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2 years ago

Consider the polynomial equation x(x - 3)(x + 6) (x-7) -0. Which of the following are zoros of the

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

4 0

Answer:

The zeros are : 0, 3, -6, 7.

Step-by-step explanation:

Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.

When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.

Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0

⇒ To make the equation zero, at least one of the following should be true:

x = 0

x - 3 = 0 ⇒ x = 3

x + 6 = 0 ⇒ x = -6

x - 7 = 0 ⇒ x = 7

Therefore, x can take any one of the above values and that would make the polynomial zero.

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What is 4/3 plus 3/4

skelet666 [1.2K]

4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25

7 0

2 years ago

Read 2 more answers

Write the equation in vertext form<br><br> Vertex: (3,6) ; y-intercept: 2

olganol [36]

Y= a(x-3)^2+6
2= a(0-3)^2+6
2=a(-3)^2+6
2=a(9)+6
2-6=9a
-4=9a
-4/9=a

Therefore the equation in vertex form is
y = -4/9 (x-3)^2+6

8 0

3 years ago

Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth

AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

$Width = 5ft$

$Length = 4ft$

$Height = 8ft$

The second has the following dimension:

$Width = 3ft$ ---- see the last label at the top

$Length = 2ft$ --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

$Height = 8ft$

So: The volume of the closet is:

$Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2$

$Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft$

$Volume = 160ft^3 + 48ft^3$

$Volume = 208ft^3$

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

$Boxes = \frac{208ft^3}{32ft^3}$

$Boxes= \frac{208}{32}$

$Boxes = 6.5$

7 0

2 years ago

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

Assoli18 [71]

Answer: $d=18t$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

$d=kt$

According to the exercise, the constant of proportionality is:

$k=18$

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

$d=18t$

4 0

2 years ago

Geetika bought 15.40m long cloth. The tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt and returned the remaining cloth

amm1812

Answer:

The length of cloth Geeka got is 2.32m

Step-by-step explanation:

The length Geetika got can be calculated by deducting the total length the tailor cuts from the initial length of the cloth.

Initial length of cloth = 15.40m

From the question, the tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt.

Therefore, the total length the tailor cut = 11m 5cm + 2m 3cm = 13m 8cm

NOTE: 13m 8cm = 13.08m

The length Geeka got = 15.40m - 13.08m = 2.32m

Hence, the length of cloth Geeka got is 2.32m

4 0

2 years ago