Answer:
x = -8 or x = 3
Step-by-step explanation:
To factor ax² + bx + c, use AC method.
a times c is 1 × -24 = -24.
Factors of ac (-24) that add up to b (5) are 8 and -3.
Divide by a and reduce: 8/1 and -3/1.
Therefore, the factors are x + 8 and x − 3.
x² + 5x − 24 = 0
(x + 8) (x − 3) = 0
x = -8 or 3
<u>Answer:</u>
Michelle purchased 25 audio files in January. The percent increase is 60%
<u>Solution:
</u>
Given Data:
Michelle purchases = 25 audio files in January
Again purchased = 40 audio files in February
We need to find the percent increase for the given data.
Step 1:
Use the formula for percent change
,
Step 2:
First we find the amount of change from the question.
Amount of change = 40 – 25
By subtracting, we get 15.
Step 3:
substitute the values in formula we get,
Formula percent change = 
= 0.6
Percent = 0.6 
100 = 60 %.
Result:
Michelle purchased 25 audio files in January. And In February she purchased 40 audio files. Hence the percent increase is 60%.
Answer:
P = 9+9+14+14= 46cm
A = Base (14 cm) × Height (7cm)
14×7= 98 cm²
3. P= 1.2 +2.0 +1.6= 4.6m
A = 1/2 B×H
= 1/2 1.6× 1.2
= 0.96 m²
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
Answer:
C
Step-by-step explanation:
C is the only graph that passes the vertical line test.
