Factorise the following expressions​.

Factorise The Following Expressions.

Answers

Answer 1

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)


Related Questions

Someone pleaseee help it should be easy!!!!

Answers

Answer:

5

Step-by-step explanation:

First,let find the area of AMY. It is given that

Am=5

MY=7

AY=3

We can add up those numbers to find the perimeter.

5+7+3=15.

2. Since AMY and MEG are similar shapes, there side lengths are proportional, and their perimeter is also proportional.

The only transformation that can accomplish that is a dilation.

MEG is a dilation of AMY by 1/3. so that means MEG is 3 times smaller than AMY.

We would just divide 3 by the perimeter of AMY to find MEG.

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

1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly
budget. Andre divided his income into five categories and created the following circle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other, 22%
Rent
33%
Savings
25%
Groceries,
12%
Utilitites
8%
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on and
utilities. Andre is looking at two apartments: Apartment 1 and Apartment 2. Apartment 1 costs $1100
per month, plus $250 for utilities. Apartment 2 costs $1350 per month, plus $100 for utilities. Which
apartment should Andre choose?
(b) Explain your reasoning in a minimum of 3 sentences or more.
Answer:

Answers

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

Andre would choose apartment 1 because its cost of rent and utilities is less than the budgeted costs of rent and utilities

A pie chart is shows information in a circle. The sum of angles in a pie chart is 360 degrees and the sum of percentages is 100.  

The first step is to determine the total amount Andre can spend on rent according to the budget.

Total amount of budget = percentage of budget to be spent on rent x total income

33% x $4000

= 0.33 x $4000 = $1320

The second step is to determine the total amount of the budget that would be spent on utilities

Total amount to be spent on utilities = percentage of utilities  x total income

8% x $4000

0.08 x $4000 = $320

The cost of rent and utilities of apartment 1 is less than the cost of the budgeted cost. While the cost of rent of apartment 2 is greater than the budgeted rent and its utilities is less than the  and the budget for utilities. This makes Apartment 1 more appropriate.

To learn more about pie charts, please check: https://brainly.com/question/5870339?referrer=searchResults

Solve for x
x^2+ 6x + 9 = 12

Answers

Answer:

x=−3+2√3 or x=−3−2√3

Step-by-step explanation:

How many miles are in 3227 feet? (1 foot=5280 miles) Round to the nearest tenth.

Answers

0.6111742 Miles

Please Mark Brainliest!

Answer:

.6

Step-by-step explanation:

will technically there is 0.6111742 in a 3227 because you divide 3227 by 5280

Simplify. Write the answer as a decimal.

Answers

Answer:

what are we simplifying

If a=-3, then - (a4) =
A -12
B 81
C-81
D 12

Answers

Answer is D. 12 the negative makes the -3 a positive 3 and then you just multiply 3 and 4 which is 12

the sum of three consecutive integers is -51 what is the value of the smallest number

Answers

Answer: Let's say the first number is x, the next one is x+1, and so on

Step-by-step explanation:

x + (x + 1) + (x + 2) = -51

x + x + 1 + x + 2 = -51

3x + 3 = -51

3x = -54

x = -18

Can someone help please!! Thank you

Answers

2nd answer (not similar, sides are not proportional)

2. Ava bought a new computer and is now
$249 in debt. How much money does Ava have? (-$249)
What does $0 represent in this problem?

Answers

Answer:

Ava has 0 dollars and zero represents the money she has.

Step-by-step explanation:

After completing this activity, what is your initial explanation of how the populations of predators and prey are related?

Answers

Step-by-step explanation:

prey and predators depends in each other .in the absence of one another is useless or meaning less. predators is responsible for population of prey.if less predators more prey and more predators means less prey.

Answer:

they both eat food

Step-by-step explanation:

Corresponding Angles are congruent.
Which angle corresponds with 4 3?
em
41 42
43 44
«[?]
448
56

Answers

Answer:it’s 5 trust

Step-by-step explanation:

A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner charges for 4 hours of work?

Answers

$63. 1.5 hrs
$x. 4 hrs

63/x=1.5/4

x=63•4/1.5
x=252/1.5
x=168$

A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980

Answers

Answer:B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Trevor was paid $960 last week for working 40hours. What is Trevor's hourly pay rate before taxes?

