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3 years ago

Identify the value of a if

Mathematics

1 answer:

Serga [27]3 years ago

7 0

Answer:

a=1/3

Step-by-step explanation:

from the point on the graph

x=4 and y=8

substitute them into the equation:

y=a(x-2) (2x+4)

you will get

8=a(4-2) (2(4)+4)

8=a(2) (8+4)

8=a(2) (12)

8=2a×12

8=24a

divide both sides by 24

8/24=24a/24

1/3=a or a=1/3

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3x-2y=-1 Y=-x+3 is (1,2) a solution of the system

Lisa [10]

Answer:

Yes

Step-by-step explanation:

To be a solution of the system, it has to satisfy both the equations.

Let's check first one:

3x - 2y = -1

3 (1) - 2(2) = 3 - 4 = -1

So correct (satisfies).

Now, 2nd one:

y = -x + 3

y = -(1) + 3

y = -1 +3

y = 2

Yes, this is satisfied.

Hence, (1,2) IS A SOLUTION OF THE SYSTEM

3 0

3 years ago

Y is directly proportional to x and k is a constant. Which equation

inn [45]

It would be Y=kx.
Look at photo for explanation

7 0

3 years ago

Read 2 more answers

A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a

max2010maxim [7]

Answer:

Option C - Reject H0. We have convincing evidence that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722.

Step-by-step explanation:

First of all let's define the hypothesis;

Null hypothesis;H0; μ = $48,722

Alternative hypothesis;Ha; μ > $48,722

Now, let's find the test statistic for the z-score. Formula is;

z = (x' - μ)/(σ/√n)

We are given;

x' = 48,722

μ = 49,870

σ = 3900

n = 50

Thus;

z = (49870- 48722)/(3900/√50)

z = 2.08

So from online p-value calculator as attached, using z = 2.08 and α = 0.05 ,we have p = 0.037526

This p-value of 0.037526 is less than the significance value of 0.05,thus, we reject the claim that that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722

8 0

4 years ago

Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of

GrogVix [38]

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4

8 0

3 years ago

Please, someone who is smart help me.

BARSIC [14]

24 x 1/2 = 12,

use these numbers to make a problem

7 0

3 years ago