Select the two correct factors of the polynomial:
x2 – X – 42

(x-7)
(x+6)
(x+7)
(x-6)
(x-21)
(x+2)

Answer:

C

Step-by-step explanation:

y=-3x+5

Let's try A: 14=-3*3+5=-9+5=-4 (NOT TRUE)

Let's try B: 17=-3*4+5=-12+5=-7 (ALSO NOT TRUE)

Let's try C: 17=-3*(-4)+5=12+5=17 (TRUE)

Let's try D: 23=-3*6+5=-18+5=-13 (NOT TRUE)

Hope this helps!

Answer: n = 4

Step-by-step explanation:

1. Distribute on the right side of the equation

-2(1-7n) = -2 + 14n

2. Subtract 5n from each side

5n + 34 = -2 + 14n

34 = -2 + 9n

3. Add 2 to each side

34 = -2 + 9n

36 = 9n

4. Divide each side by 9 to isolate the variable n

36 = 9n

4 = n

Answer:

4

Step-by-step explanation:

i did the test

Answer:

9x-27

Step-by-step explanation:

x(9)-3(9)--->distributive property

Answer:

5/3g - 18

Step-by-step explanation:

Answer:

-10240

Step-by-step explanation:

-2.5, -10, -40, -160, -640, -2560, -10240

Answer:

15 cars (excluding the driver)

Step-by-step explanation:

58/4 = 14.5

14.5 rounded is 15.

Step-by-step explanation:

This is the answer...

Answer:

Let X be number of days

Let Y be total amount of pages

21x=y

Step-by-step explanation:

So we know that Arnold reads 21 pages a day

But we don’t know how many days

THe number of pages can change expending on the amount of days he reads

So lets make that y.

So 21x=y is the equation unless they ask for different interpatations of the variables (x,y,z)

There are a couple of ways to do this. The easiest is to take the number of degrees between 42 and - 54 and divide by 12.

Method

the number of degrees is abs(42) + abs(-54) = 42 + 54 = 96

Now divide by 12

Hours = 96 / 12 = 8 hours.

Answer:

You are litteraly doing the same equation as me and didn’t even bother to cover the school you go to

Step-by-step explanation:

Next time you use the internet please cover your stuff you 14 year old pleb

Answer: The pattern of the sequence is to subtract 11 from the last number.

Step-by-step explanation: The next two terms of the sequence are 55 and 44.

Answer:

29 7/52

Step-by-step explanation:

Answer:

Your answer would be y = 3

Step-by-step explanation:

Both have the same y-axis

Answer:

the function is -3 i think

Answer:

[tex]f(x) = x - 3[/tex]

Step-by-step explanation:

Linear equation form:

[tex]y=mx+b[/tex]

m is the slope

b is the y intercept

Solve for m using the first two points:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{6-7}{3-4}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Plug in m and either point into the equation and solve for b:

[tex]y=mx+b[/tex]

[tex]4=1(7)+b[/tex]

[tex]4=7+b[/tex]

[tex]b=4-7[/tex]

[tex]b=-3[/tex]

Final equation:

[tex]y=x-3[/tex]

Test with the 3rd point:

[tex]2=5-3[/tex]

[tex]2=2[/tex]

Equation fits all 3 points

Answer:

1 hr, 4 sec

Step-by-step explanation:

Answer:

The explicit function is: [tex]P_x = 153+3x[/tex]

And the number of lights after 33 weeks will be 252.

Step-by-step explanation:

Given that:

Total street lights = 153

Let x be the number of weeks

Then the number lights after x weeks will be 3x

This is a linear function where the y-intercept is 153 and slope is 3.

It can be written as: y = mx+b

The function is:

[tex]P_x = 153+3x[/tex]

Putting the values for x will give us the number of total lights after that number of weeks.

To find, how many street lights were there at the end of 33rd week,

Putting x = 33

[tex]P_{33} = 153+ 3(33)\\= 153+99 = 252[/tex]

Hence.

The explicit function is: [tex]P_x = 153+3x[/tex]

And the number of lights after 33 weeks will be 252.

Answer:

a=8m

Step-by-step explanation:

a²+b²=c²

where a= 6m,c=10m

6²+b²=10²

b²=100-36

b²=64

b=√64=8

Answer:

2. [tex]a=8[/tex] m

Step-by-step explanation:

Let [tex]a[/tex] = length of the remaining leg

[tex]6^2+a^2=10^2[/tex] (using the Pythagorean theorem)

[tex]36+a^2=100[/tex]

[tex]a^2=64[/tex]

[tex]a=\sqrt{64}[/tex]

[tex]=8[/tex] m

∴ The length of the remaining leg is [tex]8[/tex] m.

Hope this helps :)

Answer:

the answer is 8 square units

Step-by-step explanation:

i hope i helped

Answer:x^2-y^2

Step-by-step explanation:

(x+y)(x-y) = x^2 -xy +xy -y^2 so it becomes x^2-y^2

Answer: 41

A prime number only has two factors: 1 and itself

A composite number has more than two factors.

Let's identify the following numbers:

24 is composite because it has factors like 2, 3, 8, and 12.

16 is composite because it has factors like 8, 2, and 4.

64 is composite because it has factors like 2, 24, and 8.

41 is prime because it's factors are 1 and 41.

Answer:

x = - 23.57 (appx)

Step-by-step explanation:

[tex]( \frac{ - 7}{3} )x - 3 = 52[/tex]

[tex] = > ( \frac{ - 7}{3} )x = 52 + 3 = 55[/tex]

[tex] = > x = 55 \div ( \frac{ - 7}{3} )[/tex]

[tex] = > x = \frac{55 \times 3}{ - 7} = \frac{165}{ - 7} = - 23.57(appx)[/tex]

Answer:

Positive

Step-by-step explanation:

Slope is positive because the line is increasing from left to right. If the line was decreasing (pointing downwards) from left to right, its slope would be negative.

A slope that is zero would be a straight, horizontal line while a line with no slope would be a straight, vertical line.

Answer:

gof(x) = 3

Step-by-step explanation:

Given that,

f(x) = x+2 and g(x) = x+1

We need to find gof(x).

gof(x) means g[f(x)].

g[f(x)] = g(x +2)

= x+2+1

= x+3

Hence, the value of gof(x) is 3.

Answer:

(-7,-16)

Step-by-step explanation:

calculate the first derivative and equale tot zero.

dy/dx = 2x + 14 = 0

<=> x = -7

calculate now the value of y for x = -7

y = (-7)^2 + 14*(-7) + 33

y = 49 - 98 + 33

y = -16

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

Answer:

a = 31

Step-by-step explanation: