MATHEMATICS HIGH SCHOOL

Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer 1

Answer:

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer 2

Answer:

Answer:

x = - 3.5

Step-by-step explanation:

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An photo studio is going to display a portrait in their lobby. The portrait is being reproduced from a photo with dimensions 6 inches by 3 inches. If the dimensions of the portrait in the lobby are 20 times the dimensions of the original photo, determine the area of the portrait in square feet.a. 7,200 ft2b. 50 ftc. 300 ftd. 200 ft
If 15 x 332 = 4,980, then
7/15 multiplied by 5/14
Suppose both the mean and median of a distribution are 6. Which of these statement is true about the mode of the distribution? A. The mode is equal to 6. B. The mode is greater than 6. C. The mode is less than 6. D. There is not enough information to compare the mode.

connor is using a computer program to graph the function H(n)= -13n - 421. He wants to see the intercepts. Which minimum values should he use to set up the viewing window?

Answers

I can't see any slick, easy way to tell without finding
the intercepts, so here goes:

The y-intercept is the value of   H(n) when 'n' is zero.

H(0) = -13(0) - 421

      = - 421 .

The n-intercept is the value of 'n' when H(n) is zero.

0 = -13n - 421

Add 13n to each side: 13n = - 421

Divide each side by 13 :    n = - 421/13 = - 32.4...

Connor should set up the viewing window so that 'n' displays
at least down to - 33 , and H(n) displays at least down to - 421 .

The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 25 inches and k = 15, what is its volume? 375 cubic inches
455 cubic inches
1 2/3 cubic inches

Answers

The problem says that V(x)varies directly with its length. This is a proportionality problem. So, V(x) =kl. If you are given a length of 25 inches and a k (proportionality constant)of 15, you are required to find its volume V(x).

V(x) = kl
V(x) = (15) (25 inches)
V(x) = 375 cubic inches

The volume of the box is 375cubic inches.

What is the slope of the
points (4, -2) and (-4, -4)?

Answers

Answer:

= 1/4

Step-by-step explanation:

We can find the slope given two points by using the following formula

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

= (-4 - -2)/(-4 -4)

= (-4+2)/(-4-4)

= -2/-8

= 1/4

Answer:

I think the slope is 1/4

Step-by-step explanation:

if you use the slope equation y1-y2/x1-x2, then you get (-2 - -4)/(4 - -4), which is 2/8, which is 1/4

Michael is taking a survey of students at his high school to find out how many hours they work per week. He surveys all of the students in his Freshman English class. Is this a good sampling method?

Answers

No, he should have taken a random sample of all students at the school to get a good sample of the entire population of the school.

No, he should have surveyed students in his PE class since all grades are represented in that class.

Can someone show me how to do Mean absolute deviation What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 4.3 1 2 4.9 1.2

Answers

Data Set Mean MAD 1 4.3 1 2 4.9 1.2 Mean-to-MAD ratio: Data set 1: 4.3/1 = 4.3 Data set 2: 4.9/1.2 = 4.08 Mean is the average of the data set. 4.3 + 4.08 = 8.38 8.38 / 2 = 4.19 or 4.20

Kyoki will accept lawn mowing jobs that take him less than 1 hour or more than 4 hours. 1. Write two inequalities to describe the jobs Kyoki will take.

Answers

Answer:

There is no short answer.

Step-by-step explanation:

Let's say that the time it takes for Kyoki to finish the job is X and the Y represents if he takes the job or doesn't in 1 or 0. Than for the conditions given in the question an inequality can be written as;

Y = 1 for T < 1

Y = 0 for 1 < T < 4

Y = 1 for T > 4

I hope this answer helps.

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