Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36

Answer:

x=6 and y=−10

Step-by-step explanation:

You can also solve this system by elimination.)

6x+2y=16;2x−2y=32

Step: Solve6x+2y=16for x:

6x+2y+−2y=16+−2y(Add -2y to both sides)

6x=−2y+16

it's proceeds

Answer:

4x-8=2x+4

x=6

Step-by-step explanation:

Answer:

Mean=85.56, median=90, mode=95 and range=35

Step-by-step explanation:

To calculate the mean is the same as the average value in a data set. Median is data value separating the upper half of a data set from the lower half. The median is the data value separating the upper half of a data set from the lower half. The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number from the largest number.

Answer:

Step-by-step explanation:

you have a right triangle

to find the missing length(x) you will use

a^2+b^2=c^2

where c is the hypotenuse

49^2=25^2+x

x^2=49^2-25^2=2401-625=1776

x=[tex]\sqrt{1776}[/tex]=42.1

Answer:

Answer:

University student has more debt

Step-by-step explanation:

9650-8455/1865 =0.64  College student  

12360-10326/2143 =0.95 University student

Hopefully this helps

Answer:

C. The value of a baseball card that is decreasing by $0.75 every 4 years.

Step-by-step explanation:

The exponential function would represent a mathematical function in the form of f(x) = a^x

where

x denotes the variable

a denotes the constant

So according to the given options, the option C would represent the exponential function

Hence, the option c is correct

Answer:

The answer is 5.20

Step-by-step explanation:

Since the tenth place is lower than 5 it stays the same

Answer:

PR = 16

SR = 12

Step-by-step explanation:

6/8 = (x-3)/(x+1)

8x-24 = 6x+6

simplify

2x = 30

x = 15

PR = 15 + 1 = 16

SR = 15 - 3 = 12

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

Answer:

11 cows and 6 ducks

Step-by-step explanation:

Answer: it is B "67%"

Step-by-step explanation:

If you take 100% of the population and subtract 33% you will end up with an ending product of 67%

Answer:

I really want to help but I cant

Answer:

B: 9

Step-by-step explanation:

First plug in the numbers to the equation

[tex]\frac{1}{4} (c^{3} + d^{2})[/tex]

[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]

Then use PEMDAS to solve

[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]

[tex]\frac{1}{4} (-64 + 100)[/tex]

[tex]\frac{1}{4} (36)[/tex]

9

Answer:

Its blurry and I can't see

Answer: pretty sure

Step-by-step explanation:

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

Answer:

30.667 inches of string

Step-by-step explanation:

Answer:

Standard Form:

80.92

Expanded Form:

80 + 0 + 0.9 + 0.02 = 80.92

Standard Form:

67.03

Expanded Form:

60 + 07 + 0.0 + 0.03 = 67.03

Hope its correct :)

Answer:

what they said

Step-by-step explanation:

The answer i worked out is  x=3/2

Answer:

18.37 is the answer so it should be 18.4

Step-by-step explanation:

Answer:

a)

Sample mean p = 25% = 0.25

standard deviation σ = 0.025

b)

YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10

so the conditions satisfied for normal approximation/calculations

c) the probability that at least 26% of the sample is killed is 0.6554

Step-by-step explanation:

Given the data in the question;

Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms

sample size n = 300

a) What are the mean and standard deviation of the proportion of trees that are killed?

Sample mean p = 25% = 0.25

standard deviation σ = √( pq / n ) = √( (0.25 × (1 - 0.25)) / 300 )

σ = √( (0.25 × 0.75) / 300 )

σ = √( 0.1875 / 300 )

σ = √0.000625

σ = 0.025

standard deviation σ = 0.025

b) Is it okay to use normal calculations for this problem?

YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10

so the conditions satisfied for normal approximation/calculations

c) the probability that at least 26% of the sample is killed

Now we are to find

P( P < 0.26 )

since its a normal approximation, we can convert p to z

so

P( P < 0.26 ) =  P( Z < ( x-p / σ   )

P( P < 0.26 ) = P( Z < ( 0.26-0.25 / 0.025 )

= P( Z < (0.01 / 0.025) )

= P( Z < 0.4 )

form z score table; P( Z < 0.4 ) = 0.6554

so

P( P < 0.26 ) = 0.6554

the probability that at least 26% of the sample is killed is 0.6554

Answer:

a

Step-by-step explanation:

Answer:

[tex]\frac{4+n}{2} < -6[/tex], n < -16

Step-by-step explanation:

To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like [tex]\frac{4+n}{2}[/tex]. Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is [tex]\frac{4+n}{2} < -6[/tex].

To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is [tex]4+n<-12[/tex]. Next, subtract 4 from both sides. The answer is n < -16.

Answer:

1 L of petrol is used to travel 9 km.

Step-by-step explanation:

You can find the answers through the ratio method

20 L : 180 km

1 L : x

( x is the number we must find )

20 x = 180

x =

x = 9 km