Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 units. What is the function rule for g(x)? A. g(x) = (x + 7)2 + 8
B. g(x) = (x + 8)2 + 7
C. g(x) = (x - 7)2 - 8
D. g(x) = (x - 8)2 - 7

Answers

Answer 1

Answer: f(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7

Answer: Option D. g(x)=(x-8)^2-7

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7+ (-5)+(-2)=07+ (5)+(2)=07+(-4)+(-3)=07+(-6)+(-1)=0
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How do you solve x to the second power +7x=O

Answers

well the answer is 0 because if anything = 0 then it has to be multiplied by 0 so x = 0

x^2+7x=0
use the square root something....
(7/2)^2=49/4(add it to both sides)
x^2+7x+49/4=49/4
(x+7/2)^2=49/4
x+7/2=posinega 7/2
x=0 or x=-7

Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles per hour. Carol left 5 hours earlier than Jan, but Jan rides a bike at a rate of 6 miles per hour. How far did the travel when Jan caught up to Carol?

Answers

Let, the time when Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!

An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each alloy (to the nearest tenth) were used to make the 10% alloy?lbs. of the 15% alloy and lbs. of the 8% alloy.

Answers

Let the weight of 15% tin be x.

So the weight of the 8% tin will be: (40 - x), since the total weight is 40 lbs

Using the mixture formula:

w1*p1 + w2*p2 = w*p

Where w1 = weight of the first percentage, p1 = First Percentage

w2 = weight of the second percentage, p2 = Second Percentage

w = Final weight, p1 = Final Percentage

0.15*x + 0.08(40 - x) = 40*0.1

0.15x + 3.2 - 0.08x = 4

0.15x - 0.08x = 4 - 3.2

0.07x = 0.8

x = 0.8/0.07

x ≈ 11.429

Recall the 15% was made with x, which is ≈ 11.429

Recall the 8% was made with (40-x) ≈ (40 - 11.429) ≈ 28.571

So the 10% tin of the 40 lbs was made with ≈11.4 lbs of the 15% tin and ≈28.6 lbs of the 8% tin

x=15% alloy
y=8% alloy
x+y=40
y=40-x
0.15x+0.08y=40*0.10
0.15x+0.08(40-x)=40*0.1
times 100 both sides for easy
15x+8(40-x)=400
15x+320-8x=400
7x+320=400
minus 320 from both sides
7x=80
divide both sides by 7
x=80/7
x+y=40
80/7+y=280/7
y=200/7
aprox
x=11.4lb
y=28.6lb

11.4lb of 15%
28.6lb of the 8%
what????

2sin²(x)-5cos(x)+1=0

Answers

Remember the basic trig identity

$\sin^2 x + \cos^2 x = 1$

We can move the cosine term to the right side to get

$\sin^2 x = 1 - \cos^2 x$

We can then replace $\sin^2 x$ in the original equation and basically factor the resulting equation like a quadratic:

$2(1 - \cos^2 x) - 5 \cos x + 1 = 0$
$(2 - 2 \cos^2 x) - 5 \cos x + 1 = 0$
${-2} \cos^2 x - 5 \cos x + 3 = 0$
$2 \cos^2 x + 5 \cos x - 3 = 0$
$(2 \cos x - 1)(\cos x + 3) = 0$

Then, we can see that $\cos x$ either equals $(1)/(2)$ or $-3$ . But since the range of cosine is only from $[-1, 1]$ , cosine can't equal $-3$ at all! So, you just have to solve for x when $\cos x = (1)/(2)$ , which is when

$x = \{ (\pi)/(3), (5\pi)/(3) \} + 2 \pi k | k \in \mathbb{Z}$
(The last part of the solution says that k can be any integer.)

If you only want solutions in the range $[0, 2\pi)$ , then your answer is just

$x = (\pi)/(3), (5\pi)/(3)$

What is 35 rounded to the hundreds place

Answers

Answer:

350

Step-by-step explanation:

Answer:35

Step-by-step explanation:

Which of the following represents an equation for the line that is parallel to y=3/2x-7 and qhich passes through the point (6,8)? 1) y-8=-2/3(x+6) 3)y+8=3/2(x-6)
2)y-8=3/2(x+6) 4)y+8=-2/3(x-6)