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3 years ago

Which equation is true for all x- and y- values in the table below?

Mathematics

2 answers:

Liula [17]3 years ago

6 0

Put in 1 for x and which problem gives you 7

the answer is y=7x

ratelena [41]3 years ago

6 0

Answer: The correct option is (D) $y=7x.$

Step-by-step explanation: We are given to select the correct equation that is true for all x and y in the following table :

x 1 2 3 4

y 7 14 21 28

From the above table of values of x and y, we note the following :

$(1,7)~~~~\Rightarrow 7=7\times 1,\\\\(2,14)~~~\Rightarrow 14=7\times2,\\\\(3,21)~~~~\Rightarrow 21=7\times3,\\\\(4,28)~~~~\Rightarrow 28=7\times4.$

Therefore, we can conclude the following equation :

$y=7\times x\\\\\Rightarrow y=7x.$

Thus, the correct option is (D).

You might be interested in

Write a quadratic function in vertex form whose graph has the vertex

ELEN [110]

Answer:

y = $\frac{1}{2}$ (x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = $\frac{2}{4}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ (x - 5)² - 2 ← in vertex form

4 0

3 years ago

Zack and his dad baked some cupcakes for his class. They put 6 cups on each of 8 plates. How many cupcakes did they put on the p

kolezko [41]

Answer:

48 cupcakes were put on the plates.

Step-by-step explanation: 6 x 8 = 48

I hoped this answer helped you solve your problem!

Sincerely, iloveyouplease123ims

8 0

3 years ago

What’s the answer? I really need help with my home work

Sholpan [36]

There is 45.9 inches for the whole year so

7 0

3 years ago

laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

Use the Binomial Theorem

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0

3 years ago

Which equation is true for all x- and y- values in the table below?​

Which equation is true for all x- and y- values in the table below?