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3 years ago

What is the slope of the following line: y=3x−7

Mathematics

2 answers:

SashulF [63]3 years ago

6 0

Slope=3 y=(0,-7) those are the right answers or said I needed more words so

Pavlova-9 [17]3 years ago

3 0

Answer:

The slope is 3

Step-by-step explanation:

You might be interested in

Use the Distributive Property to express 24 + 40.

timurjin [86]

Answer:

4(6+10)

Step-by-step explanation:

4×6=24

4×10=40

5 0

3 years ago

There are 3 types of gummy bears:

mr Goodwill [35]

Using proportions, it is found that it takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

10 mini-bears weights to 12.1 grams, hence the weight of a mini-bear is of:

12.1/10 = 1.21 grams.

10 regular bears weights to 23.1 grams, hence the weight of a regular bear is of:

23.1/10 = 2.31 grams.

1 super bear weights to 2250 grams, hence the proportion between the weight of a super bear and the weight of a mini-bear is:

2250/1.21 = 1860.

The proportion between the weight of a super bear and the weight of a regular bear is:

2250/2.31 = 974.

The difference of proportions is given by:

1860 - 974 = 886.

It takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

1 year ago

This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and

kari74 [83]

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

The surface area of cylinder is given by formula:

$A = 2 \pi r(h+r)$

Where "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

$A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81$

Thus 208.81 square centimeters of aluminium are needed

8 0

3 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

Factor Theorem

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres.

34kurt

volume cylinder

=3.14×2^2×5

=62.8 cubic inches

volume sphere

=4/3×3.14×2^3

=33.49

difference between cylinder and sphere

=62.8-33.49

=29.31 cubic sphere

8 0

3 years ago