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3 years ago

Match the inequality to its graph.

Mathematics

1 answer:

EastWind [94]3 years ago

7 0

4y+ 3 is greater than y+ 6

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Evaluate the expressions 3x-2 and 4x+4 for the following value of x.

kirill [66]

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: $4x+4>3x-2$

Part b: $4x+4=3x-2$

Part c: $4x+4>3x-2$

Part d: $4x+4>3x-2$

Explanation:

Part a: Substituting $x=0$ , we get,

$\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}$

$\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part b: Substituting $x=-6$ , we get,

$\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}$

$\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}$

The value of $3x-2$ and $4x+4$ are equal.

Thus, $4x+4=3x-2$

Part c: Substituting $x=5$ , we get,

$\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}$

$\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part d: Substituting $x=-2$ , we get,

$\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}$

$\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

4 0

3 years ago

You did 5 trials of push-ups in a minute with the following results:

Finger [1]

Answer:

36 push-ups on your sixth trial

<u>I would appreciate Brainliest, but no worries.</u>

8 0

3 years ago

Identify the y-intercept of the line y=5x-1

IrinaVladis [17]

Answer: its 1

Step-by-step explanation:

3 0

3 years ago

Find the slope <br> (-19,-6) (15,16)

Alex Ar [27]

Answer:

11/17

Step-by-step explanation:

slope between two points: slope = (y2 - y1) / (x2 - x1)

(x1, y1) = (-19, -6), (x2, y2) = (15, 16)

m = (16 - ( - 6)) / (15 - ( - 19))

refine

m = 11/17

sorry it is hard to follow... i am on my phone rn :/

5 0

3 years ago

You see a news headline which claims that tuition at CSU San Jose is going to increase by 7% next year. If tuition for in-state

wolverine [178]

The tuition would be $6143.94 next year

<h3>How to detemrine the tuition amount?</h3>

The given parameters are:

Current amount = $5,742
Rate of increment, r = 7%

The tuition next year is then calculated as:

Tuition = Current * (1 + Rate)

This gives

Tuition = $5,742 * (1 + 7%)

Evaluate

Tuition = $6143.94

Hence, the tuition would be $6143.94 next year