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cluponka [151]
3 years ago
13

3xsquare-9x-30=0 What’s the answer

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)

The factors are - 5 and + 2, since

- 5 × 2 = - 10 and - 5 + 2 = - 3, thus

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

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Part c
ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h \\

$&V=\pi(\frac{9}{2} )^{2} * 4

$V=81 \pi

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}

$P=\frac{1}{3 \pi}

Expand $\pi$

$&P=\frac{7}{3 * 22} \\

$&P=\frac{7}{66}

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0
1 year ago
Which statement correctly explains whether or not the values in the table represent a function of x
Lemur [1.5K]

Answer:

Step-by-step explanation:

A relation is said to be a function when each input value (x-value) show a distinct output value (y-value).

From the table attached,

For input value x = 0, there are multiple values of output values (y = -2, -1, 0, 1, -2).

Therefore, data given in the table doesn't represent a function.

7 0
3 years ago
In how many ways can the letters HAPPY be arranged in a row?
ludmilkaskok [199]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the equation y=-10x+1?
Alenkasestr [34]
Linear functions can be written in the form y=mx+b, where:
y is a y coordinate on the line
m is the slope of the line
x is the x coordinate on the line that corresponds with the y coordinate in the equation
b is the y-intercept of the line

So for the equation y=-10x+1:
m=-10 and b=1 so the slope of the line is -10, and the y-intercept is 1. Your answer is B.
5 0
3 years ago
Read 2 more answers
Solve: x/x+2 + 5/x-3 = 25/x2-x-6
Paraphin [41]

Answer:

x1=3  x2=-5

BUT x1=3 is not an answer because it doesnt respects the range on the original ecuation, so x2=-5 is the solution

Step-by-step explanation:

6 0
2 years ago
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