5.03)
Factor x2 - 4x + 5. (4 points)

38 inches.

(3 x 12) + 2 = 38 inches.

Answer:

C.3(x + 2) can be rewritten as 3x + 6

Step-by-step explanation:

Given 3(x+2)

Evaluating the expression by opening the parenthesis;

3(x+2) = 3(x) + 3(2) Distributive law

3(x+2) =3x + 6

Hence 3(x+2) is equivalent to 3x+6

Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6

Answer:

1. 0

3. 17/20

5. 1/21

7 1 7/20

9. 1 7/30

11. 29/40

17. 1/6

13. 4/35

15. 1 1/3

Step-by-step explanation:good luck I hope I didn’t get any wrong

Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

[tex]y=kx[/tex]

where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

Answer:

.96 or 24/25

Step-by-step explanation:

Hope this helps!

Answer:

24/25

Step-by-step explanation:

3/25 × 8/1

8 × 3/25

3×8/ 25×1

24/25×1

24/25

Answer:

0.48

Step-by-step explanation:

I timed the percentage 0.16×3=0.48

The slope is -1/6.

Using the slope formula m = (y₂-y₁)/(x₂-x₁),

m = (6-7)/(9-3) = -1/6

Because the slope is negative, the line is decreasing.

The length of the kites longer diagonal will be 40 units. Option C is correct.

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

The digrame attached shows the length of all the sides as;

AB=37 units

BE = 12 units

BD = 13 units

BE = 12 units

To find:

The length of the kite’s longer diagonal, AD

From the figure it is observed the longest diagonal is the addition of  the sides from the top of the triangle as;

From the triangle, AEB, according to Pythagoras theorem,

h²=p²+b²

AE² = AB²-BE²

AE²=37²-12²

AE=35 units

From the triangle according to Pythagoras theorem,

h²=p²+b²

DE²=BD²-BE²

DE²=13²-12²

DE = 5 unit

The length of the kites longer diagonal will be the sum of the two sides;

AD = AE+ED

AD= 35 + 5

AD = 40 units

The length of the kites longer diagonal will be 40 units.

Hence option C is correct.

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Answer:

105 students

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

the answer is 50/5=89⅔

Answer:   [tex]\frac{1}{9}(x + 10)[/tex]

Explanation:

Consider something of the form ab + ac. We can factor 'a' out to get a(b+c), then use the distribution property to get back to ab+ac.

So factoring is basically reversing the distributive property.

In this case, a = 1/9, b = x and c = 10.

So,

[tex]\frac{1}{9}x + \frac{10}{9} = \frac{1}{9}x + \frac{1}{9}*10 = \frac{1}{9}(x+10)[/tex]

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

Answer:

y=2/3x+8/3

Step-by-step explanation:

Here ya go!!

Answer:

x = -1

Step-by-step explanation:

When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:

[tex]\frac{10-2}{-7-9}[/tex]

Solve:

10 - 2 = 8

-7 - 9 = -16

8/-16 can be simplified to -1/2.

The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.

[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]

First simplify the left side:

4 - 3 = 1

[tex]\frac{1}{x-1}[/tex] =  -[tex]\frac{1}{2}[/tex]

Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:

1 = [tex]\frac{-x+1}{2}[/tex]

Multiply both sides by 2:

2 = -x + 1

Subtract 1 from both sides:

1 = -x

Divide both sides by -1 to isolate the x:

-1 = x

The value of x is -1.

To check if our answer is correct we can put the value of x back into the expression used to find slope:

[tex]\frac{4-3}{x-1}[/tex]

[tex]\frac{4-3}{-1-1}[/tex]

Solve:

4 - 3 = 1

-1 - 1 = -2

The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.

Hope this helps :)

Answer:

huh?

Step-by-step explanation:

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

The eighth term of the arithmetic sequence is 66.

Given that,

Based on the above information, the calculation is as follows:

An = 10n - 14

= 10(8) - 14

= 80 - 14

= 66

Therefore we can conclude that the eighth term of the arithmetic sequence is 66.

Learn more: brainly.com/question/18109692

Answer:

y = 3/5x - 4.4

Step-by-step explanation:

let equation if the line be y = 3/5x + b

sub (-6, -8):

-8 = 3/5(-6) + b

b = -4.4

therefore, equation of the line: y = 3/5x - 4.4

Topic: Coordinate Geometry

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Answer:

the first one

Step-by-step explanation:

Answer:

Label theta as the missing length. You are solving circle segment so use the formula

Area of Segment =  θ − sin(θ)2 × r2   (when θ is in radians)

Area of Segment = (  θ × π360 −  sin(θ)2  ) × r2   (when θ is in degrees)

So the answer would be 7.68

Step-by-step explanation:

Answer:

Mr. Alcazar baked 810 cookies.

Step-by-step explanation:

Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:

(6 x 60) + (5 x 90) = X

360 + 450 = X

810 = X

Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.

Answer:

Step-by-step explanation:

In math some strengths are strong number sense, like being able to quickly compare groups of items and know which is larger and which is smaller. Weakness in math are incomplete mastery of number facts and difficulty transferring knowledge along with making connections.

Answer:

If each book cost $20.45 then you times it by 21 and the answer you would get is 429.45

Step-by-step explanation:

im 99% that its correct

Answer:

He should expect to spend as much as 429.45 (to be exact)

Step-by-step explanation:

It's really just simple math $20.45 multiplied by 21 is 429.45 (:

I'm sorry if I'm wrong. Have a great day and good luck!

Answer: C.5.60 miles

Step-by-step explanation:

I don’t know the explanation but I got it correct on a test that I was taking...

Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,

Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.

The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour

Since, the speed is same on Thursday,

So the speed on Thursday = 5.6 miles per hour

The distance covered in 1 hour = 5.60 miles.

Hence, option (C) is correct.

The image of complete question is shown below.

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Answer:

Quantitative data

Step-by-step explanation:

Data that can be represented in digits are referred to as quantitative data while data that are in categories or grouped are referred to as categorical data.

A breakdown is:

Quantitative-> Digits e.g. 20, 45

Categorical -> Groups and categories e.g. sex, level, etc.

We understand that weekly wage is represented in digits.

e.g.

The weekly wage of A factory worker is $500.......

From the above example, the wage ($500) is expressed in digits.

The analysis above shows that weekly wage is a quantitative data.