Determine the remainder when (5x3 + 49x2 + 74x + 6) is divided by (x + 8).

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Answer 1

Answer: Determine the remainder when (5x3 + 49x2 + 74x + 6) is divided by (x + 8)

-103?

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I don't understand this help !

How to solve -5/7-11/7x=-y
2y=7+5x

Answers

$\left\{\begin{array}{ccc}-(5)/(7)-(11)/(7)x=-y&/\cdot(-1)\n2y=7+5x\end{array}\right\n\left\{\begin{array}{ccc}(5)/(7)+(11)/(7)x=y\n2y=7+5x\end{array}\right\n\nsubstitute\n\n2\cdot\left((5)/(7)+(11)/(7)x\right)=7+5x\n\n(10)/(7)+(22)/(7)x=7+5x\ \ \ /\cdot7\n\n10+22x=49+35x\n\n22x-35x=49-10\n\n-13x=39\ \ \ /:(-13)\n\nx=-3$

$\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)x\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)\cdot(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)-(33)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-(28)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-4\end{array}\right$

2(2x - 4) + x = 7

whats x?

Answers

2(2x-4)+x=7
= 4x-8+x=7
= 4x+x-8=7
= 5x=7+8
= 5x=15 dividing both sides by 5
= x=15/5
= x=3
so x is 3

Help now pls thank u

Answers

Answer:

120 inches of strands

Step-by-step explanation:

finding the diagonal

= $√((100+576))$

= 26 inches

perimeter of the window = 2(10+24)

= 68 inches

total strands needed to be purchased = [(2×26)+68] inches

= 120 inches of strands

Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile time by 25%. What is his mile time now?

Answers

If you would like to know what is his mile time two months later, you can calculate this using the following steps:

25% of 12 minutes = 25% * 12 = 25/100 * 12 = 3 minutes

12 minutes - 3 minutes = 9 minutes

The correct answer would be 9 minutes.

Answer: 9 minutes.

Step-by-step explanation: 12-3=9.

3 x 4 = 12, 3 x 3 x 3=9, 3 x 3 x 3 x 3=12, 4+4+4=12. So if you think about it, three goes into twelve four times, just like a quarter goes into a dollar four times, or 25 goes into 100 four times. So, if you take twelve minus three and equal it, it is nine.

Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).

Answers

Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex
using given coordinates of vertex:
y=A(x-1)^2-13
using given coordinates of y-intercept:
-11=A(0-1)^2-13
A=2
Equation of parabola: y=2(x-1)^2-13
x-intercepts

set y=0
0=2(x-1)^2-13
2(x-1)^2=13
(x-1)^2=13/2
x-1=±√(13/2)
x=1±√(13

1. find equation

general solutions are:
$y = a x^(2) +bx +c \n \n (dy)/(dx) = 2ax +b$

for P(0,-11)

$-11 = 0a + 0b +c$ ⇒ $c = -11$

for p(1,-13)
$-13 = 1a + 1b -11 \n a+b = -2$

and

$0 = 2a + b \n b = -2a$

solve for a and b:
$a - 2a = -2 \n a = 2 \n b = -4$

the total equation is now:

$y = 2 x^(2) -4x -11$

To find the x-intercept set y=0 and solve for x

$0 = 2 x^(2) -4x-11$

If x is a real number such that x³ = 64, then x² + √x =?

Answers

$x^3 = 64\n \nx=\sqrt[3]{64}\n \nx=4 \n \n \n x^2 + √( x )=4^2+√(4)=16+2 =18$

If x³=64
,x=∛64=4
x²=16
√x=4
x²+√x=16+2
⇒18

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