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3 years ago

Consider the function f(x) = x2 + 2x – 35. If one of the zeros of the

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

If one zeros is x= -7 then the other zero is x=5

Step-by-step explanation:

We are given the function: $f(x) = x^2 + 2x-35$

If one zeros of the function is x=-7 we need to find other zero of the function.

We can find zeros of the quadratic equation by factorizing the equation

$f(x) = x^2 + 2x-35$

Factorizing the quadratic equation:

$x^2 + 2x-35=0\\x^2-5x+7x-35=0\\x(x-5)+7(x-5)=0\\(x+7)(x-5)=0\\x+7=0\,\,and\,\,x-5=0\\x=-7\,\,and\,\,x=5$

So, if one zeros is x= -7 then the other zero is x=5

Keywords: Solving Quadratic Equation

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A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m

Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

z statistic is computed as follows:

z= $\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } }$ where

X is the proportion of correct answers in the test ( $\frac{30}{40}$ )
M is the expected proportion of correct answers according to the null hypothesis (0.5)

p is the probability of correct answer (0.5)
N is the total number of questions in the test (40)

z= $\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } }$ ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

7 0

3 years ago

Here is an expression: 3 • 2t

leva [86]

Answer:

1. 6

2. 24

Step-by-step explanation:

Substitute in the values for <em>t</em> and solve the expression.

3 0

3 years ago

Read 2 more answers

If (20, 14) is an ordered pair of the inverse of F(x), which of the following is an

Law Incorporation [45]

Answer:

A. (14,20)

Step-by-step explanation:

The inverse relation is found by swapping x and y in the ordered pair.

When ...

14 = f^-1(20)

then ...

20 = f(14)

The corresponding ordered pair is (14, 20).

3 0

3 years ago

Can someone help me with the first question please

snow_lady [41]

Answer:

Step-by-step explanation:

The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.

<h3>Midpoint</h3>

The midpoint of XZ is the average of the coordinates of X and Z.

M = (X +Z)/2

M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)

<h3>Line through two points</h3>

The slope of the median can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

The slope of line YM is ...

m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line with slope 17/5 through point Y(7, 4) is ...

y -4 = 17/5(x -7)

Subtracting the right side, and multiplying by 5 gives ...

5(y -4) -17(x -7) = 0

5y -17x +99 = 0 . . . . equation of the median through Y

3 0

2 years ago

What is the slope of the line given by the equation y= -3x

galben [10]

Answer:

-3

Step-by-step explanation:

The given equation is in slope intercept form.

The form is y=mx+b

This is where "m" is the slope, and "b" is the y intercept.

So in this equation, m=-3.

Therefore, the slope is -3.

3 0

3 years ago