Three times a number increased by eight is no more than a number decreased by four

Help due in 20 mins will mark brainliest.

ValentinkaMS [17]

Answer:

1. The ratio in the table above is a 2.5 : 1 ratio.

2. The second row represents that if you use 15 cups of flour you need 6 tablespoons of flour. (I’m not 100% sure this one is right)

3. 10 cups of flour and 4 tablespoons vanilla

Step-by-step explanation:

3. If you divide your number of flour by 2.5 you get the amount of vanilla you must use

3 0

3 years ago

Ryan earned x number of dollars babysitting his little brother in July. His older

aliya0001 [1]

Answer:

Ryan earned $52 Mike earned $109 and Stormy earned $94

Step-by-step explanation:

x+2×+5+2x-10=255

5x-5=255

5x=260

x=52

6 0

3 years ago

PWEASE HELPPPPP

AveGali [126]

Answer:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE HELP 100 POINTS!!!!!!

horrorfan [7]

Answer:

A) See attached for graph.

B) (-3, 0) (0, 0) (18, 0)

C) (-3, 0) ∪ [3, 18)

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

$g(x)=\begin{cases}x^3-9x \quad \quad \quad \quad \quad \textsf{if }x < 3\\-\log_4(x-2)+2 \quad \textsf{if }x\geq 3\end{cases}$

Therefore, the function has two definitions:

$g(x)=x^3-9x \quad \textsf{when x is less than 3}$

$g(x)=-\log_4(x-2)+2 \quad \textsf{when x is more than or equal to 3}$

When graphing piecewise functions:

Use an open circle where the value of x is not included in the interval.
Use a closed circle where the value of x is included in the interval.
Use an arrow to show that the function continues indefinitely.

First piece of function

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=(3)^3-9(3)=0 \implies (3,0)$

Place an open circle at point (3, 0).

Graph the cubic curve, adding an arrow at the other endpoint to show it continues indefinitely as x → -∞.

Second piece of function

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=-\log_4(3-2)+2=2 \implies (3,2)$

Place an closed circle at point (3, 2).

Graph the curve, adding an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attached for graph.

The x-intercepts are where the curve crosses the x-axis, so when y = 0.

Set the first piece of the function to zero and solve for x:

$\begin{aligned}g(x) & = 0\\\implies x^3-9x & = 0\\x(x^2-9) & = 0\\\\\implies x^2-9 & = 0 \quad \quad \quad \implies x=0\\x^2 & = 9\\\ x & = \pm 3\end{aligned}$

Therefore, as x < 3, the x-intercepts are (-3, 0) and (0, 0) for the first piece.

Set the second piece to zero and solve for x:

$\begin{aligned}\implies g(x) & =0\\-\log_4(x-2)+2 & =0\\\log_4(x-2) & =2\end{aligned}$

$\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b$

$\begin{aligned}\implies 4^2&=x-2\\x & = 16+2\\x & = 18 \end{aligned}$

Therefore, the x-intercept for the second piece is (18, 0).

So the x-intercepts for the piecewise function are (-3, 0), (0, 0) and (18, 0).

From the graph from part A, and the calculated x-intercepts from part B, the function g(x) is positive between the intervals -3 < x < 0 and 3 ≤ x < 18.

Interval notation: (-3, 0) ∪ [3, 18)

Learn more about piecewise functions here:

brainly.com/question/11562909

3 0

2 years ago

1. The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest

olga_2 [115]

Answer:

a)

$2.79 per pound.

$0.93 per apple.

b)

Unit price per pound is typically used because weight and size of every apple is not same.

Step-by-step explanation:

5 pound bag of organic apples = $13.95

1 pound bag of organic apples = $13.95/5

= $2.79

The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.

As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.

3 apples cost = $2.79

The unit price means 'what is the cost of 1 apple'

1 apple cost =$2.79/3

=$0.93

The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.

4 0

3 years ago

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