What values of x satisfy x 2 + 2 x = 24?



- 6, - 4

- 6, 4

6, - 4

6, 4

Answer:

Tom's car went further

Step-by-step explanation:

Since there are 100 centimeters in 1 meter - Roberts car went nearly 1 and a half meters or Tom's car went 200 centimeters.

toms car went farther

Answer: Last option

Step-by-step explanation:

1. According to the properties of exponents, you have that:

[tex]a^{-n}=\frac{1}{a^n}\\\\(a^n)^m=a^{mn}[/tex]

2. Then, he must simplify the expression as following:

[tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]

3. Therefore, as you can see, should have also applied the negative exponent to 4 to get [tex](4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}[/tex]

Answer:

The correct answer option is He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].

Step-by-step explanation:

The following expression was to be simplified by Mario:

[tex] (4z^8)^-3 [/tex]

Given this expression, we need to apply this rule on it in order to simplify:

[tex] (a b)^m = a^m \cdot b^m [/tex]

So we would get:

[tex] (4z^8)^-3 [/tex]

[tex]4^{-3} \cdot (z^8)^{-3}[/tex]

[tex]\frac{1}{4^3} \cdot z^{-24}[/tex]

[tex]\frac{1}{64z^{24}}[/tex]

This would be the right simplification for the given expression but by looking at Mario's work shown, we can conclude that:

He should have also applied the exponent -3 to 4 to get [tex]4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}[/tex].

Answer: $2

Step-by-step explanation: this is only if everything is the same price.

Answer: third option

Step-by-step explanation:

You have the following information given in the problem:

- The dimensions of Kyra's bed is:

[tex]4feet*5feet[/tex]

- The scale factor she used was: [tex]\frac{1}{5}[/tex]

Therefore, keeping the above on mind, you can find the the dimensions of the model bed she built by multipliying the dimensions of her bed by the scale factor:

[tex]\frac{1}{5}*4ft=0.80ft\\\\\frac{1}{5}*5ft=1.00ft[/tex]

Then, the answer is:

[tex]0.80ft*1.00ft[/tex]

Answer:

[tex]4-i[/tex]

Step-by-step explanation:

The distance of a complex number

[tex]z=a+bi[/tex]

from the origin is given by:

[tex]|z|=\sqrt{(a-0)^2+(b-0)^2}[/tex]

[tex]|z|=\sqrt{a^2+b^2}[/tex]

The length of  [tex]2+15i[/tex] is;

[tex]=\sqrt{2^2+15^2}[/tex]

[tex]=\sqrt{4+225}[/tex]

[tex]=\sqrt{229}[/tex]

The length of  [tex]17+i[/tex] is;

[tex]=\sqrt{17^2+1^2}[/tex]

[tex]=\sqrt{289+1}[/tex]

[tex]=\sqrt{290}[/tex]

The length of  [tex]20-3i[/tex] is;

[tex]=\sqrt{20^2+3^2}[/tex]

[tex]=\sqrt{400+9}[/tex]

[tex]=\sqrt{409}[/tex]

The length of  [tex]4-i[/tex] is;

[tex]=\sqrt{4^2+1^2}[/tex]

[tex]=\sqrt{16+1}[/tex]

[tex]=\sqrt{17}[/tex]

The correct choice is D

Answer:

The correct one is b nice you chose the right one!

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

10 x 8 x 4 x 3

Hope This Helped

Regards Jaygtgajm11

Disclaimer: The number of cities in Asia will be 8 and not 888.

Elyse can choose from 960 different combinations of cities.

The different ways in which objects from a set can be picked, often without replacement, to produce subsets are known as permutations and combinations. When the order of selection is a factor, this selection of subsets is termed a permutation; when order is not a factor, it is called a combination.

We are given 4 continents, with a number of cities to choose from for Elyse to visit.

The table is like this:

Continent                          Number of cities

Europe                                           10

Asia                                                8

Africa                                              4

Australia                                         3

We use permutations and combinations to find the number of combinations Elyse will have to choose from.

We can say that for every 10 cities in Europe, she can choose any of the 8 cities in Asia. Similarly, for every 8 cities in Asia, she can choose any of the 4 cities in Africa. And similar is the case for Africa and Australia.

∴ Elyse can choose from a combination of 10*8*4*3 cities,

or, Elyse can choose from a combination of 960 cities.

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Answer:

Option D. (6, 2)

Step-by-step explanation:

we know that

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

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

substitute

[tex]M(\frac{3+9}{2},\frac{-1+5}{2})[/tex]

[tex]M(\frac{12}{2},\frac{4}{2})[/tex]

[tex]M(6,2)[/tex]

Answer:

34,860

Step-by-step explanation:

In a sample of 32 residence, 24 take Vitamin C. From here we can get the proportion of residents who take Vitamin C, which is 24/32 = 3/4 = 0.75

0.75 in  percentage is 75%. This means 75% of the residents in sample take Vitamin C.

