Solve for X please help

Solve For X Please Help

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]


Related Questions

HELP PLEASE ASAP!!!!!!

Answers

Answer:

a. d(x) = x

b. yes

Step-by-step explanation:

a. since c(x) = [tex]x^{2}[/tex] + 1

c(d(x)) = (d(x))^2 + 1 (replace x with d(x))

that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1

b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5

d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5

Write the slope-intercept form of the equation of the line through the given point with the given slope.

Through: (4, -3), slope=1/2

Answers

Answer:

y = 1/2x - 5

Step-by-step explanation:

y = 1/2x + b

-3 = 1/2(4) + b

-3 = 2 + b

-5 = b

what is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters? (no links or bots please)​

Answers

Answer

A=15cm²

Step-by-step explanation:

let me know if im please :)

At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?

Answers

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juice

Same for the ham:

Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and water

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

Simplify:
8x4 – 3x – 7 = [?]
x=-1

Answers

Answer:

4

Step-by-step explanation:

8×(-1)⁴-3×(-1)-7=8+3-7=4

Answer:

4

Step-by-step explanation:

Substitute x = - 1 into the expression

8[tex](-1)^{4}[/tex] - 3(- 1) - 7

= 8(1) + 3 - 7

= 8 + 3 - 7

= 11 - 7

= 4

Rezolvați în mulțimea numerelor reale ecuația:

x+15−2x−12=x10

DAU COROANA!

Answers

-x10−x+3=0

x≈−1.1530188,1.06806865

Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the distance Raj walked

Answers

Answer:

Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes

Step-by-step explanation:

A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?

Answers

Answer:

2a(a+2b) square metres

Step-by-step explanation:

surface area of a box = 2(lw+wh+lh)

l is the length = a metres

w is the width = a mtres

h is the height = b metres

Substitute into the formula

surface area of a box = 2(a*a+ab+ab)

surface area of a box = 2(a² + 2ab)

surface area of a box = 2a(a+2b) square metres

This give sthe surface area of the box

Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point J after a dilation with a scale factor of 3?

Answers

Given:

The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).

To find:

The coordinates of the image of point J after a dilation with a scale factor of 3.

Solution:

If a figure is dilated by a scale factor of k, then

[tex](x,y)\to (kx,ky)[/tex]

The given triangle JKL dilated by a scale factor of 3. So,

[tex](x,y)\to (3x,3y)[/tex]

The coordinates of point J are J(0,2). By using the above rule, we get

[tex]J(0,2)\to J'(3(0),3(2))[/tex]

[tex]J(0,2)\to J'(0,6)[/tex]

Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).

At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?

Answers

Answer:

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .

A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .

solution 2

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.

In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in

minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .

A small pond contains nine catfish and two bluegill. If nine fish are caught at random, what is the probability that all of them are catfish?

Answers

Answer:

63/3465

Step-by-step explanation:

A small pond contains nine catfish and two bluegill.

Total number of fish = 9 catfish + 2 blue hill

= 11 fishes

Probability of picking one catfish = P(C) = P(9/11)

Probability of picking one bluegill = P(B) = P(2/11)

If nine fish are caught at random, the probability that all of them are catfish is calculated as:

= P(9 Catfish) = 9/11 × 8/10 × 7/9 × 6/8 × 5/7 × 4/6 × 3/5 × 2/4 × 1/3

= 362880/19958400

Further simplifying to the simplest fraction:

= 189/10395

= 63/3465

b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).

Answers

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

multiply 3x3yand 4x3
Here,​

Answers

Answer:

21

Step-by-step explanation:

Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box?

Answers

Answer:

5 cupcakes per box

Step-by-step explanation:

45 ÷ 9 = 5

:)

Answer:

45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!!  9 x 5 is equal to 45.

Step-by-step explanation:

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{6}[/tex] units = g

Step-by-step explanation:

You can solve this either of the 2 ways:

#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]

=> Sin(60) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]

=> Cos(30) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

Hope this helps!

Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.

Please answer fast!!

Answers

Answer:

The baby gained 29 oz.

Step-by-step explanation:

1 pound is equal to 16 oz (ounces).

10 pounds is equal to 10 x 16 oz = 160 oz.

8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.

160 oz - 131 oz = 29 oz.

The baby gained 29 oz.

If this helps please mark as brainliest

which statement is not true about the absolute value of -6?

Answers

Answer:

first statement

Step-by-step explanation:

The absolute value of - 6 is | - 6 | = | 6 | = 6

The absolute value is always positive as it is a measure of the distance from the origin to - 6 and distance is always positive.

It is not the distance between 6 and - 6 on the number line.

Find BC if B (8,-7) and C (-4,-2)

Answers

BC = 15
good luck :))

Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?

Answers

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

A restaurant must add 15% tax to the price of a meal.
a Here are some bill totals before tax is added. Work out the bill after tax is added.
i $42.20 ii $19.50 iii $64.80

Answers

1. 48.53
2. 22.42
3. 74.52

2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)​

Answers

Answer:

3/5

cups of rice over cups of water

Step-by-step explanation:

I'm sorry I only know one way.

There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?

Answers

Answer:

2/51

Step-by-step explanation:

# of brown socks = 4

# of blue socks = 14

total # of socks = 18

The probability of pulling 1 brown sock = 4/18

If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks

So after the first pull ( if it were to be a brown sock )

there would only be 3 brown socks and 17 total socks

So the probability of pulling a brown sock then would be 3/17

Finally we multiply the two probabilities to get the answer

4/18 * 3/17 = 2/51

Hence, the answer is 2/51

Find the area of the figure.

Answers

Answer:

89 m²

Step-by-step explanation:

Area of rectangle = 8 x 13 = 104

Area of triangle = (5 x 6) / 2 = 15

104 - 15 = 89 m²

The diagram shows a triangle.

What is the value of w?

Answers

Answer:

value of W=180-(115+33)

= 180-148

=32

Please help! Will give branliest for correct answer !
God Bless uu!!

Answers

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

322 sq. km

Step-by-step explanation:

the area of fig. =

(½×18×21)+(13×4)+(9×9)

= 189+52+81

= 322 sq. km

The volume of a cylinder is 62.8 cubic meters and the radius is 2 meters.
Find the height of the cylinder. Round to the nearest meter.

Answers

Answer:

Height: 5meters

Step-by-step explanation:

Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.

3 x -2 x 4 x -3=
process !!!

Answers

Answer:

3 x -2 x 4 x -3 = 72.

PLZZZ HELPP WILL REWARD BRAINLEST
Write the polynomial in standard form, name it by its number of terms, and tell its degree
2v^2-2v^3-7+7v

-3m-8-7m^2

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

() 2v² - 2v³ - 7 + 7v :

Standard Form → 2v³ + 2v² + 7v - 7v

Number of terms → Four (Polynomial)

Degree of Polynomial → Highest degree 3 (Cubic)

(Ⅱ) -3m -8m -7m²

Standard Form → -7m² - 8m - 3m

Number of terms → Three (Trinomial)

Degre of Polynomial → Highest degree 2 (Quadratic)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Pumpkin seeds cost $6.00 per pound at the store. Make a T-chart and graph the proportional relationship between the number of pounds of pumpkin seeds and the total cost.

p c
1
2
3
4

Answers

Answer:

Step-by-step explanation:

1-$6

2-$12

3-$18

4-$24

Hope it helps you

What decision rules are the best/worst? Be able to rank the rules from worst-to-best or best-to-worst.

Answers

Answer:

NPV, IRR, payback.

Step-by-step explanation:

The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,

-- the decision rule that is best is the NPV

-- the decision rule that is worst is payback period

The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.

The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.

And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.

Therefore, ranking the rules from best to worst is : NPV, IRR, payback.

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