<h2>
Answer:</h2><h2>n=-5</h2>
n
-
4
=
3
+
6
n-4=3n+6
n−4=3n+6
Solve
1
Add
4
4
4
to both sides of the equation
−
4
=
3
+
6
n-4=3n+6
n−4=3n+6
−
4
+
4
=
3
+
6
+
4
n-4+{\color{#c92786}{4}}=3n+6+{\color{#c92786}{4}}
n−4+4=3n+6+4
2
Simplify
3
Subtract
3
3n
3n
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
<h3>How to illustrate the function?</h3>
The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
Learn more about functions on:
brainly.com/question/5685409
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Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.
So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.
So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.
So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
