9x+13=2x+48
-2x -2x
7x+13=48
-13 -13
7x=35
/7 /7
x=5
y=9(5)+13
y=45+13
y=58
Answer:
See explanation and attachment
Step-by-step explanation:
3x - 2y = 4
2y = 3x - 4
y = 3/2x -2
for x-intercept, y =0
so 0 = 3/2x - 2 => 3/2x = 2 => 3x = 4 => x = 4/3 or 1 1/3
for y-intercept, x=0
so y = 3/2(0) - 2 => y = -2
Another way to solve it is
y = mx + b
m is slope which is rise over run
b is y-intercept
so y = 3/2x - 2
starting with y-intercept at (0,-2), the line rises 3 units and runs 2 units
f(x)=(x+4) ^2 −25
to solve set equal to zero
0 =(x+4) ^2 −25
add 25 to each side
25 = (x+4) ^2
take the square root of each side
square root (25) =(x+4)
+- 5 = (x+4)
5 = x+4 -5 = x+4
subtract 4 from each side
1 =x -9 =x
Answer:
Answers
- Both
- Positive Results
- Negative Results
- Negative Results
Step-by-step explanation:
3x ≥ - 9 Divide both sides by 3
x ≥ -9/3
x ≥ -3 This has both
5x - 3 > 4x + 7 Subtract 4x from both sides
5x - 4x - 3 > 4x- 4x +7
x - 3 > 7 Add 3
x - 3 + 3 > 7 + 3 Combine
x > 10 Just positive results.
-2x + 4 > 6 Subtract 4
-2x + 4-4>6-4
-2x > 2 Divide by - 2 watch out.
-2x/-2 < 2/-2
x < -1 Only negative results.2x + 5 < - 1 2x +5 < -1 Subtract 5
- 2x < -1 - 5
- 2x < -6
- 2x/2 < - 6/2
x < - 3 Only negative results.
Answer:
<em>2 1/3, 2 1/4, 2 3/7</em>
Step-by-step explanation:
<u>Mixed Fractions</u>
Mixed fractions are made of an integer part followed by a proper fraction.
Some examples of mixed fractions are:
3 1/2, -4 5/8, 2 2/3
Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.
In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.
We can select any number with integer part 2 and a proper fraction less than 1/2.
Examples could be :
2 1/3, 2 1/4, 2 3/7
All of them are less than 2.5