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11111nata11111 [884]
3 years ago
14

Solve by graphing u=v and 6u=2v-24

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

u=-6 \\ \\ v=-6

Step-by-step explanation:

In this exercise, we have two equations, namely:

u=v \ and \ 6u=2v-24

And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:

u=y \\ \\ v=x

Then:

\left\{ \begin{array}{c}y=x\\6y=2x-24\end{array}\right.

So here we have two lines.

The first one is:

\boxed{y=x}

This line passes through the origin and has a slope m=1

The second one is:

6y=2x-24 \\ \\ \therefore y=\frac{2x-24}{6} \\ \\ \therefore \boxed{y=\frac{1}{3}x-4}

This line has a slope m=\frac{1}{3} and cuts the y-axis at b=-4

By using graph tools, we get the graph shown below, then:

x=-6 \\ \\ y=-6 \\ \\ \\ Since \ u=y \ and \ v=x, then: \\ \\ u=-6 \\ \\ v=-6

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Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?
snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

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QveST [7]
The correct answer is 10/15, simplified to 2/3.
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your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac
Serga [27]
<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

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3 years ago
What are the values a, b, and c in the following quadratic equation?<br><br> −6x = −8x2 − 13
lesya692 [45]

Answer:

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a = 8

b = - 6

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Evaluate the expression (ab)2 for a = 2 and b = 5. 100 50 20 625
kakasveta [241]

(ab)2

((2)(5.1005020625)2=?

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