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2 years ago

Simplify. (4w + 3) – 2w + 7

Mathematics

2 answers:

maks197457 [2]2 years ago

8 0

Answer:

2w+10

Step-by-step explanation:

lawyer [7]2 years ago

3 0

Answer:

ghfc

Step-by-step explanation:

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If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²

astra-53 [7]

Answer:

Length of the rectangle =25

width of the rectangle = 20

Step-by-step explanation:

Step(i):-

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

Step(ii):-

Area of the rectangle = length × width

500 = x ( x+5)

x² + 5 x = 500

⇒ x² + 5 x - 500 =0

⇒ x² +25x - 20 x - 500 =0

⇒ x( x+25) -20(x+25) =0

⇒ (x-20)(x+25) =0

⇒ x =20 and x=-25

we can choose x =20

Step(iii):-

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle = 20

Final answer:-

Length of the rectangle =25

width of the rectangle = 20

3 0

2 years ago

Please help!! Will mark Brainiest

mixas84 [53]

Answer:

Step-by-step explanation:

If you rearrange the equation in b, you get

y=5(x-3)+15

This means that your f(1) is equal to f(3), or 15, and for each additional month, it increases by 5, which is what the table shows.

4 0

2 years ago

I'll mark brainliest and thank profile, just need help.

RideAnS [48]

Answer:

The equation of the regression line for the following data is:

y=2.4x+120.1

Step-by-step explanation:

We are given a set of data values in table form as:

Day(x) Number of visitors(y)

1 120

2 124

3 130

4 131

5 135

6 132

7 135

Hence, when we draw a scatter plot with the help of these data points using the linear regression calculator we see that the regression line is a line with y-intercept as (0,120.1) and x-intercept as (-50.04,0)

Hence, the regression line for the following data is:

y=2.4x+120.1

8 0

2 years ago

Read 2 more answers

Expand the following:3/4(-24x-16)

Illusion [34]

Answer:

-18x-12

Step-by-step explanation:

3/4(-24x-16)=-18x-12

4 0

2 years ago

Plssss help in need of answers soon

vfiekz [6]

My guess is that you're doing the Law of Cosines? You have everything you need for that except the angle theta, which is the thing you need to find. It's set up like this: (8)^2 = (10)^2 + (5)^2 -[2(10)(5)cos A] I used A instead of theta. Doing that math, you have: 64 = 100 + 25 -[ 100 cos A]; 64 = 125 - 100 cos A;
-61 = - 100 cos A; -61 / -100 = cos A; .61 = cos A. Now use your inverse function on your calculator to find cos^-1(.61) and that equals 52.4

5 0

2 years ago

Read 2 more answers