First you would simplify the equation <span>(7x²+2x+5)+(3x²-8x-10) lets start with the first part
</span><span>(7x²+2x+5)
</span>7x² + 2x which = 49x + 2x which also = 51x Then you add the last part (+5)
51x + 5
Now you simplify the last part.
<span>(3x²-8x-10)
</span>3x²-8x which=9x - 8x which also = 1x or simply x Then add the last part (-10) Which you'll get x-10
51x + 5) + (x - 10) = 52x -5
so your answer is 52x - 5
The values of a and b are 4 and -3
<h3>How to solve for (a) and (b)?</h3>
To solve for a, we make use of the function f(x).
x f(x)
2 4
0 5
2 a
3 7
Remove the x values 0 and 3
x f(x)
2 4
2 a
The above table implies that:
f(2) = 4 and f(2) = a
Substitute 4 for f(2) in f(2) = a
4 = a
Rewrite as:
a = 4
To solve for b, we make use of the function g(x).
x g(x)
2 b
0 0
2 -3
3 -4
Remove the x values 0 and 3
x g(x)
2 b
2 -3
The above table implies that:
f(2) = b and f(2) = -3
Substitute -3 for f(2) in f(2) = b
-3 = b
Rewrite as:
b = -3
Hence, the values of a and b are 4 and -3
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<u>Complete question</u>
Use the Symmetry of a Function to Find Coordinates
f is an even function g is an odd function
x f(x) x g(x)
2 4 2 b
0 5 0 0
2 a 2 -3
3 7 3 -4
Find a and b
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
- <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
- <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>
Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
- Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr
<u>Using the general form</u> :
At, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
<u>The expression in slope intercept form becomes</u> ;
<u>If Raul lives 5 miles closer to the beach</u> ;
<u>Time it will take Luis to get to the beach</u> :
- Time taken = (15 ÷ 7.5) = 2.5 hours
Distance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
- Speed required = (10 ÷ 2.5) = 4 mi/hr
Therefore, Raul has to ride at 4 miles per hour for the plan to work.
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Step-by-step explanation:
x -2 -1 2 7
y -6 -6 -2 3
All y are in under root
Using the area, the number of tiles needed to cover the floor is 6.
<h3>What is area?</h3>
The area is the region bounded by the shape of an object.
Therefore, the bathroom floor measures 3 yards by 3yards.
Hence the area of the bathroom floor can be calculated as follows;
area of the bathroom floor = 3 × 3
area of the bathroom floor = 9 yards²
The area of the custom tiles that makes the flooring is 1 1 /2 square yards.
Hence,
number of tiles needed to cover the floor = 9 ÷ 3 /2
number of tiles needed to cover the floor = 9 × 2 / 3
number of tiles needed to cover the floor = 18 / 3
number of tiles needed to cover the floor = 6
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