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4 years ago

??math question?? graph

Mathematics

2 answers:

Dima020 [189]4 years ago

8 0

The slope is \frac{5}{2} and the y intercept is -1

so the equation is y = \frac{5}{2} x-1

frutty [35]4 years ago

4 0

The slope is $\frac{5}{2}$ and the y intercept is -1
so the equation is y = $\frac{5}{2}$ x-1

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A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

Given the following data:

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

3 years ago

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without re

butalik [34]

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

3 0

3 years ago

Can someone please help me please I really need help please answer it correctly

kvv77 [185]

Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

Total charge will be:

y = 13x + 47

<h3>Chad's Flowers</h3>

Total charge will be:

y = 17x + 35

Since the total charge is same in both shops, we have:

13x + 47 = 17x + 35

Solve for x:

17x - 13x = 47 - 35
4x = 12
x = 3

Total cost is:

13*3 + 47 = 39 + 47 = 86

Small arrangements = 3, cost = $86

7 0

3 years ago

The figure below is a parallelogram. AB = 5 cm and BC = 3 cm. Find angle ABC

Gre4nikov [31]

Step-by-step explanation:

her it go u can see it.. have a nice Day

5 0

3 years ago

For which pairs of functions is (fog)(x)=12x?

KengaRu [80]

Last one
f(x) = 4x and g(x) = 3x
 (fog)(x)
you need take value of g(x), 3x, and put 3x instead of x in f(x) function
(fog)(x)=4*(3x)=12x

6 0

3 years ago

Read 2 more answers