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4vir4ik [10]
3 years ago
8

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Mathematics
2 answers:
Viefleur [7K]3 years ago
8 0

Answer:

The range of the function is all real numbers less than or equal to 9.

Step-by-step explanation:

Given : The function f(x) = –x2 – 4x + 5 is shown on the graph.

To find :  Which statement about the function is true.

Solution : We have given that f(x) = –x² – 4x + 5 .

Domain :  domain are the set of input values on which the function is defined or real.

F(x) is not undefined for any value.

Then , (-∞ , ∞)

Range : range is the set of values dependents variable on which function is defined.(-∞ ,0]

Therefore, The range of the function is all real numbers less than or equal to 9.

4vir4ik [10]3 years ago
3 0
f(x)=-x^2-4x+5

The domain:
x\in\mathbb{R}  all real numbers

The range:
y\leq9\to y\in(-\infty;\ 9] all real numbers less than or equal to 9.

Answer:
<span>The range of the function is all real numbers less than or equal to 9. </span>

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Factor the expression. 6g2 + 11g – 35
Ede4ka [16]
<span><span><span>6<span>x2</span></span>+<span>11x</span></span>−35</span><span>=<span><span>(<span><span>3x</span>−5</span>)</span><span>(<span><span>2x</span>+7</span><span>)</span></span></span></span>
5 0
3 years ago
What pair of factors of -42 has a sum of 1?
Kaylis [27]

Answer:

-6 and 7

Step-by-step explanation:

-6 * 7 = -42 and -6 + 7 = 1, so they are factors and have a sum of 1.

6 0
3 years ago
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Bill bought a used car. After he'd owned the car for 10 weeks, he noticed that the car's odometer showed that it had gone a tota
lana [24]

Answer:

The formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

Step-by-step explanation:

Since Bill bought a used car, and after he'd owned the car for 10 weeks, I noticed that the car's odometer showed that it had gone a total of 43,852 miles (including the mileage on the car when Bill bought it). Subsequently, 30 weeks since Bill bought the car, the odometer shows 49,651 miles. Thus, assuming that Bill drives a consistent amount each week, to develop a formula that will estimate the odometer reading after Bill owned the car for X weeks and determine about how many miles had the car gone when Bill bought it, the following calculations must be performed:

(49.651 - 43.852) / 20 = X

5,799 / 20 = X

289.95 = X

So the average number of miles Bill drives per week is 289.95.

289.95 x 10 = 2,899.5

43,852 - 2,899.5 = 40,952.5

Thus, the formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

7 0
3 years ago
The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7 − x)), use your calculator to find the slope
yan [13]

Answer:

Slope of the line PQ is -63.434948.

Step-by-step explanation:

Given that,

The point P(8,-3) lies on the curve y=\frac{3}{7-x}.

If Q is the point lies on (x,\frac{3}{7-x} ).

To find:- Find the slope of line PQ.

So,  

The coordinates of point Q when it lies on (x,\frac{3}{7-x} )

        if x=1 then y= \frac{3}{7-1} =\frac{3}{6} =\frac{1}{2}

       So,   Q ≡ (1,\frac{1}{2} ) and many points can be calculated by given Equation.

Using the formula when two points (x_{1} ,y_{1} ) \& (x_{2}, y_{2}  ).

                Slope=Tan\theta = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Then, substituting the coordinates we get,

             Slope = \frac{1-8}{\frac{1}{2}-(-3) }

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              tan\theta=-2   ⇒  \theta = tan^{-1} (-2)

               \theta= -63.434948

Therefore,

Slope of the line mPQ is -63.434948.

                     

7 0
3 years ago
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MatroZZZ [7]

Answer: 15 inches is the height of Keisha's fish tank.

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Next, divide 1800 by 120.

1800 divided by 120 is 15.

So, 15 inches is the height of the fish tank.

5 0
3 years ago
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