factorise 2x^2 -x-21​

Answers

Answer 1

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)


Related Questions

Aramis showed the division of 6p2 + 9p + 3 by 3p. A + 3 + B What are the values of A and B? A = 2p and B = p A = 3p and B = p A = and B = A = 2p and B =

Answers

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

To divide this,

we first see how many times 3p will go into 6p².

 [tex]\frac{6p^2}{3p} = 2p[/tex]

It will go in 2p times; this goes up top of the problem.

Multiplying back through, we have

[tex]2p*3p = 6p^2[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^2-6p^2= 0.[/tex]

 This cancels.  Bring down the next term, 9p.

See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]

it goes in 3 times.  This goes up top, beside the 2p.  We separate them with a +, since the 3 is positive.

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

[tex]2p + 3 + \frac{3}{3p}[/tex]

The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;

this gives us

[tex]2p + 3 + \frac{1}{p}[/tex]

Therefore, the answer is  A = 2p and B = 1/p

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

cos X +1 / cos X=40, find the value of cos square X +1/ cos square X

Answers

This is pseudo-trig.  It has a trig function but it's irrelevant.

Let y = cos X

y + 1/y = 40

Squaring,

y² + 2(y)(1/y) + 1/y² = 1600

y² + 2 + 1/y² = 1600

y² + 1/y² = 1598

cos² X + 1/cos²X = 1598

Answer: 1598

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.

x² - 12x + 36

First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.

(x - )(x - )

Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.

(x - 6)(x - 6)

So, the side length of the square is (x - 6) meters.

Having problems with this

Answers

Answer:

45

Step-by-step explanation:

Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45

Answer:

45°

Step-by-step explanation:

Corresponding angles are equal. ∠4 and ∠2 are equal.

[tex]x+30=2x+15[/tex]

Add -x and -15 on both sides of the equation.

[tex]30-15=2x-x[/tex]

[tex]15=1x[/tex]

∠4 = x+30

Put x as 15 in the equation.

[tex](15)+30[/tex]

[tex]=45[/tex]

To make 100g of jam you need 19g of strawberries , 53g of blackberries and the rest should be sugar. what is the ratio of blackberries to sugar? give answer in simplest form.​

Answers

Answer:

53:19:28

Step-by-step explanation:

Answer:

53:28

Step-by-step explanation:

the mass of sugar= 100-(53+19)

=100-72

=28g

therefore: ratio of blackberries to sugar is

=53g/28g

=53:28

A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour

Answers

Answer:

Bison, by 10 mph

Step-by-step explanation:

Convert ft/min to mi/hr.

3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr

The bison is faster than the deer by 10 mph.

which function below is the inverse of f(x)= 7x-1/2

Answers

Answer: [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex]

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore, [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex].

Hope that helped,

-sirswagger21

A pump empties the pool at the rate of 1,000 gal every 4 hours. how long does it take to pump out 20,000 gallons?​

Answers

Answer:

80 hours

Step-by-step explanation:

We can use ratios to solve

1000 gal        20000

-------------- = ------------------

4 hours          x hours

Using cross products

1000x = 4*20000

1000x = 80000

Divide each side by 1000

x = 80000/1000

x = 80

80 hours

Which is equivalent to 64 Superscript one-fourth?

Answers

Step-by-step explanation:

Info : 2^(6)=64

then

64^(1÷4) = (2^(6))^(1÷4)

              =2^(6÷4)

              =2^(3÷2)

              =2√(2)

              =2.828427124746

Answer:

2√2

Step-by-step explanation:

edge 2020

Sean has some candy bars that he wants to give away. He is going to give each person \dfrac18 8 1 ​ start fraction, 1, divided by, 8, end fraction of a bar, and he has 2\dfrac342 4 3 ​ 2, start fraction, 3, divided by, 4, end fraction bars to give away. How many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

[tex]\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22[/tex]

22 people can get candy.

Answer:

22 people will get candy

Step-by-step explanation:

it's correct because I got it from khan academy

How do you solve the inequality 2x-3<-52x−3<−5

Answers

Answer:

Idk it really hard to do

1/3 of the members Voted know what fraction of the members did not know

Answers

Answer:

2/3 did not vote no

Step-by-step explanation:

1/3 voted no

The total is 1

1 - 1/3

3/3 -1/3

2/3 did not vote no

what is the sum of (-2.1×+3.7) and (5 + 4.9×)

Answers

2.8x+8.7

Step-by-step explanation:

-2.1x+3.7+5+4.9x

=2.8x+8.7

Calcula: t15 + t25 Si se sabe que: 26; 31; 36; 41; …

Answers

Answer:

242

Step-by-step explanation:

Here, we want to calculate t15 + t25

Mathematically, nth term is

a + (n-1)d

here, a = 26 and d = 31-26 = 5

t15 = 26 + (15-1)5

t15 = 26 + 70

t15 = 96

t25 = 26 + (25-1)5

t25 = 26 + 120

t25 = 146

t15 + t25 = 96 + 146 = 242

You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?

Answers

Answer:

you have 33 cans and so you have completed 166% of your goal

Step-by-step explanation:

I dont know

166 percent of the goal person as collected the cans.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, a goal to collect 50 cans for a food drive.

Person as collected 83 cans.

