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3 years ago

Answer this and I’ll make you Brainly!!!!

Mathematics

1 answer:

OLga [1]3 years ago

8 0

Answer:

f(x) = 8x + 2

Step-by-step explanation:

An easy way to test what the function is, is to fill in x wiht one of the imputs, lets try two of the options, 0 and then -4

If we fill in the x as 0 we have

8(0) +2 = 2 (Put it into the equation equal to the output) Now simplify

0+2=2 Anything times 0 is 0, now wehave

2 = 2 This proves that the equation is correct

If we tried it with -4 we would also see it is correct

8(-4) +2 = -30 First multiply the -4 and 8 because of PEMDAS

-32 + 2 = -30 Now simplify

-30 = -30 This proves that the equation works, if you had tried one of the other equations they wouldn't have been equal if you had only used the f(x) = 8x with the 0 it wouldn't have worked

8(0) = 2

0 ≠ 2

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UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

docker41 [41]

The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

<h3>How to calculate the volume?</h3>

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

Learn more about volume on:

brainly.com/question/1972490

5 0

2 years ago

A pineaple is 7 times heavy as an orange. The pineaple also weighs 870 grams more than the orange.

Lisa [10]

Answer:

1060 grams

Step-by-step explanation:

let the weight of the orange be x, then

pineapple weighs 7x, and also x + 870

equating the 2 expressions for the weight of the pineapple

7x = x + 870 ( subtract x from both sides )

6x = 870 ( divide both sides by 6 )

x = 145

The orange weighs 145 grams and the pineapple 145 + 870 = 1015 grams

Total weight of both = 145 + 1015 = 1060 grams

3 0

3 years ago

What is the value of x that makes l1||l2

Sholpan [36]

Answer: 10

Step-by-step explanation:

By the alternate interior angles theorem,

$4x=2x+20\\2x=20\\x=10$

3 0

2 years ago

Which Expression can be used to solve 3/5÷7/10A. 5/3*7/10B. 5/3*10/7C. 3/5*10/7D. 3/5*7/10

Harrizon [31]

Which Expression can be used to solve 3/5÷7/10

A. 5/3*7/10

B. 5/3*10/7

C. 3/5*10/7

D. 3/5*7/10

This expression 3/5÷7/10 means

An option to solve the expression is inverting the fraction that is dividing and going to multiply

3/5 x 10/7 C.

________________-

Verification

A and D are the same

6 0

1 year ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given points. (x2 + y2)2 = 3x2y − y3;

Andrew [12]

Answer:

a. $y+1=0$

b. $2x+4y=1$

Step-by-step explanation:

We are given that

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

a.(0,-1)

Differentiate w.r.t x

$2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'$ .....(1)

Substitute x=0 and y=-1 in equation (1)

$2(0+1)(-2y')=-3y'$

$-4y'+3y'=0$

$-y'=0$

$y'=0$

$m=y'=0$

Point-slope form:

$y-y_0=m(x-x_0)$

Using the formula

$y+1=0$

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

$2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'$

$2(2/4)(-1+y')=-3/2+3/4y'-3/4y'$

$-1+y'=-3/2$

$y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}$

$m=y'=-1/2$

Again using point-slope formula

$y-1/2=-1/2(x+1/2)$

$\frac{2y-1}{2}=-\frac{1}{4}(2x+1)$

$2y-1=-\frac{1}{2}(2x+1)$

$4y-2=-2x-1$

$2x+4y=2-1$

$2x+4y=1$

5 0

3 years ago