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4 years ago

11

Graph the function. y=2x

1 answer:

harkovskaia [24]4 years ago

7 0

This is a linear function. If x=0, y=0; if x=2, y=4, etc. Plot the points given by these coordinate pairs: (0,0), (2,4), ....

The resulting graph is the straight line drawn thru these points. It has a slope of 2 and a y-intercept of 0.

If you meant y = 2^x, then you have an exponential function, which is an entirely different matter.

You might be interested in

The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

postnew [5]

Answer:

48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

x/y = 8/9

After the changes in weight, they were equal:

x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

y = x +6 . . . . . . . . . . solve the second equation for y

x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

9x = 8(x +6) . . . . . . . multiply by 9(x+6)

x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0

2 years ago

Mikhael and Hema are planning the annual school fundraiser. They

babunello [35]

Percent of earnings that go to school = 80%

Percent of earnings that was spent on the fundraiser cost = 20%

Last year earnings were= $4000

80% of 4000 went to school which is =

$\frac{80}{100}\times4000=3200$

20% of 4000 = $\frac{20}{100}\times4000=800$ went to costs.

a:

As given, this year, they want $4,000 to go directly to the school.

So let the earnings this year be represented by = x

As, 80% of the earnings go to school, so 80% of x = 4000

$\frac{80}{100}*x=4000$

$80x=400000$

$x=5000$

Hence, this year their earnings should be $5000 so that 80% of it which is $4000 will go to school. And 20% which is $1000 will go to costs.

Or we can say last year they earned $4000, so this year they need to earn $1000 more.

b:

The total amount they need to earn this year is $5000.

5 0

3 years ago

What is the volume of the cube?

tangare [24]

Answer:

27in

Step-by-step explanation:

Length x Width x Height is formula

3 x 3 = 9 x 3 = 27

7 0

3 years ago

Find the ratio of the areas of two squares<br> whose sides are 4 in. and 5 in. respectively<br> .

jeka94

Step-by-step explanation:

please mark me as brainliest

3 0

3 years ago

The mean income per person in the United States is $50,000, and the distribution of incomes follows a normal distribution. A ran

sergij07 [2.7K]

Answer:

Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average

Step-by-step explanation:

Given the following;

$\alpha=Significance \ Level=0.05\\n=10\\\bar X=60000\\\ s=sample\ \sigma=10000$

#We set our hypothesis as:

$H_o:\mu\leq 50000\\H_a:\mu>50000$

The rejection region of either hypothesis:

$P(t>t_o)=0.05$ , we determine the critical values for this probability in the T distribution table;

$t=1.833$

=>We reject for all values greater than 1.833, t>1.833.

#We now determine the value of the test statistic as:

$t=\frac{\bar X-\mu_o}{s/\sqrt{n}}\\\\=\frac{60000-50000}{10000/\sqrt{10}}\\\\=3.1623$

We find that:

$t=3.1623>1.833,\ \ \ Reject \ H_o$

Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.

4 0

3 years ago