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Maru [420]
3 years ago
8

If f(x) = 3x-5 and g(x) = 4x^2 + 2x -8 evaluate f(x) x g(x)

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

(3x-5)*(4x^2+2x-8)

=12x^3−14x^2−34x+40


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There are 30 students in the school chorale, and 12 of these students can stay after school today to help prepare the stage for
gtnhenbr [62]
Well it would be 12/30 but it could divide by 2 which equals 6/15 which can be divided by 3 which equals 2/5 so the answer 2/5
8 0
2 years ago
Find the lateral area of the prism.<br> 4cm<br> 3cm <br> 6cm<br> 5cm<br> Lateral Area = [?]cm2
kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0
2 years ago
HELP PLEASE <br><br>must show work<br><br>​
Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

__

b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

__

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

__

d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

__

e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

5 0
3 years ago
Find the value of x. Show your work, congruent triangles
Nataly_w [17]

Answer:

x = 12

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130 + y = 180   {linear pair}

          y = 180 - 130

         y = 50°

3x - 6 +8x + 4 + 50 = 180        {Angle sum property of triangle}

3x + 8x - 6 +  4 + 50 = 180          {Combine like terms}

          11x + 48          = 180

                    11x        = 180 - 48

                          11x = 132

                            x = 132/11

x = 12°

5 0
3 years ago
What is 12ft divided by 25
Basile [38]

Answer:0.48ft

Step-by-step explanation:12/25

7 0
3 years ago
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