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vladimir2022 [97]
4 years ago
11

F(x)= -2(x+4)^2-5 in standard form

Mathematics
1 answer:
USPshnik [31]4 years ago
4 0

F(x) = -2.(x + 4)² - 5

F(x) = -2.(x² + 2.x.4 + 4²) - 5

F(x) = -2.(x² + 8x + 16) - 5

F(x) = -2.x² + (-2).8x + (-2).16 - 5

F(x) = -2x² - 16x - 32 - 5

F(x) = -2x² - 16x - 37

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ANSWER+EXPLANATION=100POINTS+BRAINLIEST
labwork [276]

The proof that the area of the trapezium is 2x² + x -351 = 0 can be seen in the image attached below.

<h3>What is a trapezium?</h3>

A trapezium is a quadrilateral that has a pair of opposite parallel sides.

From the given diagram:

The area of the trapezium can be computed as;

\mathbf{= \dfrac{1}{2} \times (sum  \ of \  the \  parallel \  sides) \times height }

\mathbf{351= \dfrac{1}{2} \times (x-4 + x +5) \times 2x  }

\mathbf{351= \dfrac{1}{2} \times (2x+1) \times 2x  }

\mathbf{351=  (2x+1) \times x  }

351 = 2x² + x

2x² +x - 351 = 0    : Proved

Learn more about the area of trapezium here:
brainly.com/question/16904048

6 0
2 years ago
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How much would $100 invested at 6% interest compounded monthly be
Verdich [7]

Answer:

331.02

Step-by-step explanation:

6 0
3 years ago
What is the product of -4 1/2 and 2 1/2<br><br>And I need the answer is a mixed number
Marianna [84]

- 11 \frac{1}{4}

8 0
4 years ago
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s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he fi
Sever21 [200]

Answer:

0.000005178

Step-by-step explanation:

we test for the goodness of fit

h0; drink preferences not changed

h1: drink preferences changed

alpha = 0.05

we solve for the test statistics

the chsquare test was performed in the attachment

Chi square = (O-E)²/E

chisquare = 32.30188

degree of freedom = n -1 = 6-1 = 5

using the chi distribution function on excel i calculated the p value

CHIDIST(32.30188, 5) =

P-value = 0.000005178

pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.

the chisquare calculation is in the attachment. Thank you!

7 0
3 years ago
An object travels 4/5 mile in a half in hour. What is its speed?
goldfiish [28.3K]
The rate(speed) is 1 3/5

We can use the distance formula to solve:
d= rt
D= 4/5
T=1/2 hr

Substitute

4/5= 1/2t

Multiply 2 on both sides
2* (4/5)=(1/2)t * 2

8/5=t

We can simplify this to 1 3/5
8 0
3 years ago
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