What are the coordinates of a point called

1) Name the x-intercept of the graph for the equation 4x +2y = 8

Ksju [112]

Answer:

The x-intercept is at (2,0).

Step-by-step explanation:

The x-intercept(s) can be found by setting y to 0 and solving for x.

Your equation is:

4x+2y=8.

To find x-intercept replace y with 0:

4x+2(0)=8

4x =8

Divide both sides by 4:

x =2

The x-intercept is at (2,0).

7 0

3 years ago

Read 2 more answers

If g(x)= 2x+5 find g(5)

sukhopar [10]

Answer:

15

Step-by-step explanation:

g(5) = 2(5) + 5

g(5) = 10 + 5

g(5) = 15

7 0

3 years ago

Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How

rodikova [14]

The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3*(100%+4.5%)^4
total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * 1.121622319 * 1.1925186
total money= £14,713.11

8 0

3 years ago

Which shows the following in order from least to greatest: 85%, 15/18, 0.84 PLEASE HELP

Marrrta [24]

Answer:

15/18, 0.84, 85%

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

6 0

3 years ago

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There are 50 students in a calculus class. The amount of time needed for the instructor to grade a randomly chosen midterm exam

natta225 [31]

Answer:

14.46% probability that the instructor can finish grading in 4 and a half hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .