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4 years ago

Which is the x-intercept for 4x − 2y = 16?

Mathematics

1 answer:

mihalych1998 [28]4 years ago

4 0

Answer:

Step-by-step explanation:

Remember, the x-intercept of a function is where the graph intersects the x-axis. A function only intersects the x-axis when y = 0.

To find the x-intercept of the function 4x - 2y = 16, lets set y = 0 and solve for x:

4x - 2(0) = 16

4x = 16

x = 4

So the x-intercept of the function would be 4.

I hope you find my answer and explanation to be helpful. Happy studying.

You might be interested in

-3(1 + 6x) = 14 - x How do you solve this?

mezya [45]

-3(1+6x) = 14 - x
-3 -18x = 14 -x
-18x +x = 14 + 3
-17x = 17
x = -17/17
x = -1
Therefore x is equal to -1.

4 0

4 years ago

Read 2 more answers

A 4-pack of greeting cards costs $7.40. What is the unit price?pls answer fast

densk [106]

Answer:

The unit price of the problem is that one pack of greeting cards costs $1.85

Step-by-step explanation:

In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.

7.40 ÷ 4 = 1.85

So, one pack of greeting cards costs $1.85 which is also our unit price.

3 0

4 years ago

Question 3: Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she pa

Lera25 [3.4K]

Each bracelet was approximately 20.25

Here is my work:

67.50 - 27 = 40.5

40.5 divided by 2 = 20.25

Hope this helps!

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME!!!!!!!!!!! NEED ANSWER IN LIKE 6 MINS!!!

PSYCHO15rus [73]

Answer:

yes, $20.

Step-by-step explanation:

If you draw a line through the points it makes a straight line, so it is linear. And you get $20 by dividing $100 per the 5 people.

4 0

3 years ago

Based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age

svetoff [14.1K]

Answer:

We conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

Step-by-step explanation:

We are given that based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25.

A random sample of 52 claims showed that 43 were made by single people under the age of 25.

Let p = population proportion of claims made by single people

So, Null Hypothesis, $H_0$ : p $\leq$ 67% {means that the insurance claims of single people under the age of 25 is smaller than or equal to the national percent reported by the large insurance company}

Alternate Hypothesis, $H_A$ : p > 67% {means that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of claims made by single people under the age of 25 = $\frac{43}{52}$ = 0.83

n = sample of claims = 52

So, the test statistics = $\frac{0.83-0.67}{\sqrt{\frac{0.67(1-0.67)}{52} } }$

= 2.454

The value of z-test statistics is 2.454.

Since in the question, we are not given the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 2.454 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

6 0

4 years ago