Answer:
[tex]a + b = 2[/tex]
Explanation:
The equations are determined by the definition of line equation:
First line
[tex]1 = \frac{1}{3}\cdot (9) + b[/tex] (Line equation)
[tex]1 = 3 + b[/tex]
[tex]b = -2[/tex] (x-Intercept)
The equation of the first line is:
[tex]y = \frac{1}{3}\cdot x - 2[/tex]
Second line
[tex]m = \frac{(-3)-4}{5-(-2)}[/tex]
[tex]m = - 1[/tex] (Slope)
[tex]-3 = -1 \cdot (5)+b[/tex]
[tex]-3 = -5 + b[/tex]
[tex]b = 2[/tex] (x-Intercept)
The equation of the second line is:
[tex]y = -x + 2[/tex]
First, y is eliminated by equalization and x is found:
[tex]\frac{1}{3}\cdot x -2 = -x +2[/tex]
[tex]\frac{4}{3}\cdot x = 4[/tex]
[tex]x = 3[/tex] (a)
Now, y is finally determined by direct substitution:
[tex]y = -3+2[/tex]
[tex]y = -1[/tex] (b)
The value of a + b is:
[tex]a + b = 2[/tex]
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
if f(x+1)=-1/2x+6, what is the value of f(-3)?
Answer:
8
Explanation:
5 the power of b is 125, what will be 5 the power of b minus 3
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
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
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.
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.