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4 years ago

Find all real numbers s such that -2(s - 7) > 4s + 8. Give your answer as an interval.

1 answer:

7 0

If -2 (s - 7) > 4s + 8
then -2s + 14 > 4s + 8
14 - 8 > 4s + 2s
6 > 6s

∴ <span>all real numbers s such that -2(s - 7) > 4s + 8 are s < 1</span>

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I need help ASAP PLEASE > How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3? (Please explain

marysya [2.9K]

Answer:

The graph has been moved 7 units to the left and 8 units down.

Step-by-step explanation:

When numbers are added directly to the "x" value, the graph shifts to the left. If negative numbers are added directly to the "x" value, the grap shifts to the right. Therefore, if there is a +7 directly altering the "x" value, the function shifts 7 units to the left.

When a number is added to the overall function, it shifts upwards. If this number is negative, the entire function shifts downwards. Therefore, if there is a -8 outside altering the function, then it has been shifted 8 units down.

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2 years ago

The Sweet Shoppe wishes to sell a special mix for Valentine’s Day that consists of Dark Chocolate that costs $4.00 per lb and Mi

Mashutka [201]

Answer: Quantity of Dark Chocolate used = 15 lb

Quantity of Milk Chocolate used = 35 lb

Step-by-step explanation:

Let x = Quantity of Dark Chocolate.

y = Quantity of Milk Chocolate.

As per given , we have the following system of equations:

$x+y= 50-------------(1)\\\\ 4x+2y=50\times2.60\\\\ 4x+2y=130-----------(2)$

Multiply equation (1) by 2 , we get

$2x+2y= 100-------(3)$

Eliminate equation (3) from equation (2) , we get

$2x=30\\\Rightarrow\ x=15$

Put x= 15 in (1) , we get $15+y=50$

⇒ y=35

Therefore , Quantity of Dark Chocolate used = 15 lb

Quantity of Milk Chocolate used = 35 lb

8 0

4 years ago

The question is <br> in the link below

Tom [10]

Answer:

D: -3

Step-by-step explanation:

In order to find a slope of a line from two pairs, one way you can do that is by using a formula.

The formula is as follows:

Y² - Y¹

⁻⁻⁻⁻⁻⁻⁻⁻⁻

X² - X¹

Using this formula, let's plug in our values.

1. Our first Y, is -4. Place that into the equation above for Y².

2. Our second Y, is 8. Place that into Y¹. Wait! Since it's negative in the equation, your positive eight must turn into a -8.

3. Our first X, is 3. Just like our first Y, plug it into your X².

4. Our second X, is -1. Since it is already negative, and the equation is has a negative in it, the negative plus a negative makes the number positive.

Your equation should look like this: (now solve)

-4 - 8 -12

----------- = ------

3 + 1 4

Great, you've made it this far, there's ONE more step! Simplify the problem!

4 goes into 12, 3 times! This is because 4x3 is 12! Since your 12 is negative, your answer MUST stay negative, leaving your answer as -3.

If this leaves you confused, feel free to ask me more questions! :)

5 0

4 years ago

Based on the data table, which equation accurately represents the situation?

8090 [49]

Answer:

The equation of the line is:

$y = 28x$

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the table

Gallons Miles Driven

8 224

10 280

4 112

Finding the slope between any two points, let say (8, 224) and (10, 280)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(8,\:224\right),\:\left(x_2,\:y_2\right)=\left(10,\:280\right)$

$m=\frac{280-224}{10-8}$

$m=28$

now substituting (8, 224) and m = 28 in the slope-intercept form of line equation

$y = mx+b$

224 = 28(8) + b

224 = 224 + b

b = 0

Thus, the y-intercept b = 0

now substituting b = 0 and m = 28 in the slope-intercept form of line equation

$y = mx+b$

$y = 28x+0$

$y = 28x$

Therefore, the equation of the line is:

$y = 28x$

Hence, option C is correct.

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3 years ago

URGENT (I only need a couple ? Correct to pass pls help). Divide (2304 – 5.33 +632 – 5x + 2) by (st – 2).

Elan Coil [88]

Answer:

I got a remainder 0 and quotient as 48 using division method. Hence, the answer is 48.

Step-by-step explanation:

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3 years ago