We can expect the same percentage of people in entire population to take Vitamin C.

Total population of city = 46480

Expected number of residents who take vitamin C in the city = 75% of 46480

= 0.75 x 46480

= 34860

This means, 34860 is an estimate of number of city residents who take Vitamin C supplement daily.

Based on the sample study and assuming its representativeness of the general population, it is estimated that approximately 34,860 residents of the city take a vitamin C supplement daily.

In the sample study, the proportion of residents who take vitamin C supplements daily is calculated by dividing the number of individuals who reported taking the supplement (24) by the total number of individuals in the sample (32). This yields a proportion of 0.75, or 75%. Then, we can apply this proportion to the total population of the city to estimate the number of residents who take vitamin C daily. Therefore, the estimated number is 0.75 * 46,480 = 34,860.

In conclusion, assuming that the small sample is representative of the larger population, we would estimate that "approximately 34,860" city residents take a vitamin C supplement daily.

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➷ You have to find two values that will multiply to give -32 and add to give -4

Through trial and error, you will find that the two values are -8 and +4

Place these in:

(x + 4)(x - 8)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

D

Step-by-step explanation:

Two events are independent if the intersection of the two events is the same as multiplying each events probability.

P (Texas) = 125/ 275 = 0.45

P (Brand A) = 176/275 = 0.64

0.45 * 0.64 = 0.29

P (Texas ∩ Brand A) = 0.29

So to find P (Texas | Brand A) = 0.29 / 0.64 = 0.45

Answer choice D makes the best choice.

maybe 1200 because you multiply by 8 or 16/2

Answer:

m<BED = 136 deg

Step-by-step explanation:

Since ray EC bisects <BED, angles BEC and CED are congruent. That means their measures are equal. Set the measures equal to each other, and solve for x.

11x + 2 = 8x + 20

Subtract 8x from both sides.

3x + 2 = 20

Subtract 2 from both sides.

3x = 18

Divide both sides by 3.

x = 6

Now we use the value of x to find the measure of angle BED.

The measure of angle BED is twice the measure of angle BEC. We know that x = 6.

m<BED = 2m<BEC = 2(11x + 2) = 2(11 * 6 + 2) = 2(66 + 2) = 2(68) = 136

Answer: 2 1/4

Step-by-step explanation:

Convert both to same denominators and mixed numbers

1 1/2 = 1 2/4 = 6/4

3/4 = 3/4

3/4*6/4 = 18/16

Simplify: 9/4 = 2 1/4

Answer:

Your question is the answer

Step-by-step explanation:

None of the terms can be simplified further

525

Because the nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9

In given number 524.95, place value of 9 is tenth. So, the nearest ten is 525.0

The place value is the position of each digit in a number.

The nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9

524.9 = 525.0

Therefore, the answer is 525.0

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The two little lines through the two sides of the triangle mean that they are the same length.

When two sides of a triangle are the same, the two lower inside angles are also the same.

Angle A is given as 50 degrees, so angle C is also 50 degrees.

The sum of the three inside angles need to equal 180 degrees, so angle B would equal 180 - 50 - 50 = 80 degrees.

Angle B = 80

Angle C = 50

Here is your answer 651 2/12

hope this helps.

Please mark me as brainliest.

Answer:

651  2/12

Step-by-step explanation:

Answer:

[tex]h=(x^{4}+4x^{3}+8x+4)/(x^{3}+3x^{2}+8)[/tex]

Step-by-step explanation:

Let

h------> the height of the prism

we know that

The volume of the prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height of the prism

In this problem we have

[tex]V=x^{4}+4x^{3}+8x+4[/tex]

[tex]B=x^{3}+3x^{2}+8[/tex]

substitute and solve for h

[tex]x^{4}+4x^{3}+8x+4=(x^{3}+3x^{2}+8)h[/tex]

[tex]h=(x^{4}+4x^{3}+8x+4)/(x^{3}+3x^{2}+8)[/tex]

Answer:

The vertical distance the ant have to walk is 8 units

Step-by-step explanation:

∵ The ant must be walk vertically and horizontally

∴ The distance from start point to end point will be as

   a hypotenuse of a right angle triangle

∵ The ant would have to walk 6 units horizontally that

   means one side of the right angle is 6 units

∵ The two points are apart by 10 units that means

   the length of the hypotenuse is 10 units

∴ The vertical distance the ant would have to walk is

   the length of the second side of the right angle

* By using Pythagoras Theorem:

∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²

∴ 10² = 6² + (vertical leg)²

∵ (vertical leg)² = 100 - 36 = 64

∴ Vertical leg  = √64 = 8 units

∴ The vertical distance the ant have to walk is 8 units

t=100

p=3000

t 1/2 = 20

Try inserting the numbers in the half-life formula.

