I need help on this problem step by step:) It would help me a lot

Answer:

no solutions

Step-by-step explanation:

6-3x=4-x-3-2x

Combine like terms

6-3x =1 -3x

Add 3x to each side

6 -3x+3x = 1-3x+3x

6 =1

This is not true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x

Add or subtract like terms if possible.

6 - 3x = -3x + 1

Add -1 and 3x on both sides.

6 - 1 = -3x + 3x

5 = 0

There are no solutions.

Answer:

y=5

solution,

X=2

now,

[tex] \\ 5x - y = 5 \\ or \: 5 \times x - y = 5 \\ or \: 5 \times 2 - y = 5 \\ or \: 10 - y = 5 \\ or \: - y = 5 - 10 \\or \: - y = - 5 \\ y = 5[/tex]

hope this helps..

Good luck on your assignment..

Answer:

  see the attachment for a graph

Step-by-step explanation:

The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.

Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.

Answer:

3

Step-by-step explanation:

Step 1: Isolate y

5y < 20

y < 4

When we figure out the inequality, we see that y has to be less than 4. Therefore, the highest integer value will have to be 3.

Answer:

Ok, in a deck of 52 cards we have:

13 clubs, 13 diamonds, 13 hearts, and 13 spades.

For this problem, we assume that the probability of selecting a card at random is the same for all the cards,  so each card has a  probability of 1/52 of being selected.

then the probability of drawing a given outcome, is equal to the number of times that the outcome appears in the deck divided the number of cards.

a) probability of randomly selecting a diamond or club.

in the 52 cards deck, we have 13 diamonds and 13 clubs, so the probability of drawing a diamond or a club is equal to:

P = (13 + 13)/52 = 26/52 = 0.5

b) Compute the probability of randomly selecting a diamond or club or heart.

Same reasoning as before, here we have 13 + 13 + 13 = 39 possible options, so the probability is:

p = 39/52 = 0.75.

c)  Compute the probability of randomly selecting a three or club.

we have 13 club cards, and in the deck, each number appears 4 times, so we have 4 cards with a number 3 on them.

But one of those 3's is also a club card, so we already counted it in the 13 club cards, then the number of possible options here is:

13 + 4 - 1 = 13 +3 = 16

then the probability is:

p = 16/52 = 0.31

To solve the questions we must know the concept of Probability.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Explanations

​(a) Compute the probability of randomly selecting a diamond or club.

The number of diamond cards = 13

The number of club cards = 13

The total number of diamond and club cards = 26

[tex]\rm{Probability(Diamond\ or\ club)=\dfrac{Number\ of\ diamond\ or\ club\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(Diamond\ or\ club)=\dfrac{26}{52}=\dfrac{1}{2} = 0.5 = 50\%[/tex]

​(b) Compute the probability of randomly selecting a diamond or club or heart. ​

The number of diamond cards = 13

The number of club cards = 13

The number of heart cards = 13

The total number of diamond, heart, and club cards = 39

[tex]\rm{Probability(Diamond\ or\ club\ or\ hearts)=\dfrac{Number\ of\ diamond\ or\ club\ or\ hearts\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(Diamond\ or\ club\ or\ hearts)=\dfrac{39}{52}=\dfrac{3}{4} = 0.75 = 75\%[/tex]

(c) Compute the probability of randomly selecting a three or club.

The number of three cards = 4

The number of club cards = 13

The total number of diamond and club cards = 13+4 - 1 =16

we reduced a card because card three of the club is calculated twice.

[tex]\rm{Probability(three\ or\ club)=\dfrac{Number\ of\ three\ or\ club\ cards}{Total\ Number\ of\ cards}[/tex]

[tex]\rm{Probability(three\ or\ club)=\dfrac{16}{52}=0.3077 = 30.77\%[/tex]

Learn more about Probability:

https://brainly.com/question/743546

Answer: $3267.40

Step-by-step explanation:

A = P (1+r/n)^nt

A= 2500 (1+0.055)^nt

A= 2500 x 1.30696

A = 3267.40

Answer:

Step-by-step explanation:

i think its 3

Answer:

0

Step-by-step explanation:

You cannot make any triangles with this angle

Answer:

X=3 or x= -3

Step-by-step explanation:

2x^2 - 18 =0

Take a common factor

2(x^2 - 9) = 0

2(x-3)(x+3)=0

X-3=0 or x+3=0

X=3 x=-3

Hope this helps!

