step-by-step explanation:

Step 1: Expand the equation to remove the brackets

0 = 8x² + 3x - 12x² + 1

Step 2: Collect like terms

0 = -4x² + 3x + 1

Step 3: Count number of terms

0 = -4x² + 3x + 1

1 2 3

Therefore there are 3 terms and this is a quadratic equation making the answer B, a quadratic trinomial

The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Answers

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

[tex]z^4=1[/tex]

are

1, i, -1, -i

so, the solutions of [tex]z^4=16=2^4[/tex] are

2, 2i, -2, -2i

Thank you

10 points please help​

Answers

Answer:

[tex]\frac{14}{55}[/tex]

Step-by-step explanation:

note that

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

Given

[tex]\frac{8!9!}{5!12!}[/tex]

Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from

5! ( 5 × 4 × 3 × 2 × 1 ) leaving

8 × 7 × 6 = 336 on the numerator

Similarly

Cancel the terms from 9! and 12!

leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to

[tex]\frac{336}{1320}[/tex]

= [tex]\frac{14}{55}[/tex]

Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing.
Problem: Construct a triangle with interior angle
measures of 60° and 75°.
What is the measure of the third angle?
O 30°
2C = 41°
O 45°
48°
9.2
10
50°
ZA = 49°
6.0 ZB = 90°

Answers

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle  = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together

Answers

Answer:

The number of seedlings the three boys planted together is 560 seedlings

Step-by-step explanation:

The possible information in the question are;

Percentage of the seedlings planted by Ali = 40%

Percentage of the seedling planted by Ben = 45%

The percentage of the seedling planted by Cliff = The rest of the seedling

The number of seedling planted by Cliff = 84 siblings

Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Given that Cliff planted 15% of the seedlings, we have;

15% of seedlings Cliff planted = 84

Let X = the total number of seedlings

15/100 × X = 0.15×X = 84

X = 84/0.15 = 560

The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.

A man lends 12,500 at 12% for the first
year, at 15% for the second year and at 18%
for the third year. If the rates of interest are
compounded yearly; find the difference
between the C.I. of the first year and the
compound interest for the third year.​

Answers

Answer: $1398

Step-by-step explanation:

Given , Principal (P) =  $12,500

Rate of interest for 1st year [tex](R_1)[/tex]=  12% =0.12

Rate of interest for 2nd year [tex](R_2)[/tex]=  15% =0.15

Rate of interest for 3rd year [tex](R_3)[/tex]=  18% =0.18

Interest for first year = [tex]I=P\times R_1\times T[/tex]

= [tex]12500\times 0.12\times 1[/tex]

= $1500

Now, For second year new principal [tex]P_2 = \$12,500+\$1,500 =\$14,000[/tex]

Interest for second year = [tex]I=P_2\times R_2\times T[/tex]

= [tex]14000\times 0.15\times 1[/tex]

= $2100

Now, For third year new principal [tex]P_3 = \$14000+\$2,100 =\$16,100[/tex]

Interest for third year = [tex]I=P_3\times R_3\times T[/tex]

= [tex]16100\times 0.18\times 1[/tex]

= $2898

Difference  between the compound interest of the first year and the  compound interest for the third year. = $2898 - $1500 = $1398

Hence, the difference  between the compound interest of the first year and the  compound interest for the third year is $1398 .

-3 = k/12 help please

Answers

Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

[tex]-3=\frac{k}{12}[/tex]

multiply both sides by 12

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

12*(-3)=-36

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

k=-36

Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and
the other has a width of 8 cm. Find the length of the second rectangle. Round to
the nearest tenth if necessary.
A 12.3 cm
B 6 cm
C 10.7 cm
D 8 cm

Answers

Answer:

10.7

Step-by-step explanation:

Let x be the missing side.

The rectangles are similar. Wich means:

● 8/9 = x/12

Cross multiply

● 9x = 8×12

● 9x = 96

Divide both sides by 9

● 9x/9 = 96/9

● x = 10.666

Round it to the nearest unit

● x = 10.7

The volume of a sphere whose diameter is 18 centimeters is
π cubic centimeters. If its diameter were reduced by half, its volume would be
of its original volume.

Answers

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

volume before reducing is 8 times the volume after reducing

Answer:

The volume of a sphere whose diameter is 18 centimeters is 972  π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8  of its original volume.

Step-by-step explanation:

Correct for plato :)

For the function F defined by F(x)=x2−2x+4, find F(5). For the function F defined by F ( x ) = x 2 − 2 x + 4 , find F ( 5 ) . A. 32 32 B. 39 39 C. 19 19 D. 4

Answers

Answer:

C. 19

Step-by-step explanation:

Given the function defined by F(x)=x²−2x+4, in order to get f(5), we will have to simply substitute x = 5 into the formula given as shown;

F(5) = 5²-2(5)+4

F(5) = 25 - 10 + 4

F(5) = 15 + 4

F(5) = 19

Hence, for the function F defined by F(x)=x²−2x+4, F(5) = 19

On a cold February morning, the temperature of the radiator fluid in Stanley’s car is . When the engine is running, the temperature of the fluid goes up per minute. Approximately how long will it take before the radiator fluid temperature reaches ?

