Answer:
The answer is a m8
Step-by-step explanation:
Idk why the other kid deleted it
Answer:
It's 96
Step-by-step explanation:
-<u>The left and right rectangles</u>
5*4=20
(5*4)*2=40
-<u>Triangle</u> (front and back)
8*3/2=12
(8*3)/2*2=24
-<u>Bottom Triangle (base</u>)
8*4=32
<u>-Area</u>
=40+24+32
=<em>96</em>
Answer: Choice D
y = -(x - 2)^2 + 7
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Explanation:
The highest point is (2, 7) so this is the vertex.
In general, the vertex is (h, k). We can say that h = 2 and k = 7.
The vertex form
y = a(x-h)^2 + k
updates to
y = a(x-2)^2 + 7
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Note that the graph goes through (0,3) which is the y intercept. Plug those x,y coordinates into the equation above to solve for 'a'
y = a(x-2)^2 + 7
3 = a(0-2)^2 + 7
3 = a(-2)^2 + 7
3 = a(4) + 7
3 = 4a + 7
4a+7 = 3
4a = 3-7
4a = -4
a = -4/4
a = -1
----------------
Therefore, we have
y = a(x-2)^2 + 7
update to
y = -1(x-2)^2 + 7
which is the same as
y = -(x - 2)^2 + 7
and that's why the answer is choice D
Answer:
m=-8/3
Step-by-step explanation:
1/m+4=3/4
cross multiply over the equal sign
1×4=3(m+4)
4=3m+12
combine the like terms
4-12=3m
-8=3m
divide by 3
-8/3=3m/3
m=-8/3
Answer:
Domain: - ∞ < x < ∞
Range: y > 0
Asymptote: y = 0
y-intercept: 1
Step-by-step explanation:
The <u>DOMAIN</u> is the set of possible input values, so in this case it is the set of possible x values. For this function the set of input values is not restricted, so this is why we say that the domain can be ANY value by denoting it as - ∞ < x < ∞. Another way of stating this would be to say
x ∈ R, which means x belongs to the set of real numbers. Real numbers are any number (positive, negative, zero, irrational, rational, whole etc.) except imaginary numbers.
The <u>RANGE</u> is the set of values the function takes, i.e. the output. As this function is an exponential function, the function is always positive. Hence the range is y > 0 or f(x) > 0.
An <u>ASYMPTOTE</u> is a line that the curve approaches, as it heads towards infinity (or negative infinity). Asymptotes can be horizontal, vertical or oblique. For this function, there is a horizontal asymptote at y = 0: this is because as x tends to negative infinity, the curve approaches (tends to) zero (but never actually gets there).
The <u>y-intercept</u> is the y-coordinate of the point where the curve crosses the y-axis, i.e. when x = 0. If you input x = 0 into the function y = 5^x you get y = 1. Therefore, the y-intercept of y = 5^x is y = 1