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY!

Answer:

Solution,

[tex]h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13[/tex]

hope this helps...

Good luck on your assignment..

Answer:

h(x)=9x-13

Step-by-step explanation:

We want to find out what h(x) is. We know what h(x) is equal to, which is

h(x)= f(x)+g(x)

We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.

h(x)= (2x-1)+(7x-12)

Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.

h(x)=(2x+7x)+(-1+-12)

Add 2x and 7x.

h(x)=(2+7)(x)+(-1+-12)  

h(x)= 9x+(-1+-12)

Add -1 and -12.

h(x)= 9x+(-13)

h(x)=9x-13

Answer:

6 pounds

Step-by-step explanation:

Answer:

101-120=4

Step-by-step explanation:

All that you need to do is count how many data points fall into this category. In this case, there are four data points that fall into the category of 101-120 pushups

Therefore, the answer to the blank is 4. If possible, please mark brainliest.

Answer:

There are 4 numbers between 101 and 120.

Step-by-step explanation:

101-120: 105, 111, 111, 113 (4 numbers)

Answer:

2 to the 3rd power,

2*2*2

4 to the 3rd power,

4*4*4

Step-by-step explanation:

The "3rd power" means how many times the number given to it would be multiplied. Aka, 2 to the 4th power would mean 2 times 2 times 2 times 2, (2 four times).

Answer:

[tex]\huge\boxed{Option \ 1}[/tex]

Step-by-step explanation:

Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.

Hope this helped!

Subtract the ceiling fan from the height of the room:

8.4 - 1.875 = 6.525 feet

The answer is:

Maury’s head will hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6.

Answer:

it is A

Step-by-step explanation:

Answer:

d on edge

Step-by-step explanation:

-3(x+4)(x-2)/x^2-1`

The equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

The x-intercepts of the rational function are given as: -4 and 2.

This means that, the zeroes of the function are (x + 4) and (x -2)

Multiply the zeroes of the function

[tex]f(x) = (x + 4)(x -2)[/tex]

The vertical asymptotes of the rational function are given as: 1 and -1.

This means that, the denominator is the product of (x + 1) and (x -1)

So, we have:

[tex]f(x) = \frac{(x + 4)(x -2)}{(x + 1)(x-1)}[/tex]

Express the denominator as the difference of two squares

[tex]f(x) = \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Lastly, the horizontal asymptote is given as y = -3.

So, the actual function is:

[tex]f(x) = y \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Substitute -3 for x

[tex]f(x) = -3 \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

This gives

[tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

Hence, the equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

Read more about rational functions at:

https://brainly.com/question/1851758

Answer:

Step-by-step explanation:

Let a = original amt in the savings account

"He spent $48 on a radio and 3/8 of what was left on presents for his friends."

Therefore he kept 5/8 of what was left

5/8(a - 48)

5/8(a - 30) left

:

John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.

a = 2/3(5/8a - 30) + 100

a = 5/12a - 20 + 100

a = 5/12a + 80

a - 5/12a = 80

7/12a = 80

a = $137.17 originally in his saving acct

Step-by-step explanation:

2) 63

3) 7000

4) 10

These are some answers

Answer:

9.34%

Step-by-step explanation:

p = 4%, or 0.04

n = Sample size = 667

u = Expected value = n * p = 667 * 0.04 = 26.68

SD = Standard deviation = [tex]\sqrt{np(1-p)} =\sqrt{667*0.04*(1-0.04)}[/tex] = 5.06

Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?

This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35

Since,

Z = (X - u) / SD

We have;

Z = (33.35 - 26.68) / 5.06

Z = 1.32

From the Z-table, the p-value of 1.32 is 0.9066

1 - 0.9066 = 0.0934, or 9.34%

Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.

Answer:

(-1)² = 1

-1² = -1

Step-by-step explanation:

(-1)² means you are squaring the value of -1 to -1.

-1² means you are squaring the value of -1 to 1.

