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Evaluate 12x2 + 39x + 30 at x = 3.

ycow [4]

Answer:

255

Step-by-step explanation:

12x^(2) + 39x + 30

x = 3

Substitute in"3" for "x" and solve;

12(3)^(2) + 39(3) + 30

= 12 * 9 + 117 + 30

= 108 + 117 + 30

= 255

3 0

2 years ago

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The shortest side of an isosceles triangle is 26 cm less than twice as long as the other sides. The perimeter of the triangle is

olya-2409 [2.1K]

Answer:

22cm,24cm,24cm

Step-by-step explanation:

Let us call one of the other sides x

the shortest side = 2x-26

in an isosceles, 2 sides are equal (x in this case)

so we now have sides of x,x and 2x-26

form an eqution from this.

4x-26=70

4x=96

x=24

24 x 2 = 48 - 26 = 22

thus, the shortest side is 22cm and the other sides are both 24cm

7 0

2 years ago

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Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

NemiM [27]

<u>Given:</u>

The given function is $f(x)=\frac{3}{7}(2)^{x}$

We need to determine the reflection of f(x) over the x - axis

<u>Reflection over x - axis:</u>

The translation rule to reflect over the x - axis is given by

$(x, y) \rightarrow(x,-y)$

Reflecting the function over the x - axis, we get;

$-y=\frac{3}{7}(2)^{x}$

Multiplying -1 to both sides of the equation, we have;

$y=-\frac{3}{7}(2)^{x}$

This can be written as

$g(x)=-\frac{3}{7}(2)^{x}$

Hence, the reflection of the function over the x - axis is $g(x)=-\frac{3}{7}(2)^{x}$

Thus, Option A is the correct answer.

9 0

2 years ago

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Question 3

Papessa [141]

Answer:

(a) The next 3 terms in the sequence are 17, -31, and 65

(b) The 3 terms that came before -7 are 2, -1, and 5

Step-by-step explanation:

a. To determine the next 3 terms in the sequence after -7,

From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.

Then, for the next number after -7, we will get

-7 × -2 = 14; 14 + 3 = 17

For the second number after -7, we will get

17 × -2 = -34; -34 + 3 = -31

For the third number after -7, we will get

-31 × -2 = 62; 62 + 3 = 65

Hence, the next 3 terms are 17, -31, and 65

(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2

Hence, the previous number to -7 (that is, the third term in the sequence)

-7 -3 = -10; -10 ÷ -2 = 5

Then, the second term will be

5 - 3 = 2; 2 ÷ -2 = -1

and the first term will be

-1 -3 = -4; -4 ÷ -2 = 2

Hence, the 3 terms that came before -7 are 2, -1, and 5

4 0

2 years ago

What is the median for this list of numbers? 3, 6, 9, 10, 12

Svetllana [295]

The answer is 9 because if you put those numbers in a life from smallest to biggest and take one off each side your left with 9

6 0

2 years ago

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