Can you help me solve this

5|2x - 3| + 4 = 9 How do you solve this

agasfer [191]

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

Solution 1

(10x-15) + 4 = 9

10x -11 = 9

10x = 20 -> x = 2

Solution 2 (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10 -> x = -1

Please correct me if I'm wrong.

3 0

2 years ago

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

3 years ago

Brainliest for correct answer

Finger [1]

D hope this helps xx

3 0

2 years ago

Determine the value of x, using the following transversal. The value of x is

madam [21]

Answer:

x = -10

Step-by-step explanation:

x + 75 + x + 125 = 180 as supplementary (same side interior angles)
2x + 200 = 180
2x = -20
x = -10

3 0

2 years ago

Read 2 more answers