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tester [92]
3 years ago
12

Brainliest + Points!

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0
Hey refer to attachment!!!

Draw straight line from 220 (in thousands ) to the plotted line. Draw line parallel to x-axis from point where it touches the plotted line to the y -axis.

It'll automatically meet at 500 which is the answer..

All you need to do is to see the graph carefully.

Hope it helps *_*

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What are the roots of y = x2 – 3x – 10?
alukav5142 [94]

Answer:

5 and -2

Step-by-step explanation:

We will simplify it to y=(x-5)(x+2)

4 0
3 years ago
A fish weighs 8 times as much as a parakeet together they weigh 63 oz how much does the fish weigh
amm1812
I think you have to divide 63 by 8 which will give you 7.875 (8).
You can write it as an equation: 8x n=63
n=7.8
7 0
3 years ago
Given:<br> DBC = RST<br><br> Prove:<br> ABC &gt; RST
masya89 [10]

Answer:

<h3><ABC  >  <DBC.</h3>

Step-by-step explanation:

Given < DBC = < RST and we need to prove < ABC is greater than <RST.

First given statement:

< DBC = < RST

Reason: Given.

Second given statement :

<ABC = <DBC+  <ABD.

Reason: Angle addition theorem.

<em>Note: < ABC is the sum of angles <DBC and  <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and  <ABD is always greater than <RST.</em>

Also,  <ABC is greater than <DBC.

Therefore, correct option for third statement is :

<h3><ABC  >  <DBC.</h3>
5 0
3 years ago
Factor the cubic polynomial 6x3 – 11x2 – 12x 5. use the rational root theorem and synthetic division
pochemuha

The factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  

6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

For given question,

We have been given the cubic polynomial 6x³ - 11x² - 12x + 5

We need to factorize given cubic polynomial.

By the rational roots theorem, any rational zero of f(x) is expressible in the form ± \frac{p}{q} for integers p, q with p a divisor of the constant term 5 and q a divisor of the coefficient 6 of the leading term.

Factors of p = 5: 1, 5

Factors of q = 6: 1, 2, 3, 6

That means that the only possible rational zeros are:

±{ \frac{1}{1} ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,\frac{5}{1} ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

= ±{ 1 ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,5 ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

We need to find the exact zeros of given cubic polynomial.

For x = 1,

6(1)³ - 11(1)² - 12(1) + 5 = -12

This means, x = 1 is not a zero of given cubic polynomial.

For x = -1,

6(-1)³ - 11(-1)² - 12(-1) + 5 = 0

This means, x = -1 is a zero of given cubic polynomial and (x + 1) is a factor.

To factorize given cubic polynomial we use synthetic division.

The synthetic division (6x³ - 11x² - 12x + 5) ÷ (x + 1) is as shown in following image.

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(6x² - 17x + 5)

The factors of above quadratic polynomial 6x² - 17x + 5 are:

⇒ 6x² - 17x + 5 = (x - \frac{5}{2})(x - \frac{1}{3})

So, the factors of given cubic polynomial are:

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Therefore, the factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Learn more about the polynomial here:

brainly.com/question/16594008

#SPJ4

4 0
2 years ago
Round to the nearest tenth 2.8151
Paraphin [41]
._ is the tenths place . Therefore the answer is 2.8
5 0
3 years ago
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