PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7

Answers

Answer 1

Answer:

Using the mid-term break formula for all of them.

a) x²+7x+12

= x²+3x+4x+12

= x(x+3)+4(x+3)

= (x+4)(x+3)

b) x²+6x+8

= x²+2x+4x+8

= x(x+2)+4(x+2)

= (x+4)(x+2)

c) x²+5x+6

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x=3)(x+2)

d) x²+8x+7

= x²+7x+x+7

= x(x+7)+1(x+7)

= (x+1)(x+7)

Answer 2

Answer:

a) the middle number is seven and the last number is 12

factorising means we want something like (x + ___) (x +__)

Which number go into the blanks?

we need 2 numbers that add together to get 7 multiplied together to get 12.

3 + 4 is equal to 7

3x4=12

Answer:

(x+3)(x+4)

b) the middle number is 6 and the last number is 8

Factoring means we want something like

(x+___)(x+___)

which number go to the blanks?

We need two numbers that add together to get 6 and multiply together to get 8

2+4=6

2x4=8

Answer:

(x+2)(x+4)

c) the middle number is 5 and the last number is 6

we need two numbers that add together to get 5 and multiply together to get 6

2 + 3 is 5 and 2 x 3=6

Answer:

(x+2)(x+3)

Answer:

d) (x+1)(x+7)


Related Questions

If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be

Answers

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

(-2,-1) is a solution of the equation 4x + 5y = -13.

Answers

Answer:

true

Step-by-step explanation:

4x + 5y = -13.

Substitute the point in

4(-2) + 5(-1) = -13

-8+-5 = -13

-13 = -13

This is true so the point is a solution

to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for every 12 drops of red food coloring. If she adds 32 drops of yellow food coloring to her frosting, how many drops of red food coloring should she add?

Answers

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.

ii) The size of angle p+q+r =

Answers

If the two lines are parallel and a straight line is between them and one side of the straight line is 135 degrees then the other side will be 180-135=45

Which of the following is an equation of a line parallel to the equation y=4x+1?

Answers

The answer would be B. y = 4x - 2
The answer to your question is b
.....

Olive's Pizza Kitchen has a new oven that is shaped like a rectangular prism. Inside, the oven is 5 feet wide and 5 feet deep so it can bake their super large pizzas. It is also 3 feet high. What is the oven's volume?

Answers

Answer:

The volume of the oven is 75 ft^3

Step-by-step explanation:

Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.

Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.

Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2

Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3

1/2(12k-6) i don't know what this answer is!!!

Answers

Answer:

6k-3 or 3(2k-1)

Step-by-step explanation:

First, you need to multiply 1/2 by both the numbers in the parentheses

1/2(12k-6)=

(1/2)(12k)+(1/2)(-6)

Then, you need to simplify your answer

6k-3

*If needed, you can simplify further by taking out a factor of 3

3(2k-1)

Answer:

[tex]3(2k-1)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}(12k-6)[/tex]

Expand the bracket by multiplying by 1/2:

[tex]6k-3[/tex]

Simplify further by taking out a factor of 3:

[tex]3(2k-1)[/tex]

1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *

A. {0,7,9,17}
B. {0,1,4,8}

2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *

A.{0,7,9,17}
B.{0,1,4,8}

Answers

Answer:A

Step-by-step explanation:  The range are all othe y values (the outputs) in chronological order

Plzzzzzz answer fast I need help

Answers

Answer:2,3,4

Step-by-step explanation:

factorise: 2x + 6y 2x-4 t + 2t squared

Answers

First collect the like terms. 4x+6y-4t+2t^2. The U can the 2 out from the equation. Which would give the answer. 2(2x+3y-2t+t^2

a factor of 30 is chosen at random, what is the probability that the number has 2 digits?

Answers

Answer:

3/8

Step-by-step explanation:

Let's first start by figuring out all the factors of 30.

They are as follows: 1, 2, 3, 5, 6, 10, 15, 30

30 has 8 factors in total.

3 of the factors have 2 digits.

Probability is number of desired outcomes/number of total outcomes.

