Describe how to solve an absolute value equation
*will give brainliest*

Answer:

Hey there!

60ab-72b

12b(5a-6)

The GCF is 12b.

Let me know if this helps :)

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

Answer:

193.21 m

Step-by-step explanation:

make a vertical line down from the helicopter that is 100m

tan 61.5 = 100/x       x = 54.3 (distance from the point directly below helicopter                                                                  to boat)

tan 22 = 100/x          x = 247.51 (distance from the point directly below helicopter to the island

247.51 - 54.3 = 193.21 (distance from boat to island)

Answer:

11 adults and 16 children

Step-by-step explanation:

a + c = 27 and 4a + c = 60

3a = 60 - 27 = 33

a= 11  

so c = 16

Answer:

20 units

Step-by-step explanation:

To find the hypotenuse length of one of the sides of this rhombus we have to use the pythagoram theorem.

if you make the point (1,0) the origin, we can see that it forms a triangle, with a base of 3, and a height of 4, next to the BE line.

a^2+b^2=c^2

9+16=c^2

25=c^2

c=5

if each diagnol length is 5 units long, the perimeter is

20 units.

Answer:

20 units.

Step-by-step explanation:

Formula for the perimeter of a rhombus = 4a.

Meaning all sides multiplied by 4

The point (1,0) is made A.

From D to F is 8 units, and from E to G is 6 units. Half of 6 is 3, and half of 8 is 4.

Imagine a right-angled triangle on one side of the rhombus(eg. ∆GAD), meaning that you'll have to find the hypotenuse.

*Use Pythagoras Theorem*

x² = 3² + 4²

x² = 9 + 16

x = √25

x = 5

The perimeter of the rhombus if one side is 5 units:

5 units × 4 sides = 20 units.

Answer:

The pepper plant has 15 fruits on it.

Step-by-step explanation:

Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3

collecting like terms,

y = 2x/3 + x

The above is the number of plants the pepper plant has.

y = 2x/3 + x

y = (2x + 3x)/3

y = 5x/3

Since x = number of fruits on tomato plant = 9, then

y = 5x/3

y = 5(9)/3

y = 5 × 3

y = 15

Since y = number of fruits on pepper plant = 15

So, the pepper plant has 15 fruits on it.

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

This is approximately 0.1176

If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

Answer:

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

Given that:

Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98

α = 1 - C = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01.

The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33

The margin of error (E) is:

[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]

The confidence interval = μ ± E = 17 ± 2 = (15, 19)

Confidence interval for the population mean is between 15 homes and 19 homes

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

Answer:

D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Each person is

expected to drink one can of soda.

Let p=price of each soda

q=number of people in the picnic

Total cost of soda=price of each soda × Total people attending the picnic

Total cost of soda=p×q

Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to

determine the total cost of the soda.

Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas

A. Max is incorrect because he calculated the cost of one can of soda

B. Diego is incorrect because he calculated the price of one can of soda

C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas

D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Answer:v

Step-by-step explanation:

3(x^2+3)

the gcf is 3

Answer: 3 is the gcf

Step-by-step explanation:

3 is a factor of both 3 and 9. 1 is the other common factor. 3 is the greatest common factor. If you were looking at larger numbers with many common factors like 24 and 48, factors include 1,2,3,4,6,8,12,&24 You might find other smaller factors useful, but most of the time it's the gif that needs to be factored out: 3(x^2 + 3)

Answer:

Solution: f(5) = 96

Step-by-step explanation:

f(5) = 3(2)^5

f(5) = 3 (2 × 2 × 2 × 2 × 2)

f(5) = 3 (32)

f(5) = 96

Answer:

m = 9

Step-by-step explanation:

8/12 = 6/m

8m = 72

m = 9

Answer:

49 unit²

Step-by-step explanation:

Right triangle with equal legs given, let the leg be x.

Hypotenuse of isosceles right triangle is

Area of triangle:

Since we have hypotenuse = 14 units:

Then area:

Answer:

Step-by-step explanation:

-d - 4 = -8

-d = -4

d = 4

Answer:

d= 4

Step-by-step explanation:

4d - 4 = 5d – 8

Subtract 4d from each side

4d-4d - 4 = 5d-4d – 8

-4 = d-8

Add 8 to each side

-4+8 = d-8+8

4 =d

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

Answer:

Step-by-step explanation:

Since the school's parking lot is a square,

Area of a square = l²

where l is the length of one side

From the question

Area = 3025ft²

We have

3025 = l²

Find the square root of both sides

l = √3025

l = 55ft

The length of each side of the parking lot is 55ft

Hope this helps you

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   Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

Domain: all real numbers/ (-inf,inf)/ -inf<x<inf

Range: all real numbers greater than -4/  [-4,inf)/ -4≤y<inf

Step-by-step explanation:

the graphs/equations of ALL quadratics (parabolas) have a domain of all real numbers

The vertex of the parabola is at y=-4 so the range cannot be any less than that, and then both ends point up, so they will continue on for infinity.  

Hope i could help!

Answer:

75

Step-by-step explanation:

Mean = sum of all numbers / how many of numbers

=> 50 + 60 + 70 + 80 + 90 + 100 / 6

=> 450 / 6

=> 75

So, the mean of this data is 75.

Answer:

A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6

Step-by-step explanation:

A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.

When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.

To solve -8 - (-2) = -8 + 2

Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.

Answer:

C (3rd option)

Step-by-step explanation:

simplified the top one

Answer:

45 minutes faster

Step-by-step explanation:

Distance:

40 x 3.75 = 150

If travel 50 miles/h:

150/50 = 3

3.75 - 3 = 0.75 of hour

45 minutes

Hope that helped!!! k

Problem 2

Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]

Also, he forgot about the plus/minus.

This is what his steps should look like

[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]

There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation

Let's try out x = 7

x^2 - 6x - 7 = 0

7^2 - 6(7) - 7 = 0

49 - 42 - 7 = 0

0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1

====================================================

Problem 3

We will have

a = 1, b = -4, c = 3

plugged into the quadratic formula below to get...

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]

The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.

2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes

Answer:

x=30

Step-by-step explanation:

to find the value of x you have to find K(constant number).

[tex]\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\ 3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30[/tex]

Answer:

The value of x is 30

Step-by-step explanation:

Step 1: Find the scale factor

[tex]\frac{FA}{F B} =\frac{45}{27}[/tex]

Step 2: Use the scale factor to solve for x

[tex]\frac{45}{27} =\frac{x}{18}[/tex]

[tex](45)(18) = 27x[/tex]

[tex]810 = 27x[/tex]

[tex]x = 30[/tex]

Therefore x = 30

Answer:

-25

Step-by-step explanation:

Answer:

Hey there!

When we have a^b, b is the power.

Thus, in -5^2, 2 is the power.

Let me know if this helps, or if you need more help :)

Answer:

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.

Answer: -|-9|, -|9|, and the opposite of nine

Step-by-step explanation: The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.

Answer:

48 in.

Step-by-step explanation:

square

P = 4s

4s = 48 in.

s = 12 in.

triangle

s = 12 in. + 4 in.

s = 16 in.

P = 3s = 3(16 in.)

P = 48 in.

Answer:

Option 1 and option 4

Step-by-step explanation:

The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.

Answer:

12 [tex]\frac{2}{1}[/tex]

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Hey there!

Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.

Hope this helps :)

Answer:

90

Step-by-step explanation:

90 has 0 ones so 90 is just 90, but rounded...