Here, x% of 50 =83

x/100 ×50 =83 (word "of" means multiplication)

x/2 =83

x=166 (Transpose 2 to RHS of the equation)

So, x=166%

Therefore, 166% of the goal person as collected the cans.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

I need help ASAP I shall give brainlyist (idk how to spell)

Answers

Answer: 5 cm



Explanation: The formula for the volume of a cylinder is pi (3.14 here) * r^2 * 3

Thus, we have 235.5=3.14r^2*3

Dividing both sides by 3 leaves us with 78.5=3.14r^2

Dividing both sides by 3.14 gives us 25=r^2

To solve the equation, we take the sqrt of both sides and we find that r is 5 cm.

Answer:

[tex]5cm[/tex]

Step-by-step explanation:

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{225.5}{\pi *3} } \\=5cm[/tex]

*
1. Find the measure of the indicated angle to the nearest degree.
?
O A. 31
O B. 51°
O C.37°
O D. 59°

Answers

Answer:

The answer is 37° (C)

Step-by-step explanation:

Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers

Answers

The answer is 3 that’s not rug I recalling don’t no the answer

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

(-2,0.5)

Step-by-step explanation:

1st set of Point=(-5,-2)

2nd set  of Point=(1,3)

Midpoint=(X1+X2/2 , Y1+Y2/2)

=(-5+1/2 , -2+3/2)

=(-2,0.5)

Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimate Jeremy's acceleration at t = 10s to 1 decimal place. b) Estimate his average speed for this part of the jump. Give your answer to two significant figures.

Answers

Answer:

Jeremy's acceleration is about [tex]1\,\frac{m}{s^2}[/tex]  at t =10 s

His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)

His average speed is about 46 m/s if using the tangent line (over estimate)

Step-by-step explanation:

Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.

These points are : (6, 42) and (14,50) which using the slope formula give:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}[/tex]

So his acceleration at that point is about [tex]1\,\frac{m}{s^2}[/tex]

Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since  the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:

[tex]v_{average}=\frac{area}{interval\,\,length}[/tex]

and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.

The area of this trapezoid is: approximately:

[tex]Trapezoid\,\, area=(49+40)\,8/2=356[/tex]

Then the average velocity estimated from it is:

[tex]v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}[/tex]

If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):

[tex]Trapezoid\,\, area=(50+42)\,8/2=368[/tex]

Then the average velocity estimated from it is:

[tex]v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}[/tex]

while his actual instantaneous velocity seems to be about 46 m/s from the graph

Answer:

a) 1.0

b) s=45

Step-by-step explanation:

I need help with this ASAP, please thank you

Answers

Answer:

Option A is the correct answer.

Step-by-step explanation:

Line is passing through the point[tex] (2, - 6) = (x_1, \: y_1) [/tex] and its slope is - 3.

Equation of line in slope point form is given as:

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

\therefore y-(-6) = - 3(x-2) \\

\huge \red {\boxed {\therefore y + 6 = - 3(x-2)}} \\[/tex]

Answer: A

Step-by-step explanation:

Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).

y - y1 = m(x - x1)

y - (-6) = -3(x - (2))

y + 6 = -3(x - 2)

find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis​

Answers

Answer:  C

Step-by-step explanation:

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)

J = (0, 0) is 1 unit to the right of x = -1

J' = (-2, 0) is 1 unit to the left of x = -1

K = (1, 4) is 2 units to the right of x = -1

K' = (-3, 4) is 2 units to the left of x = -1

L = (3, 3) is 4 units to the right of x = -1

L' = (-5, 3) is 4 units to the left of x = -1

Reflection across x-axis

Change the sign of the y-value:  (x, y) → (x, -y)

J' = (-2, 0)           J'' = (-2, 0)

K' = (-3, 4)           K'' = (-3, -4)  

L' = (-5, 3)            L' = (-5, -3)

If angle P= 50 then angle R=

Answers

Answer:

it matters what the whole angles is.

Step-by-step explanation:

for example if it's a 180 degree angle P=50 then R would equal to 130 degrees

second example if P=50 and it's a 90 degree angle R=40

For anyone on OW, it's 130.

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?

Answers

Answer:

15 weeks

The amount of money is  270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

Answer:

15 weeks

$270

Steps:

1: 60+14x=120+10x

2: 4x=60

3: x=15 weeks

4: Amount= 60+14*15= $270

Description:

The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x  as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.

Please mark brainliest

Hope this helps.

What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2 ? A. (0, 0) B. (1, –3) C. (2, –6) D. (4, –12)

Answers

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. What is the denominator of the original fraction? URGENT!

Answers

Answer:

14

Step-by-step explanation:

Let the original denominator be 2x.

The original numerator is x.

The original fraction is x/(2x).

The numerator is increased by 2, and the denominator is decreased by 2.

The new fraction is (x + 2)/(2x - 2).

The new fraction equals 3/4.

(x + 2)/(2x - 2) = 3/4

Cross multiply.

4(x + 2) = 3(2x - 2)

4x + 8 = 6x - 6

-2x = -14

x = 7

The original numerator was 7.

2x = 2(7) = 14

The original denominator was 14.

The following data shows prices of meal options at Bob's Burgers. Bob
wants to construct a histogram from this graph. Prices of Meal Options at
Bob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,
$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals could
belong in the interval $10.99 - $13.99? *

Answers

Answer:

Step-by-step explanation:

The number of meals that could

belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are

$11, $11, $12,$12, $13, $13, $13,$13

The frequency is 8

Therefore, 8 meals could

belong in the interval $10.99 - $13.99

NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4

Answers

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

what is the value of the expression why y=2

Answers

Answer:

Where’s the problem

Step-by-step explanation:

Other Questions
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