Answer:

93.75 gm.

Step-by-step explanation:

We have been given that an element has half life of about 20 days. We are asked to find the amount of 3000 gm sample left after 100 days.

We will use half-life formula to solve our given problem.

[tex]A=a\cdot (\frac{1}{2})^{\frac{t}{h}}[/tex], where,

A = Amount left after t units of time,

t = Time,

a = Initial amount,

h = Half-life.

Upon substituting our given values in above formula, we will get:

[tex]A=3000\cdot (\frac{1}{2})^{\frac{100}{20}}[/tex]

[tex]A=3000\cdot (0.5)^{5}[/tex]

[tex]A=3000\cdot 0.03125[/tex]

[tex]A=93.75[/tex]

Therefore, 93.75 gm of sample is left after 100 days.

Answer: ∠D.

Step-by-step explanation:

because they are in the same position (2nd letter placement)

If quadrilaterals CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.

Hence ∠D is correct.

If CDEF and MNPQ are congruent,

Then it means they have the same shape and size.

In other words, all of their corresponding angles and sides are equal.

Therefore, if ∠C is congruent to ∠M,

∠D is congruent to ∠N,

∠E is congruent to ∠P, and

∠F is congruent to ∠Q.

This is because congruence is a relation of equality between two geometric figures.

So, if two triangles (or any other polygons) are congruent,

Then all of their corresponding angles and sides are equal.

Therefore, if CDEF ≅ MNPQ, then it follows that ∠N ≅ ∠D.

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Answer:

i cant see the picture

Step-by-step explanation:

Assuming 0x6A is given in base 16, first convert [tex]152_b[/tex] and [tex]6A_{16}[/tex] to a common base, say base 10:

[tex]152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}[/tex]

[tex]6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}[/tex]

Then

[tex]b^2+5b+2=106[/tex]

[tex]b^2+5b-104=(b-13)(b+8)=0[/tex]

[tex]\implies b=13[/tex]

Answer:

The value of b is, 8

Step-by-step explanation:

Determine the value of b;

Given:

[tex](152)_b = 0x6A[/tex]             ....[1]

Since, 0x6A represents the hexadecimal form.

First convert this hexadecimal form into decimal form:

[tex](6A) = (6 \times 16^1)+(A \times 16^0) = (96)+(10 \times 1) = 96+10 = 106[/tex]

⇒[tex]0x6A = 106[/tex] (decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

     |   1    | 5

          1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute these in [1] we have;

[tex](152)_b=(152)_8[/tex]  

On comparing both sides we get;

b = 8

Therefore, the value of b is, 8

If we call the unknown number x, we have:

If this equals 34, we have

[tex]7x-8=34[/tex]

Add 8 to both sides:

[tex]7x=42[/tex]

Divide both sides by 7:

[tex]x=6[/tex]

I think the answer is 2 and 3.

x=1,2,3,5

y=5,3,2,1

see the image

Answer:

-11+3=-8

-8=4/3x

-8/(4/3)=x

x=6

Answer: 6/5 and -6/5

Step-by-step explanation: In order to solve this problem, we want to get the variable on one side. In order to do that, we must do the following:

Add 36 on Both Sides:

[tex]25x^2 - 36+36 = 0+36[/tex]

Divide 25 on Both Sides:

[tex]\frac{25x^2}{25}= \frac{36}{25}[/tex]

Take the square root of Both Sides:

[tex]\sqrt{x^2} = \sqrt{\frac{36}{25} }[/tex]

That means your answer is:

[tex]x = \frac {6}{5}[/tex], or [tex] -\frac {6}{5} [/tex]

Answer:

x=4.5

Step-by-step explanation:

Answer:

[tex]x = 4.5[/tex]

Step-by-step explanation:

[tex]2x - 3 = 6 \\ 2x = 6 + 3 \\ 2x = 9 \\ \frac{2x}{2} = \frac{9}{2} \\ x = 4.5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The option B (4 5/8,-2 3/4)  = (4.6 , -2.75) will be the coordinates belonging in the box.

Step-by-step explanation:

A.(4 3/4,-3 3/4) = (4.75,-3.75)

B.(4 5/8,-2 3/4)  = (4.6 , -2.75)

C.(4 1/4,-5 1/2)  = (4.25, -5.5)

D.(4 1/8,-2 3/5) = (4.125, -2.6)

The first point of line segment is: (5.5, -4.25)

second will be (4.75,-3.75)

third will be (4.6 , -2.75)

fourth will be (4.125, -2.6)

and fifth is  (3.75,-1.25)

The option C is not correct i.e not included in line segment.

The option B will be the coordinates belonging in the box.