MATHEMATICS HIGH SCHOOL

For which equation(s) is −2 a solution?

Answers

Answer 1

Answer:

A.) 2x+6=2

B.) 2(x-4)=6x

Step-by-step explanation:

A.) 2x+6=2:

Move all terms that don't contain x to the right side and solve.

x=−2

B.) 2(x-4)=6x:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

C.) 3x+1/2=1/4x+6:

Solve for x by cross multiplying.

x=2

D.) 3x+15=2x+9:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−6

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Jack, Jo and Jim were ship wrecked on an island with monkeys and a crate of 185 bananas jack ate 5 more then Jim jo ate 3 more bananas and the monkey ate 6 bananas how many bananas did each sailor eat?

Answers

Jim and Jo both ate 9 bananas and what I did is add 6+3 = 9. Now I am going to figure out how many Jack ate by adding 9 +5=14. So:

Jim ate 9 bananas
Jo ate 9 bananas
Jack ate 14 bananas

I hope this helped :)

XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'. If the slope and length of XY are m and l respectively, what is the slope of X'Y'?

Answers

Answer: The slope of line X'Y'= m

Step-by-step explanation:

Given: XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.

The slope and length of XY are m and l respectively.

Dilation is a transformation that forms similar shape, but with a different size such that the corresponding sides of image and original shape are parallel to each other.

As the slope of parallel line are equal .

⇒ The slope of XY and X'Y' are equal.

Hence, the slope of X'Y' is m.

Hello,

Dilatations conserved parallelism

=> slope of X'Y'=m= slope of XY

Dilatations multiply length by the scale factor

==> |X'Y'|=1.3*|XY-=1.3*L

Evaluate the expression below for x = 4, y = –5, and z = 2. 3x^2 -4y+xza. 12
b. 36
c. 52
d. 76

Answers

3(4)^2 -4(-5) + (4)(2)
= 3(16) + 20 + 8
= 48 + 20 + 8
= 76 (d)

Which property does x2+2x=2x+x^2

Answers

Im pretty sure its the commutative property.

Which of the following is a function equivalent to f(x) = 5(1.9)^3x? f(x) = 34.29^x
f(x) = 5(6.86x)
f(x) = 5(6.86)^x
f(x) = 328.51^x

Answers

Answer:

f(x) = 5(6.86)^x

Step-by-step explanation:

The function f(x) can be simplified according the the laws of mathematics. The expression is 5 multiplied by the 1.9^3x. You cannnot multiply 5 with 1.9 because 1.9 has a power of 3x. The 5 can only be multiply by the 1.9 if the 5 had a power of x or if 1.9 has a power of just 3. Therefore:

f(x) = 5×(1.9×1,9×1.9)^x = 5×(6.86)^x

1.9^3 = 6.86, so assuming it's 1.9^3 and not 1.9^(3x) then the answer is
f(x) = 5(6.86x)
Your question isn't 100% clear though.

Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by 4 cm; 12 cm by 2 cm by 3 cm B. 2 cm by 4 cm by 9 cm; 9 cm by 4 cm by 2 cm C. 3 cm by 3 cm by 8 cm; 2 cm by 6 cm by 8 cm D. 6 cm by 3 cm by 4 cm; 9 cm by 4 cm by 3 cm

Answers

To solve, lets find the volumes of all of the options...

V=l*w*h

A.
6*3*4=72cm³
12*2*3=72cm³

B.
2*4*9=72cm³
9*4*2=72cm³

C.
3*3*8=72cm³
2*6*8=96cm³

D.
6*3*4=72cm³
9*4*3=108cm³

We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.

Now lets solve for the surface area of A and B...

A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²

B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²

A is the only option with both similar volumes of 72cm³ and different surface areas...

Answer=A

Answer:

Step-by-step explanation:

A, is the answer

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