MATHEMATICS HIGH SCHOOL

Multiply. Check picture.

Answers

Answer 1

Answer:

The answer is $3x^4-13x^3-x^2-11x+6$ .

Solution:

Use algebraic identity: $a^m* a^n=a^(m+n)$

For example: $x^2* x=x^(2+1)=x^3$

Given expression $(x^2-5x+2)$ and $(3x^2+2x+3)$ .

To multiply these equations.

$(x^2-5x+2)*(3x^2+2x+3)$

$=x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)$

$=(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)$

$=3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6$

Combine like terms together.

$=3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6$

$=3x^4-13x^3-x^2-11x+6$

$(x^2-5x+2)*(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6$

Hence the answer is $3x^4-13x^3-x^2-11x+6$ .

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If p varies directly with q, and p = 8 when q = 2, what is the value of p when q = 7?A.p = 1

B.p = 100

C.p = 40

D.p = 28

Answers

D.p. 28 I'm guessing?

the answer to this question is p=28

The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds

38 There were 16 students at a chess club. 10 of the students were boys, and the rest were girls. What was the ratio of boys to girls at the chess club? (Show work)A 10:6
B 10:16
C 5:3
D 3:5

Answers

Answer:

C) 5:3

Step-by-step explanation:

Given information:

Total students at the chess club: 16

Boys: 10

Girls: Rest of the students (16 - 10 = 6)

To find the ratio of boys to girls, divide the number of boys by the number of girls:

Ratio of boys to girls = Boys / Girls = 10 / 6

Simplify the ratio:

Ratio of boys to girls = 5 / 3

So, the correct answer is:

C) 5:3

i hope this helps! <3

C. 5:3

If there 16 students at chess club 10 of which were boys.

That would mean there are 6 girls, since 16-10=6.

The ratio of boys to girls is 10:6, which simplified would be 5:3.

Therefore the correct answer is C.

Need help please!!!!!!!

Answers

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

$y=(x^2-1)/(x^2-4)\n\n(dy)/(dx)=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=2x^3-8x-2x^3+2x\n0=-6x\nx=0$

I believe it’s the last one
Mark brainliest if satisfied

Solve the equation. -2(4x+4) -4=12 Group of answer choices -3 -0.6 -192 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

-2(4x+4) becomes -8x+-8 then becomes -8x+-8+-4 you get -8x+-12 you add 12 to -12 it then gives you -8x=24 that makes it -x=3 you devide that by -1 and x=-3

10y+23=4y+26 please help

Answers

$10y+23=4y+26\ \ \ \ /-23\n\n10y=4y+26-23\n\n10y=4y+3\ \ \ /-4y\n\n10y-4y=3\n\n6y=3\ \ \ \ /:6\n\ny=(3)/(6)\n\ny=(1)/(2)$

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At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. 4 times as many students chose Bulldogs as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?A.) 39 studentsB.) 78 studentsC.) 156 students D.) 273 students

Can someone solve this please

PLEASE HELP ME !!!The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone? base area for cone= B base area for pyramid= B, 3r heigh A. V = pi r³ B. V = 1/3 pi r² C. V = 2 pi r² D. V = 1/9 pi r³ E. V = 3 pi r³

Whats the answer pls ?