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3 years ago

(09.02)

Mathematics

1 answer:

Yuki888 [10]3 years ago

4 0

Answer:

x = - 2, x = 10

Step-by-step explanation:

Given

x² - 8x - 20 = 0

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)

The factors are - 10 and + 2 , since

- 10 × 2 = - 20 and - 10 + 2 = - 8 , then

(x - 10)(x + 2) = 0

Equate each factor to zero and soilve for x

x + 2 = 0 ⇒ x = - 2

x - 10 = 0 ⇒ x = 10

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Jean and Jericho who are playing in the school grounds decided to sit on a

Natalija [7]

We want to see underline the correct part in each statement.

1) This situation illustrates (direct, inverse) variation.
2) The two quantities that must vary in this situation are (weight and 
distance from the center, height and weight).
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

W₁ = Jean's weight.
d₁ = Jean's distance to the center.
W₂ = Jericho's weight.
d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

If you want to learn more, you can read:

brainly.com/question/18320907

7 0

2 years ago

Write the following quadratic in vertex form X^2-10x+7

grin007 [14]

Hello,

y=x²-10x+7=x²-2*5x+25-25+7=(x-5)²-18
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3 years ago

When Maria finished medical school, she had a student loan. She repaid $27,000 of the loan within two years of graduating. That

Alchen [17]

Answer

$54,000

Equation

x=27,000

2x=54,000

3 0

3 years ago

kherson [118]

Answer:

The answer would be A/B=H

Step-by-step explanation:

To get rid of the B that is connected to the H, you would do the opposite of what they used. Meaning since the two were multiplied you would divide them. So, you would take your b and divide it on both sides of the equal sign. B and B cancels each other out so you are left with A/B which equals H.

7 0

2 years ago

. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a dis

nalin [4]

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

8 0

3 years ago