Can you answer these? I don't understand this part either. Thanks

Answers

Answer 1

Answer: $9x+10=12x-11$
We put 12x on the left side and 10 on right side
$9x-12x=-11-10$
Now we add x and free numbers
$-3x=-21$
And our result is:
$x=7$

$3(x-8)=5x+7$
$3x-24=5x+7$
$3x-5x=7+24$
$-2x=31$
$x=- (31)/(2)$

Answer 2

Answer: $9x+10=12x-11\n 3x=21\n x=7\n\n 3(x-8)=5x+7\n 3x-24=5x+7\n 2x=-31\n x=-(31)/(2)$

Equation of a Parabola,

We know that the equation of a parabola is given as,

$y = ax^2 +bx+c$

For point 1,

Point 1 = (1, 1045)

Substituting the value in the equation of a parabola,

$1045 = a(1)^2 +(1)b+c\n\n1045 = a+b+c$ ..... equation 1,

For point 2,

Point 2 = (3, 1105)

Substituting the value in the equation of a parabola,

$1105 = a(3)^2 +(3)b+c\n\n1105= 9a+3b+c$ ..... equation 2,

For point 3,

Point 3 = (5, 1125)

Substituting the value in the equation of a parabola,

$1125= a(5)^2 +(5)b+c\n\n1125= 25a+5b+c$ ..... equation 3,

Solving the three equations we get,

a = -5,

b = 50,

c = 1000

Substitute the values in the equation of a parabola,

$y=f(x) = -5x^2 +50x +1000$

How to find Vertexes of a parabola?

To find the vertex of a parabolic equation we bring the equation into the form,

$y = a(x-h)+k\n$ , where h and k are the vertexes of the parabola.

Vertexes of the parabola

Vertex of the Parabola,

$y=f(x) = -5x^2 +50x +1000\n\ny = -5x^2 +50x +1000\n\ny =-5(x^2 -10x)+1000\n\ny =-5(x^2 -10x+25-25)+1000\n\ny =-5(x^2 -10x+25)+ (-5* -25)+1000\n\ny =-5(x^2 -10x +25)+125+1000\n\ny =-5(x^2 -5)^2+1125$

Comparing it to the equation, $y = a(x-h)+k\n$ ,

the vertexes of the parabola are,

(5, 1125)

Learn more about the Equation of a Parabola:

brainly.com/question/4443998

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)?4(x – 7)2 – x – 7 + 3

4(x – 7)2 – (x – 7) + 3

(4x2 – x + 3) – 7

(4x2 – x + 3)(x – 7)

Answers

The correct answer is 4(x-7)²-(x-7)+3.

Explanation:
When we find (t*s)(x), that is the same as t(s(x)). To evaluate this, we take the value of s(x), x-7, and substitute it in for every x in t(x). Instead of 4x², we have 4(x-7)²; instead of -x, we have -(x-7). This gives us 4(x-7)²-(x-7)+3.

Answer:

$(4x^2-x+3)(x-7)<strong>$

D is the correct option.

Step-by-step explanation:

We have been given that

$s(x)=x-7\text{ and }t(x)=4x^2-x+3$

We have to find $(t\cdot x)$

which means we have to find the product of these two expressions.

We can rewrite $(t\cdot x)$ as $t(x)s(x)$

Therefore, we have

$(t\cdot x)\n\n=t(x)s(x)=(4x^2-x+3)(x-7)$

Hence, the equivalent expression is

$(4x^2-x+3)(x-7)$

D is the correct option.

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.Determine a linear function that models the cost, c, and the number of students, s.

Which statements about the linear function and its graph are correct? Check all that apply.

Answers

Answer:

A,C, and D

Step-by-step explanation:

Did it on Edgenuity

Answer:

A, C, D

Step-by-step explanation:

Kelly joins Powerhouse Gym. The cost is $30 per month and a one-time $100 joining fee. Lisa joins MegaMuscle Gym for 35$ per month and a 50$ joining fee. In how many months will Lisa have paid more then Kelly?