Answers

Answer:

18.18 min

Step-by-step explanation:

The complete question is

On a cold February morning, the radiator fluid in Stanley’s car is -18F. When the engine is running, the temperature goes up 5.4 F per minute. Approximately how long will it take before the radiator fluid temperature reaches 80 F?

The initial temperature of the engine [tex]T_{1}[/tex] = -18 F

rate of increase in temperature r = 5.4 F/min

Final temperature [tex]T_{2}[/tex]  = 80 F

Difference in temperature ΔT = [tex]T_{1} -T_{2}[/tex] = 80 - (-18) = 98 F

time taken to reach this 80 F will be = ΔT/r

where ΔT is the difference in temperature

r is the rate of change of temperature

time taken = 98/5.4 = 18.18 min

explanation pls? step by step i get confused on these questions! thank you!​

Answers

Answer:

5xyz

Step-by-step explanation:

10x^2 y^2z and 15xyz^2

Rewriting

2*5*x*x*y*y*z   and 3*5 *x*y*z*z

What is common to both terms

5 x y z

The greatest common factor is 5xyz

Answer:

the GCF is 5(xyz)

Step-by-step explanation:

For the numbers, you want to find the largest number that both of the coefficients can be divided by. I'm not sure if your answer choices include variables, but if they do, its only xyz, nothing can be squared because both equations have different variables squared.

This table represents a quadratic function.
What is the value of “a” in the function’s equation?
A. -1/2
B. 1/2
C. 2
D. 1

Answers

Answer:

I think 1/2 is the ans

Step-by-step explanation:

quadratic function equation

would help

Solve D = ABC for C.

Answers

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Find the total surface area.

Answers

Answer:

160cm²

Step-by-step explanation:

To find the surface area of this prism, you just need to add up the areas of each side. To simplify the calculations a bit, we can take multiples of the sides which are the same. For example, here we have two equal trapezoids on each end, so we can multiply the area by two when adding.

The work is in the attachment.

Suppose you roll a fair six-sided die 25 times. What is the probability that you roll 5 or more 6’s on that die?

A. 0.3883

B. 0.5937

C. 0.5

D. 0.4063

Answers

Answer:

D. P(5+ 6's) = 0.4063

Step-by-step explanation:

Binomial distribution.

For the distribution to be applicable, the experiment must

1. Have a know and constant number of trials

2. Probability of success of each trial remains constant (and known if available)

3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.

4. Independence between trials.

Let  

n = number of trials  = 25

p = probability of success of each trial  = 1 / 6

x = number of successes  (0 ≤ x ≤ n)  = 5

C(n,x) = number of combinations of picking x identical objects out of n

Applying binomial distribution

P(x,n) = probability of x successes in an experiment of n trials.

= C(n,x) * p^x * (1-p)^(n-x)

For n = 25 trials with probability of success (roll a 6) = 1/6

and x = 5,6,7,8,...25

It is easier to calculate the complement by

P(5+ 6's) = 1 - P(<5 6's)

= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )

1- (

    P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961

    P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051

     P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532

    P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883

    P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171

)

= 1 - 0.59373

= 0.40626

= 0.4063 (to 4th decimal place)

Find the value of tetha in 2 cos 3 tetha = 1

Answers

Answer:

Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.

can we chat girl in comment

2(cos 3theta) = 1
Cos 3theta = 1/2 = cos(60)
Theta = 60/3 = 20

Express 0.00013745 to 3 significant figures.​

Answers

Answer:

0.000137

To 1 significant figure: 0.0001

To 2 significant figures: 0.00014

To 3 significant figures: 0.000137

To 4 significant figures: 0.0001375

To 5 significant figures: 0.00013745

0.000137.

Hope it helps ❄️

30 points and brainliest for the right answer :) I would like to know how to do this, so an explanation would be nice :P Thanks for the help!

Answers

Answer:

Below

Step-by-step explanation:

● (a)

Let's determine the difference between the outputs of any two inputs that are one unit apart.

Let m be that difference.

2 and 3 are one unit apart since when you substract 2 from 3 you get 1.

● 3-2 = 1

Let's calculate m.

The output of 2 and 3 are respectively 45 and 53.

● m = 53 - 45

● m= 8

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of any two inputs that are 2 units apart.

Let m' be that difference

3 and 1 are 2 units apart since when you substract 1 from 3 you get 2.

● 3-1 = 2

The outputs of 1 and 3 are respectively 37 and 53.

● m'= 53-37

● m' = 16

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of two inputs that are 3 units apart.

Let m" be that difference

0 and 3 are 3 units apart since when you substract 0 from 3 you get 3.

