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Answer: (a)

Step-by-step explanation:

Given

The given graph is y=-2x+6 and it changed to y=3x+2

The slope of the graph determines the steepness

Slope changes from -2 to 3. So, latter graph is more steeper.

Also, y intercept is obtained by putting x as 0

Y intercept changes from 6 to 2 i.e. decrease of 4 units

Hence, option (a) is correct.

Answer:

Statement 4 is true.

Step-by-step explanation:

- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.

- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.

- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.

- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

Answer:

20

Step-by-step explanation:

I'm pretty sure u chose all the ones with - in it

Answer:

256 ft

Step-by-step explanation:

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Answer: [tex]93,\ 34^{\circ}[/tex]

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]

For figure (ii)

Two triangles WXZ and WZY are congruent

[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]

Answer:

£56.25

Step-by-step explanation:

Number of guest = 57

The 20cm cake :

Can serve 12 people and cost £13.50

The 25cm cake :

Can serve 20 people and cost £18.75

Since the cake has to be the same size, the only one particular size would have to be purchased ;

For the 20cm cake ; 57/12 = 4.75 = five 20cm cakes ;

£13.50 * 5 = £67.50

For 25cm cake ; 57 / 20 = 2.85 = three 25cm cakes

£18.75 * 3 = £56.25

£56.25 is lower ; hence, amount he'll have to pay is £56.25

Answer:

[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]

Step-by-step explanation:

Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].

(a) After 1 year, [tex]n=1[/tex]:

[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]

(b) After 2 years, [tex]n=2[/tex]:

[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]

Answer:

x=35 this is your answer

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

Answer:

this problem has no solution

Step-by-step explanation:

first of all, expand

[tex]6x + 10 = 10x - 20 - 4x[/tex]

Then, simplify 10x - 20 - 4x to 6x - 20

[tex]6x + 10 = 6x - 20[/tex]

then, cancle 6x on both sides.

[tex]10 = - 20[/tex]

and since 10 = -20 is false, there's no sulotion.

[tex]no \: solution[/tex]

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

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

x−5

Factor the numerator

(x-5)(x+2)

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

x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2  and letting x = 5

f(5) = 5+2

The hole is at (5,7)

Answer:

The answer would be the third one.

Answer:

Step-by-step explanation:

height of a triangle=4x-1

base=5x+2x-3

=7x-2

area of triangle=base*height/2

=(7x-2)(2x-3)/2

=7x*2x-7x*3-2*2x+2*3/2

=14x^2+21x-4x-6/2

=14^2+17x-6/2

area of rectangle=l*b

(7x-2)(4x+1)

7x(4x+1)-2(4x+1)

4x*7x+7x*1-2*4x-2*1

=28x^2+7x-8x-2

=28x^2-x-2

area of shaded part=area of rectangle-area of triangle

=[tex](28x^2-x-2 )-\frac{14x^2+17x-6}{2}[/tex]

Answer:

A number we don't know

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ5

Answer:

It is true

Step-by-step explanation:

Hopes this help

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

The sample will be biased.

What is bias?

Bias is a disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief. In science and engineering, a bias is a systematic error.

Here, we have,

John wants to know his class’s favourite TV show, so he surveys all of the boys.

now, we get,

The sample will be biased.

to learn more on bias click:

brainly.com/question/28748065

#SPJ2

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Answer:

The slope is 3/2 and a point on the line is (-7,-4)

Step-by-step explanation:

Point slope form of a line is

y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y+4=-3/2(x+7)

y - -4 = 3/2 ( x - -7)

The slope is 3/2 and a point on the line is (-7,-4)