Answer:

Step-by-step explanation:sin

(

t

h

e

t

a

)

=

√

7

4

cos

(

t

h

e

t

a

)

=

3

4

tan

(

t

h

e

t

a

)

=

√

7

3

cot

(

t

h

e

t

a

)

=

3

√

7

7

sec

(

t

h

e

t

a

)

=

4

3

csc

(

t

h

e

t

a

)

=

4

√

7

7

Answer:

[tex]solution \\ 2x - 3 = x + 4(being \: alternate \: exterior \: angles) \\ or \: 2x - x = 4 + 3 \\ x = 7 \\ hope \: it \: helps[/tex]

Answer:

x = 16.5

Step-by-step-explanation:

The height of the larger triangle is 11, and the height of smaller triangle is 2. Which means that the larger triangle height is 5.5 times greater than the smaller triangle's height.

If the base of the smaller triangle is 3, that means that base of the whole/larger triangle is 16.5 because 3 * 5.5 = 16.5

Answer:

$394,772.11

Step-by-step explanation:

This requires using compound interest as follows:

Principal = $5,000

Time = 25 years

Interest rate per annum = 8%

1st year: principal = 5000

Interest capitalized (5000*0.08) = 400

Amount (5000 + 400) = $5400

2nd year: principal = 5400 + 5000 = 10,400

Interest capitalized (10,400*0.08) = 832

Amount (10,400 + 832) = $11,232

3rd year: principal = 11,232+5000 = $16,232

Interest capitalized (16,232*0.08) = 1,298.56

Amount (16,232+1,298.56) = $17,530.56

4th year: principal = 17,530.56+5000 = $22,530.56

Interest capitalized (22,530.56*0.08) = 1,802.45

Amount (22,530.56+1,802.45) = $24,333.01

5th year: principal = 24,333.01+5000 = $29,333.01

Interest capitalized (29,333.01 * 0.08) = 2,346.64

Amount (29,333.01 + 2,346.64) = $31,679.65

6th year: principal = 31,679.65 + 5000 = $36,679.65

Interest capitalized (36,679.65 * 0.08) = 2,934.37

Amount (36,679.65 + 2,934.37) = $39,614.02

7th year: principal = 39,614.02 + 5000 = $44,614.02

Interest capitalized (44,614.02 * 0.08) = 3,569.12

Amount (44,614.02 + 3,569.12) = $48,183.14

8th year: principal = 48,183.14 + 5000 = $53,183.14

Interest capitalized (53,183.14 * 0.08) = 4,254.65

Amount (53,183.14 + 4,254.65) = $57,437.79

9th year: principal = 57,437.79 + 5000 = $62,437.79

Interest capitalized (62,437.79 * 0.08) = 4,995.02

Amount (62,437.79 + 4,995.02) = $67,432.81

10th year: principal = 67,432.81 + 5000 = $72,432.81

Interest capitalized (72,432.81 * 0.08) = 5,794.63

Amount (72,432.81 + 5,794.63) = $78,227.44

11th year: principal = 78,227.44 + 5000 = $83,227.44

Interest capitalized (83,227.44 * 0.08) = 6,658.20

Amount (83,227.44 + 6,658.20) = $89,885.64

12th year: principal = 89,885.64 + 5000 = $94,885.64

Interest capitalized (94,885.64 * 0.08) = 7,590.85

Amount (94,885.64 + 7,590.85) = $102,476.49

13th year: principal = 102,476.49 + 5000 = $107,476.49

Interest capitalized (107,476.49 * 0.08) = 8,598.12

Amount (107,476.49 + 8,598.12) = $116,074.61

14th year: principal = 116,074.61 + 5000 = $121,074.61

Interest capitalized (121,074.61 * 0.08) = 9,685.97

Amount (121,074.61 + 9,685.97) = $130,760.58

15th year: principal = 130,760.58 + 5000 = $135,760.58

Interest capitalized (135,760.58 * 0.08) = 10,860.85

Amount (135,760.58 + 10,860.85) = $146,621.43

16th year: principal = 146,621.43 + 5000 = $151,621.43

Interest capitalized (151,621.43 * 0.08) = 12,129.71

Amount (151,621.43 + 12,129.71) = $163,751.14

17th year: principal = 163,751.14 + 5000 = $168,751.14

Interest capitalized (168,751.14 * 0.08) = 13,500.09

Amount (168,751.14 + 13,500.09) = $182,251.23

18th year: principal = 182,251.23 + 5000 = $187,251.23

Interest capitalized (187,251.23 * 0.08) = 14,980.10

Amount (187,251.23 + 14,980.10) = $202,231.33

19th year: principal = 202,231.33 + 5000 = $207,231.33

Interest capitalized (207,231.33 * 0.08) = 16,578.51

Amount (207,231.33 + 16,578.51) = $223,809.84