● 3-0 = 3

Let's calculate m":

The outputs of 0 and 3 are respectively 29 and 53

● m" = 53-29

● m" = 24

■■■■■■■■■■■■■■■■■■■■■■■■■■

● m = 8

● m'= 16

● m" = 24

Notice that all these values are multiples of 8.

● 8 = 8×1

● 16 = 8×2

● 24 = 8×3

Notice that each time the difference m is multiplied by the units that are between the inputs.

This is explained by the fact that the function is a linear one.

When the input interval grows the difference between the outputs grows two.

Answer:

Step-by-step explanation:

find the equation of the linear function   in the form of y=mx+b

m=y2-y1/x2-x1 =-3+11/-4+5=8

y=8x+29 ( when x=0, y=b=29)

out put  : -3 and -11 -3-(-11)=8 which is 1 unit

out put : 21 and 5 21-5=16   which is 2 unit (2*8)

output :53 and 29 53-29=24 which is 3 units (3*8)

ratio of change = f(b)-(f(a)/b-a

at point -3 and -11 : f(-3)-f(-11)/-4+5=-3+11/1=8

at point 21 and 5 : 21-5/-1+3=16/2=8

the graph always increasing and always equal 8

What is the slope of the line that passes through the points (-10, 8) and
(-15, – 7)? Write your answer in simplest form.

Answers

Answer:

[tex]slope=3[/tex]

Step-by-step explanation:

Use the following equation the find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]

Solve:

[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]

Simplify. Two negatives make a positive:

[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]

Simplify fraction by dividing top and bottom by 5:

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

The slope is 3.

:Done

The slope of the line that passes through the points (-10, 8) and  (-15, -7) is 3 and thsi can be determined by using the point-slope formula.

Given :

The line that passes through the points (-10, 8) and  (-15, -7).

The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and  (-15, -7):

Step 1 - The slope formula when two points are given is:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Step 2 - Substitute the known terms in the above formula.

[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm m = \dfrac{15}{5}[/tex]

m = 3

For more information, refer to the link given below:

https://brainly.com/question/2514839

Simplify.
2x (3-1) + 3

O 7
O 8
10
O 11

Answers

Answer:

(2,−6)+(9,9)

(12,−5)⋅(5,6)

(4,4)⋅(4,4)

Step-by-step explanation:

Try one of these answers

Answer:

Let's simplify step-by-step.

2x(3−1)+3

=4x+3

Step-by-step explanation:

2x[3-1]=6x-2x=4x

4x+3

you have decided to hire a disc jockey for your party. the second dj you interviewed has 3 times as many songs as the first dj. the third dj had half as many songs as the second dj. write an expression to represent the number of songs the third has if the first dj had r songs. explain how you arrived at your answer

Answers

Answer:

The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

Step-by-step explanation:

Answer:

The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

Step-by-step explanation:

just did

PLEASE HELP!!!
Which expression shows a way to find the area of the following rectangle?

Answers

Answer:

B

Step-by-step explanation:

This rectangle appears to have 7 boxes on the bottom, and 3 box for the side.

Since area is base×height

It would be 7×3

B- 7x3 to find the area you do l•w the pic shows 6x2 but u can see there’s room for another square

the fastest land dwelling creature is the cheetah. fact or
opinion


Answers

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

note that y = f(x), thus rearrange the equation making y the subject.

Given

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is

f(x) = 3x - 14 ← in functional notation

3) Find f(3) for the function below.
f(x) = 2x² – 3x

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x² – 3x

Let x=3

f(3) = 2 * 3^2 - 3*3

     = 2 *9 - 9

     = 18-9

      = 9

Answer:

f(3) = 9

Step-by-step explanation:

[tex]f(x) = 2x^2 -3x\\ f(3) = ?\\\\ f(3) = 2(3)^2 -3(3)\\ f(3) = 2(9) - 9\\ f(3) = 18- 9\\ f(3) = 9[/tex]

This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82

Answers

Answer:

1.) Neither

2.) Area

3.) Perimeter

4.) Neither

Step-by-step explanation:

Given that the lengths of the rectangle are r and s

The perimeter of the rectangle will be:

Perimeter = 2r + 2s

Perimeter = 2(r+s)

While the area will be:

Area = r × s

Area = rs

For each expression, say whether it gives the perimeter of the rectangle, the area of the

rectangle, or neither.

1. rts = neither

2. r.s = Area of rectangle

3. 2r + 2s = Perimeter of rectangle

4.72 +82 = neither.

What is the perimeter of the figure shown?

Answers

Answer:

[tex]\boxed{16 units}[/tex]

Step-by-step explanation:

Hey there!

Well since all the sides are congruent and there are 8 sides we can make the following expression,

P = 2*8

P = 16

Hope this helps :)

Answer:

16

Step-by-step explanation:

The sides of this figure are equal to each other .

the permiter is the sum of the sides

The figure has 8 sides.

● P = 8 × 2

● P = 16

Other Questions
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