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3 years ago

Which expressions are equivalent to -3x+6v+7x14?

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Between the 4 and the 7 is it a multiplication or an X?

If the multiplication sign, this is the solution

$- 3x + 6v + 7 \times 14 \\ = 6v - 3x + 98$

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9. What is the vertex of the function? f(x) = 3x² - 8x + 10

Delvig [45]

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

$Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.$

Calculate -b/2a:

$X = -(-8)/2(3)$

$X = 8/6$

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

$Y = 3x^{2} - 8x + 10$

$Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10$

$Y = \frac{48}{9} - \frac{64}{6} + 10\\$

This is equal to 4.66 reccuring.

7 0

2 years ago

In ten-pin bowling, the highest possible score in a single game is 300.

Natali [406]

Answer:

a) Is it possible for Fred to accomplish this? Yes

b) If it is possible, what score does he need in his next game? 293

Step-by-step explanation:

Step 1

Let us represent the number of games Fred bowled to get an average of 177 = X

His total points scored in that game would be

177 × X

= 177X

To achieve an average of 178 for his next game,

The total number of points he scored was 199, hence that is represented as:

178 = 177X + 199/ X + 1

178(X + 1) = 177X + 199

178X + 178 = 177X + 199

178X - 177X = 199 - 178

X = 21

Hence, Fred bowled 21 games to achieve an average of 178

Therefore, the score he needs to have on the 23rd game is obtained as:

= (23 × 183) - (22 × 178) = 4209 - 3916 = 293

Therefore, it is possible for Fred to raise his average from 178 to 183 in a single game, but he must bowl 293 in his next game to do this.

5 0

3 years ago

Which equation can be used tº find B in the triangle below?

Anton [14]

Answer:

tanB=8/6

Step-by-step explanation:

6 0

3 years ago

Which function in Excel is used to perform a test of independence? a. T.TEST b. CHISQ.TEST c. NORM.S.DIST d. Z.TEST

denis23 [38]

Answer:

b. CHISQ.TEST

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

The statistic is given by:

$\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$

In order to calculate the p value we need to have in count the degrees of freedom , on this case $df=(rows-1)(#cols-1)$ . And we can calculate the p value would be given by: