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3 years ago

State the vertex as an ordered pair. y = -|3x +5|+7

1 answer:

8 0

In plain and short, what value of "x" makes the expression |3x + 5| to 0?

well, we can check by simply setting it to 0 and solving for x.

$\bf 3x+5=0\implies 3x=-5\implies \boxed{x=-\cfrac{5}{3}}\\\\
-------------------------------\\\\
\textit{therefore, the vertex of }y = -|3x+5|\boxed{+7}\textit{ is at }\left(-\frac{5}{3}~,~7 \right)$

notice, all you do is, get the x-value that makes the expression to 0, and then append the constant outside it as the y-value, and that's the vertex.

You might be interested in

3y – 28 > -9 solve the inequality

Vadim26 [7]

Answer:

$y>\frac{19}{3}$

Step-by-step explanation:

$3y-28>-9\\\\3y-28+28>-9+28\\\\3y>19\\\\\frac{3y>19}{3}\\\\ \boxed{y>\frac{19}{3}}$

Hope this helps.

4 0

3 years ago

Help me please find the value of x then find the measure of each unknown angle

neonofarm [45]

The value of x is 103.

The value of x is 59.

The value of x is 134.

The value of x is 12

The value of x is 50

The value of x is 135

<h3>What is the value of x?</h3>

The sum of angles on a straight line add up to 180 degrees.

180 - 77 = 103

180 - 121 = 59

180 - 46 = 134

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 12

24 + 3x + 6 = 180

3x = 180 - 24 - 6

3x = 150

x - 50

$\frac{x}{3}$ + 99 + 36 = 180

$\frac{x}{3}$ = 180 - 36 - 99

$\frac{x}{3}$ = 45

x = 45 x 3

x = 135

To learn more about supplement angles, please check: brainly.com/question/2766460

#SPJ1

4 0

2 years ago

Classify the number -61.

butalik [34]

Answer:

1. Integer, rational, and real

Step-by-step explanation:

Remember:

(This is how my teacher taught it; yours may have done it differently)

Real numbers are numbers that can be plotted on a number line.

Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).

Integers are natural numbers, the opposite of natural numbers, and zero.

Whole numbers are natural numbers and zero.

Natural numbers are numbers you can count with.

-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.

7 0

3 years ago

Help!! i need help asap

umka21 [38]

Y = mx + b
y = -4x -2

trying option 1

-8x + 2y = -4

2y = -4 + 8x

y = -2 + 4x

so its incorrect

Now trying option 2

8x + 2y = -4

2y = -4 - 8x

y = -2 - 4x

y = -4x -2

so Option B is correct

7 0

3 years ago

Determine the area under the standard normal curve that lies to the right of (a) Upper Z equals negative 0.77 comma (b) Upper

suter [353]

Answer:

a) $P(Z> 0.07) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

$P(Z>0.07) = 0.472$

b) $P(Z> 0.07) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

$P(Z>0.07) = 0.472$

c) $P(Z> -0.92) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

$P(Z>-0.92) = 0.821$

d) $P(Z> 0.39) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

$P(Z>0.39) = 0.348$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Part a

We want this probability:

$P(Z> -0.77)$

And using the complement rule and we got:

$P(Z> -0.77) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(-0.77,0,1,TRUE)"

And we got:

$P(Z>-0.77) = 0.779$

Part b

We want this probability:

$P(Z> 0.07)$

And using the complement rule and we got:

$P(Z> 0.07) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

$P(Z>0.07) = 0.472$

Part c

We want this probability:

$P(Z> -0.92)$

And using the complement rule and we got:

$P(Z> -0.92) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

$P(Z>-0.92) = 0.821$

Part d

We want this probability:

$P(Z> 0.39)$

And using the complement rule and we got:

$P(Z> 0.39) = 1-P(Z$

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

$P(Z>0.39) = 0.348$

7 0

4 years ago