We have 3 desired outcomes and 8 total outcomes.

Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.

I need assistance :D, Instructions: Using the image, find the distance between the points given on the graph.

Answers

Answer:

Step-by-step explanation:

You have to use the distance formula to find that distance.  The formula is:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:

[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]

which simplifies to

[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is

[tex]d=\sqrt{17}[/tex] ≈ 4.123 units

A ball is being inflated at a rate that can be modeled by the function V(t) = 10t, where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r(V)=^3√3V/4pi.

Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?

Answers

Answer:

Correct option: second one

Step-by-step explanation:

To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).

[tex]V(t) = 10t[/tex]

[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]

[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]

Correct option: second one

Answer:BBBBBBBBB

Step-by-step explanation:

Can someone help me simplify these expressions

Answers

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Solve for x in the equation x squared minus 12 x + 59 = 0.

Answers

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6

Answers

Answer: 1/2

Do you need working out?

Figure FGHJ was dilated by a scale factor of k centered at point H, as shown. What is the value of k?

Answers

Answer:

2

Step-by-step explanation:

just see the slope of FG

from F to G is 5 to the right and 1 goes up.

then, see the F'G' slope

its 10 to the right and 2 goes up

it TWICE

The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.

Answers

Answer:

Step-by-step explanation:

30 mm = 3 cm

[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]

Answer:

h = 15 cm

Step-by-step explanation:

V = l×w×h

h = V/l×w

= 675cm³/15cm×3cm

= 675cm³/45cm²

= 15 cm

Use Venn diagram notations to describe the shading of

Answers

Answer:

A intersection B or A Π B

Step-by-step explanation:

The intersection of A and B is the set of all those elements which belong to both A and B.

In given Venn diagram describe the shading region is A intersection B or A ∩ B

What is Venn diagram?

A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.

According to the question

The intersection of A and B is the set of all those elements which belong to both A and B.

Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B

To learn more about Venn diagram from here https://brainly.in/question/9613505

#SPJ2

find the mean deviation of the following set of numbers: 10,12,14,15, 17 and 19
(A). 2.5
(B). 2.6
(C). 2.7
(D). 2.8​

Answers

Answer:

2.5

Step-by-step explanation:

I'm sorry I don't know how to explain it but I'm pretty sure the answer is a. 2.5

NEED ANSWERS QUICK, I WILL GIVE BRAINLIEST 1.According to the following image, what is the length of
AB, 2. solve for X

Answers

Answer:

the length of ab is 8

x=3

Step-by-step explanation:

-4/5 x 6/7

dont look it up bc they only give the big answers

Answers

Answer:

[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]

Step-by-step explanation:

It's just like regular multiplication:

[tex]\frac{Numerator}{Denominator}[/tex]

Numerator:

-4 × 6 = -24

Denominator:

-5 × 7 = -35

Just look below. That is the best of my abilities

20 Points + Satisfaction of helping someone for this answer

Answers

Hi I am just doing this for the app

PLEASE ANSWR ASAP FOR BRAINLIEST!!!!

Answers

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box

Answers

Answer: 216 square inches of wrapping paper

==========================================================

Work Shown:

x = side length of cube = 6 inches

SA = surface area of cube

SA = 6x^2

SA = 6*6^2

SA = 6*36

SA = 216 square inches

------------

side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area

SA = 2*(L*W+L*H+W*H)

where L,W,H are the length, width and height respectively.

Please help asap!!
Graph (x, y): x + 2y 6

Answers

The answer is (, )=(6−2, )

What is 8*4 equal to

Answers

Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

hanako goes to the movies with 2 friends.
They each buy a movie ticket. They will share
a large popcorn for $8. They spend a total of
$38. What is the price of 1 movie ticket?

Answers

wouldnt a movie ticket cost 10? since popcorn is 8, and there’s three people including hanako, so 10 10 10 plus the 8 from the popcorn ?

I will give you brainliest !!! The graph of y=8x+7 is:

Answers

Answer:

C

Step-by-step explanation:

A line that shows all solutions

what is circular test track

Answers

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation:

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