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guajiro [1.7K]
4 years ago
7

Determine all zeros for the function: f(x)=(x^{2} +2x-8)(x-6)

Mathematics
1 answer:
marin [14]4 years ago
4 0
Graph this equation on a graphing calculator, the line crosses the x axis 3 times, those points are at -4 , 2 , and 6

to find on calc, enter equation is y=, then hit 2nd , trace , 2: zero
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A ball is dropped from a cliff that is 135 m high.
Anna [14]

Answer:

113 feet

Step-by-step explanation:

I will assume you meant h = -4.9t^2 + 135; "t2" is incorrect.

To answer this question, to find the height of the ball after 2.1 seconds, substitute 2.1 for t in the above equation:

h(2.1) = -4.9(2.1)^2 + 135.  This becomes -21.6 + 135, or 113.4.

The closest result to the height of the ball after 2.1 seconds is 113 feet.

4 0
3 years ago
Please answer 2.) a and b!
KatRina [158]

1.a. correct

1.b. \sqrt{121} - \sqrt{9} = 11 - 3 = 8

1.c. correct

1.d. -\sqrt{36} - \sqrt{100} = -6 - 10 = -16

2.a. 7 - x + 3w - 9

Terms: 7, -x, 3w, -9

Variables: x, w

Coefficients: -1, 3

Constants: 7, -9

2.b. -g + 8k - 3 - 7

Terms: -g, 8k, -3, -7

Variables: g, k

Coefficients: -1, 8

Constants: -3, -7

3.a. correct

3.b. correct

3.c. -5+ 4x = -x

4.a. 4(2x + 3) = 8x + 12

4.b. -2(3x + 4) = -6x - 8

4.c. -5(2x - 3) = -10x + 15

7 0
3 years ago
What is the surface area
padilas [110]

Answer:

24

Step-by-step explanation:

SA= 6a sqaured

a is the edge

a=2

a squared = 4

SA=6(4)

SA=24

3 0
4 years ago
Read 2 more answers
What is the domain of y = log Subscript 5 Baseline x?
Marina CMI [18]

Answer:

For this case we have this function given:

y = log_5 (x)

In order to find the domain we need to find the possible values of x that the function can assume.

And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

x> 0

And we can write this in formal notation as:

D = [ X \in R | X>0]

And the best answer for this case would be:

all real numbers greater than 0

Step-by-step explanation:

For this case we have this function given:

y = log_5 (x)

In order to find the domain we need to find the possible values of x that the function can assume.

And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

x> 0

And we can write this in formal notation as:

D = [ X \in R | X>0]

And the best answer for this case would be:

all real numbers greater than 0

6 0
4 years ago
Read 2 more answers
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
lana66690 [7]

Answer: (95.2,\ 100.8)

Step-by-step explanation:

Given : Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that σ = 4 psi.

A random sample of 8 specimens is tested, and the average breaking strength is found to be 98 psi.

i.e. n= 8  and \overline{x}=98

Critical value for 95% confidence = z_{\alpha/2}=1.96

Confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 98\pm (1.96)\dfrac{4}{\sqrt{8}}

\approx98\pm 2.7719

=(98-2.7719,\ 98+2.7719)

=(95.2281,\ 100.7719)\approx(95.2,\ 100.8)

Hence,  a 95% two-sided confidence interval on the true mean breaking strength. = (95.2,\ 100.8)

5 0
3 years ago
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