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3 years ago

Complete the number sentence to show the distributive property. 7×6=

Mathematics

2 answers:

Katarina [22]3 years ago

8 0

42 is the right answer

Semmy [17]3 years ago

4 0

42 is the answer
merry Christmas and a happy new year :)

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If f(x) = 2x-7, what is the equation for f^-1(x)?

quester [9]

F= -1
2x (-1)-7= -2-7= -9

8 0

4 years ago

The inequality 6 - 2/3x < x - 9 is equilvalent to ...

erma4kov [3.2K]

The answer is letter a

6 0

3 years ago

The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 vote

Likurg_2 [28]

Answer:

Test statistic z = 2.3839.

P-value = 0.0086.

At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is above 56%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.56\\\\H_a:\pi>0.56$

The significance level is 0.05.

The sample has a size n=900.

The sample proportion is p=0.6.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.3839)=0.0086$

As the P-value (0.0086) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

3 0

4 years ago

A quadratic function has its vertex at the point (6,10). The function passes through the point (7, – 4).

andrew11 [14]

Answer:

Quadratic coefficient = -14, linear coefficient = 168, constant term = -494

Step-by-step explanation:

Its easiest to first start out with a vertex form equation because it can then be converted to a standard quadratic.

given a vertex at (6,10) , and point of intersection at (7,-4), the equation can be set up like this:

y = a(x-6)^2+10, because we know h and k from the vertex.

We also know y and x from the given point of intersection so a can be solved.

-4 = a(7-6)^2+10

-4 = a + 10

-4-10 = a

a = -14 which is also known as the quadratic coefficient because it is part of a second degree quantity and a Trionomial as a whole(quadratic).

since all the variables are known, you can

expand the equation and set it to standard form

y = -14(x-6)^2+10

y = -14(x^2-12x+36)+10

y = -14x^2+168x-504+10

y = -14x^2+168x-494

For reference, the standard form equation is ax^2+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.

In this instance, -14x^2+168x-494 = ax^2+bx+c

8 0

3 years ago

A line goes through the points (-4,6) and (-2,3). A line perpendicular to that line is:

gulaghasi [49]

Answer: A line with a slope of 2

Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)

i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.

5 0

3 years ago