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Artyom0805 [142]

4 years ago

7

Solve the equation using square roots. 3x2 – 27 = 0

2 answers:

Elza [17]4 years ago

8 0

Answer:

C. Plus or minus 3

Step-by-step explanation:

Take a GCF of 3 out of both terms in the binomial. You'll get 3*(x^2-9)=0. Then use FOIL to get the binomials (x+3) and (x-3). You're answers will be -3 and 3

Scrat [10]4 years ago

4 0

Answer:

C, Plus or minus 3

Step-by-step explanation:

to solve 3x² - 27 = 0, we want to get the x by itself, so lets add 27 to both sides.

3x² = 27 < divide both sides by 3 to get x alone

3x²/2 =x²

27/3 = 9

x² = 9 < we can use the square-root property and square both sides of the equation to get x alone. we use the ± because there are 2 possible solutions to a square rooted number

√x² = x

√9 = 3

x = ±3

looking at our answer choices, the correct answer is C

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Graph a linear function which has a rate of change equal to the average rate of change of function f on the interval [-1, 1]. Th

fomenos

<h2>Answer:</h2>

The linear function is given by:

$y=\dfrac{3}{2}x-\dfrac{7}{2}$

<h2>Step-by-step explanation:</h2>

It is given that the rate of change of the linear function is equal to the average rate of change of function f on the interval [-1, 1].

The slope(m) or average rate of change of the linear function will be:

$m=\dfrac{f(1)-f(-1)}{1-(-1)}\\\\\\m=\dfrac{-2-(-5)}{1+1}\\\\\\m=\dfrac{-2+5}{2}\\\\\\m=\dfrac{3}{2}$

and the linear function pass through (1,-2)

We know that the equation of a line with given slope m and passing through point (a,b) is given by:

Here (a,b)=(1,-2)

and $m=\dfrac{3}{2}$

Hence, the equation of linear function is:

$y-(-2)=\dfrac{3}{2}\times (x-1)\\\\\\y+2=\dfrac{3}{2}x-\dfrac{3}{2}\\\\\\y=\dfrac{3}{2}x-\dfrac{3}{2}-2\\\\\\y=\dfrac{3}{2}x-\dfrac{7}{2}$

4 0

3 years ago

The least common denominator of two fractions is 24.if you add the two denominators,their sum is 14.What are the denominators?

melamori03 [73]

The two denominator would be 6 and 8 because they both = 14 and the lcm of both are 24

4 0

3 years ago

The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

<em>Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle</em>

<em></em>

5 0

4 years ago

NEED ASAP<br><br> 1. Find the distance between (3√3, √11) and (−5√3, 5√11)

VLD [36.1K]

Answer: $\sqrt20$

Step-by-step explanation

7 0

3 years ago

Which answer choice shows 4 + 0.3 + 0.09 written in standard form?A.43.9B.4.39C.0.439D.0.0439

Oliga [24]

Place values:

As each is in a different place value, when we add them neither will affect the other, meaning:

$4+0.3+0.09=4.39$

Answer: B 4.39

5 0

1 year ago