Let's solve your inequality step-by-step.
<span><span><span>
a − 8 </span>+ 15 </span>> <span>23
</span></span>Step 1: Simplify both sides of the inequality.
<span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>> 23
</span>
Step 2: Subtract 15 from both sides.
<span><span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>− 15 </span>> <span>23 − 15
</span></span><span><span><span><span>
−1/</span>8</span>a </span>> 8
</span>
Step 3: Multiply both sides by 8/(-1).
<span><span><span>
(<span>8/<span>−1</span></span>) </span>* <span>(<span><span><span>−1/</span>8</span>a</span>) </span></span>> <span><span>(<span>8/<span>−1</span></span>) </span>* <span>(8)
</span></span></span><span>
a < <span>−<span>64
Therefore, the answer is a < -64! I hope this helped! :)</span></span></span>
Answer:
40 students picked bananas
Step-by-step explanation:
3/4 picked apples
1 - 3/4 = 1/4 picked bananas
3/4x = 120
Multiply both sides of the equation by 4/3
4/3 * (3/4x) = 120/1 * (4/3)
x = 480/3
x = 160
Total of 160 students
/ \
120 = apples 160 - 120 = 40 = bananas
40 students picked bananas
Hope this helps :)
Answer:
See answers below
Step-by-step explanation:
From the given functions, the equivalent function for when x = 0 is -(x-1)²
h(x) = -(x-1)²
h(0) = -(0-1)²
h(0)= -(-1)²
h(0) = -1
when x = 2, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(2) = -1/2(2) - 1
h(2) = -1-1
h(2) = -2
when x = 5, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(5) = -1/2(5) - 1
h(5) = -5/2-1
h(5) = -7/2
Answer:
15<em>y</em> = -28 <em>x</em> + 205.
Step-by-step explanation:
Slope intercept form of equation is <em>y = mx + c</em> where m is slope and c is the y intercept.
Now slope of line passing through points (-5, 23) and (10, -5):
Now equation of line:
<em> y = mx + c</em>
substituting the value of m in above expression,
Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,
So equation of line in slope intercept form:
Further solving,
15<em>y</em> = -28 <em>x</em> + 205.
Answer:
Please check the explanation.
Step-by-step explanation:
The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)
a = x₁ + x₂ / 2
b = y₁ + y₂ / 2
Given that the midpoint of AB is (4, -3).
i.e. (a, b) = (4, -3)
Given that A has coordinate (1, 5).
i.e. (x₁, y₁) = (1, 5)
We have to determine the coordinates of B.
i.e. (x₂, y₂) = B
Thus,
4 = (1 + x₂)/2
(1 + x₂) = 4 × 2
1 + x₂ = 8
x₂ = 7
and
-3 = (5 + y₂)/2
(5 + y₂) = -3 × 2
5 + y₂ = -6
y₂ = -11
so (x₂, y₂) = (7, -3) = B
Thus, the coordinates of B = (x₂, y₂) = (7, -3)
Therefore,
x₂ + y₂ = 7 + (-3)
= 7 - 3
= 4
Hence, the value of x₂ + y₂ = 4