Answers

He gets paid 24 dollars an hour 960/40=24

Answer:

He gets paid 24 dollars an hour 960/40=24

If you jog 8 times around a track that is 600 meters long, how many kilometers have you covered?

Answers

Answer:

0.6 km

Step-by-step explanation:

If If you jog 8 times around a track that is 600 meters long, then 4.8  kilometers you  have covered

What is Unit of Measurement?

A Unit of measure is the actual unit in which the associated values are measured.

Given,

If you jog 8 times around a track that is 600 meters long,

We need to find how many kilometers you have covered.

8 times around a track that is 600

It means we have to multiply eight with six hundred.

8×600

=4800

We know that 1 km is 1000 m

So divide 4800 by 1000 to find in kilometers

4800/1000=4.8km

Hence If you jog 8 times around a track that is 600 meters long, Then 4.8  Kilometers you have covered.

To learn more on Units of measurement click:

https://brainly.com/question/15402847

#SPJ2

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment.

Required:
Construct and interpret a 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no-kelp treatment.

Answers

Answer:

The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Step-by-step explanation:

The given data are;

The number of the group 1 plants that exhibited damage = 12

The number of plants in group 1, n₁ = 50

The number of the group 2 plants that exhibited damage = 18

The number of plants in group 2, n₂ = 50

The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24

The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36

The z-value at 95% = 1.64

The confidence interval is given by the following formula;

[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]

Plugging in the values, we get;

[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]

Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes a 45 degree angle with the ground.



How high is the kite?

Answers

Answer:

the Hight of kite is =12×sin45

therefore,8.5 feet

find the missing height.

Answers

Answer:

h = 12 units

Step-by-step explanation:

Area of parallelogram  = 84 square units

Height = area ÷ base

  h   = 84 ÷ 6

h = 12 units

Find the value of x.
(13x+12)
129
X=

PLSS HELP

Answers

Answer:

The value of x would equal 9

Step-by-step explanation:

129 - 12 = 117

117/13 = 9

X=9. because if you subtract 12 from 129 you get 117 and then divide 117/13 and you get 9

please help me with this :)

Answers

Answer:

A

Step-by-step explanation:

Answer:

just use photo math on your phone or tablet bro

Step-by-step explanation:

download it on the app store

Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

x= 23.0 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Calculate cose to two decimal places.

Answers

Answer: its b

Step-by-step explanation:

Your answer would be B

Solve for x. Round your answer to the nearest tenth

Answers

[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard deviation of .4 billion years. (Their ages are approximately normally distributed.) You think the mean age is actually greater, and that this would lend support to an alternative theory about how the clusters were formed. You use a computer to randomly select the coordinates of 50 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.4 billion years.

Answers

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

Lets [tex]\mu[/tex] in trillions of years be the maximum likelihood age of galaxies in a certain type of star cluster.

Calculating the Hypotheses:

Null hypothesis value:[tex]H_o : \mu = 3.3[/tex]

Alternative hypothesis value: [tex]H_A : \mu > 3.3[/tex]

plz help me with this

Answers

Answer:

11 shots

Step-by-step explanation:

60% of 18 = 10.8

10.8 rounded = 11

Why we did this:

Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.

The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.


Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which
of these is a reasonable estimate for how much more nuts Miguel uses than raisins?



HELP FAST

Answers

It doesn’t show which options?
But the difference would be 2 7/12 or 2.58

What is the area of 54 ft

Answers

Answer:Surface Area = 6×542 = 17496 feet2

Step-by-step explanation:

Can you help me please here is the image

Answers

Answer:

its c

i think

Step-by-step explanation:

I’m not sure, maybe C
I hope you get it right :)
Have a good day

What are the x-intercepts of the function f(x) = -2x2 – 3x + 20?
OAC) and (4,0)
O B.(-2, 0) and (5,0)
O C.(-4,
* (-4, 0) and (0)
O D.(-5,0) and (2.0)

Answers

Answer:

the interception of the function will be equals -2x+5 And x-4

I guess

1. Find the measure of the given angle.
156°
L
N
?
M
124

Answers

Answer:

40°

Step-by-step explanation:

360-156-124=80

80/2=40

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