A line in the xy-plane passes through the points (1,-2) And has a slope of 1/3. Which of the following points lies on the line?
A) (3,-2)
B) (2,-4/3)
C) (0,-2)
D) (-1,-8/3)
Answer:
D) (-1,-8/3)
Explanation:
To solve this we need the point-slope formula, because we are given a point and a slope.
y-y₁=m(x-x₁)
In this problem, m=1/3 and (x₁, y₁)=(1, -2)
So when we plug these into the formula we have
y- -2 = 1/3(x-1) (I will rewrite y - -2 as y+2 because subtracting a negative is the same as adding a positive).
y+2 = 1/3(x-1)Now we can plug each of the points from the multiple choice into the equation. If one of them works (gives us a true statement), that's our answer.
A) use 3 for x and -2 for y.
-2 + 2 = 1/3 (3-1)
0 = 1/3 (2)
0= 2/3 This is not correct, so A is not the answer.
B) use 2 for x and -4/3 for y
-4/3 + 2 = 1/3 (2-1)
2/3 = 1/3 (1)
2/3 = 1/3 This is not correct, so B is not the answer.
C) Use 0 for x and -2 for y.
-2+2 = 1/3(0-1)
0=1/3(-1)
0=-1/3 This is not correct, so C is not the answer
D) Use -1 for x and -8/3 for y.
-8/3 +2=1/3(-1-1)
-2/3 = 1/3(-2)
-2/3 = -2/3 This is a true statement. Plus, we had already eliminated A, B, and C, so it would have to be D if our calculations were correct.
If -1 ≤ x ≤ 8 and -1 ≤ y ≤ 10, then what is the range of xy?
Answer:
Explanation:
the lower bound would be the smallest value xy could produce, which is smallest value of x times the largest value of y, -1 times 10 is -10. the upper bound would be the largest value of xy, which is the largest value of both variables, 8 times 10 is 80. hence the range of xy is -10<= xy <=80.
If 3x + 8 = 23, what is the value of x + 4 ?
Answer:
9
Explanation:
First we solve for x. Subtracting 8 from both sides gives us 3x = 15, therefore x would be 5. Then we plug that into the second question, which gives us 5+4, which is 9.
Factors that decrease water quality
Answer:
Global Warming, and Littering
Explanation:
if f(x+1)=-1/2x+6, what is the value of f(-3)?
Answer:
8
Explanation:
Please helpppppppp!!!!!
Options
A- enable movement, provide energy, store energy
B- enable movement, provide energy, store energy
C- enable movement, provide energy, store energy
D- DNA, cholesterol, starches
E- DNA, cholesterol, starches
Answer:
hope this helps!
A - provide energy
B - store energy
C - enable movement
D - starches
E - DNA
Explanation:
uhh there's not much to explain, it's pretty much definition based,, I took bio about two years ago, so I had to pull up my old notes to make sure that I was correct ahah. don't rely on my answers too much, but it's better than blind guesses xD
good luck!
How can you test a water source to see whether it is acidic or not
Answer:
The easiest way to test if water is acidic is to use litmus paper. Litmus paper is a paper that contains special dyes that will change color when exposed to acids or bases. In your case, if you dip blue litmus paper into water samples and it turns pink or red, then the water is acidic.
Answer:
Okay mate
Explanation:
The easiest way to test if water is acidic is to use litmus paper. Litmus paper is a paper that contains special dyes that will change color when exposed to acids or bases. In your case, if you dip blue litmus paper into water samples and it turns pink or red, then the water is acidic.
F(x)=x^2-b. In the function above? b is constant. If F(-2)=7, What is the value of F(b)?
Answer:
so substitute in -2 as x, first do the exponent -2 squared equals 4 then 4-?=7 the answer is -3
Explanation:
-3
Sayid drew an energy pyramid.
What does each section of the triangle represent?
a trophic level
a food chain
a type of producer
In an energy pyramid each section of the triangle represent trophic level
Answer: it's A. Tropic level
Explanation:
I got 100% on the quiz. Good luck and have a good day.
F(x)=ax+2 In the Function above? a is a constant. If F( -1 )=4, what is the value of F(-1/2)?
Answer:
3
Explanation:
why am i here help me here
Explanation: You are here because you came to this earth from ur mom birthing you. You are a beautiful human being. So be proud of who u are
Answer:
Your here because that's how life is-
Explanation:
An archeologist claimed that he found some gold coins date 46 BC. Do you think this is possible?
Answer:
No, I don't.
How could the coins be stamped "46 B.C." when people of that time would have no way of knowing how many years before Christ it was?
Explanation:
helppp me plzz??????????
Answer:
All organisms need engery to to reproduce. Organism get their energy from energy storage such as glucose, starch, and fat. Plants and other produces can make their food through photosynthesis.
how is a pest different from a parasite
Answer:
“parasite” is a specific term, meaning an organism that lives on and harms another creature, while “pest” is a general term, meaning an unwanted or annoying organism.
three differnet golfers played
Answer:
Rory: 42 strokes per 9 holes
Jordan: 79 strokes per 18 holes
Ricky: 123 strokes per 27 holes
Explanation:
Answer:
nope
Explanation:
because nopeeeeeeeeeeeeeee lol lol lol lol lol
A bag contains balls that are red, green, or blue. One third of the balls are red, and 2/7 are blue. The number of green balls is eight fewer than the twice the number of blue balls. How many green balls are in the bag?
Answer:
16 green balls
Explanation:
x = total balls in bag
Red = 1/3x
Blue = 2/7x
Green = -8+2(2/7x)
Since these are balls, the answers have to be whole numbers. The equations representing the different colors contain fractions and have denominators 3 and 7. So the total number of balls, represented by x, needs to be a factor of 3 and 7. So I did a trial and error thing here:
First possible common denominator = 21, which is 3x7
We test that there are 21 balls in the bag. Substituting 21 into the equations for red, blue and green we get:
red = 1/3(21) = 7
blue = 2/7(21) = 6
green = -8+2(2/7)(21) = 4
But if you add up the colors: 7+6+4 = 14 which is < 21
So we test another common denominator
Next possible common denominator = 42, which is 3x7x2
So we test that there are 42 balls in the bag. Substituting 42 into the equations for red, blue and green we get:
red = 1/3(42) = 14
blue = 2/7(42) = 12
green = -8+2(2/7)(42) = 16
If you add up the colors: 14+12+16 = 42