20th year: principal = 223,809.84 + 5000 = $228,809.84

Interest capitalized (228,809.84 * 0.08) = 18,304.79

Amount (228,809.84 + 18,304.79) = $247,114.63

21st year: principal = 247,114.63 + 5000 = $252,114.63

Interest capitalized (252,114.63 * 0.08) = 20,169.17

Amount (252,114.63 + 20,169.17) = $272,283.8

22nd year: principal = 272,283.8 + 5000 = $277,283.8

Interest capitalized (277,283.8 * 0.08) = 22,182.70

Amount (277,283.8 + 22,182.70) = $299,466.5

23rd year: principal = 299,466.5 + 5000 = $304,466.5

Interest capitalized (304,466.5 * 0.08) = 24,357.32

Amount (304,466.5 + 24,357.32) = $328,823.82

24th year: principal = 328,823.82 + 5000 = $333,823.82

Interest capitalized (333,823.82 * 0.08) = 26,705.91

Amount (333,823.82 + 26,705.91) = $360,529.73

25th year: principal = 360,529.73 + 5000 = $365,529.73

Interest capitalized (365,529.73 * 0.08) = 29,242.38

Amount (365,529.73 + 29,242.38) = $394,772.11

Answer:

We need a sample of at least 1937.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

[tex]\pi = 0.72[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample should be if you want your estimate to be within 0.02 with 95% confidence.

We need a sample of at least n.

n is found when M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.72*0.28}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.72*0.28}}{0.02}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.72*0.28}}{0.02})^{2}[/tex]

[tex]n = 1936.16[/tex]

Rounding up to the nearest number.

We need a sample of at least 1937.

Hey there!

Answer:

25.1 units.

Step-by-step explanation:

Calculate the lengths of sides AB, BC and AC. Use the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Solving for AB:

[tex]d = \sqrt{(4 -(-4))^2 + (5-(-1))^2}[/tex]

[tex]d = \sqrt{8^2 + 6^2}[/tex]

[tex]d = \sqrt{100}[/tex]

[tex]AB = 10[/tex]

Solving for BC:

This side is a vertical line, meaning simply find the difference of y values between each endpoint.

[tex]5-(-2) = 7[/tex]

[tex]BC = 7[/tex]

Solving for AC:

[tex]d = \sqrt{(4-(-4))^2 + (-2-(-1))^2}[/tex]

[tex]d = \sqrt{(8)^2 + (-1)^2}[/tex]

[tex]d = \sqrt{65}[/tex]

d≈ 8.06 units

Add up all of the side lengths:

10 + 7 + 8.06 = 25.06 ≈ 25.1 units.

Answer:

1/5

Step-by-step explanation:

20*5 = 100, so 20 is 1/5

Answer:

11

Step-by-step explanation:

Answer:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures [tex]45^o[/tex]. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

[tex](\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}[/tex]

We use just the positive root, since we are looking for an actual length. then, the requested side is:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

Answer:

C'A' = 10units (A)

Question

A complete question related to this found at brainly(question ID 2475535) is stated below.

Triangle ABC was dilated using the rule Dy, 5/4

If CA = 8, what is C'A'?

10 units

12 units

16 units

20 units

Step-by-step explanation:

Given:

Scale factor = 5/4

CA = 8units

Find attached the diagram for the question.

This is a question on dilation. In dilation, figures have the same shapes but different sizes.

Y is the center of dilation

Lengths of ∆ABC: CB, AB, CA

Lengths of ∆A'B'C': C'B', A'B', C'A'

C'B' = scale factor × CB

A'B' = scale factor × AB

C'A' = scale factor × CA

C'A' = 5/4 × 8

C'A' = 40/4

C'A' = 10units (A)

Answer:

x = 2

Step-by-step explanation:

the equation of the line can be found using the slope intercept form

y = mx +b

y= -3/2 x + 3

x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so

0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would

-3 = -3/2 x  (divide by -3/2 on both sides to cancel out the -3/2)  

x = 2