Mathematics High School

Show that each of the following values for the given variable is a solution to the
given equation. Show the calculations that lead to your answer.
(a) 3x + 4 = 7
for x = 1

Answers

Answer 1

Part a)

Answer:

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

Step-by-step explanation:

Given the equation

[tex]3x + 4 = 7[/tex]

solving the equation for x = 1

substituting the value of x = 1 in the equation

[tex]3\left(1\right)+\:4\:=\:7[/tex]

[tex]7=7[/tex]

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

Part b)

Answer:

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

Step-by-step explanation:

Given the equation

[tex]\frac{x-3}{2}=6[/tex]

solving the equation for x = 15

substituting the value of x = 15 in the equation

[tex]\frac{15-3}{2}=6[/tex]

[tex]\frac{12}{2}=6[/tex]

[tex]6=6[/tex]

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

Part c)

Answer:

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2=-2x+3[/tex]

solving the equation for x = -3

substituting the value of x = -3 in the equation

[tex]x^2=-2x+3[/tex]

[tex]\left(-3\right)^2=-2\left(-3\right)+3[/tex]

[tex]9 = 6 + 3[/tex]

[tex]9 = 9[/tex]

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Related Questions

PLEASE PLEASE HELP IVE BEEN DOING THIS FOR AN HOUR

Answers

Answer:

Use: sin

h= 78.8

Step-by-step explanation:

A man drove his car a distance of 366 miles in 6 hours. If continuing at this rate is possible, he will travel ____ miles in 7 hours. How many miles will he travel in 7 hours?

Answers

he will travel 427 miles in 7 hours

How do you graph y=-10x+200 ?

Answers

Answer:

your slope is -10, and the y-intercept is 200

Step-by-step explanation:

Start at (0,200), or just 200 on the y axis. your slope is -10, or -10/200 in rise over run form. you want to go to the right one, and down 10. So make a dot at (0,200), then (1,190), then (2,180) and so on. to go in the negatives it is the opposite. left one, then up 10, so (-1, 210), then (-2,220) and so on.

d + 3567 = 0
what does “d” equal?

Answers

Answer:

d= -3567

Step-by-step explanation:

d+3567=0

subtract 3567 from both sides

d= -3567

Answer:

d=−3567

Step-by-step explanation:

Add the inverse to it to get 0

I don't have a question but a message for everybody out there:

PLEASE EXCEPT JESUS AS YOUR ONE AND ONLY SAVIOR!!!
FOR TIME IS TOO SHORT, THE SECOND COMING OF THE LORD IS VERY SOON!!
PLEASE REPENT OF YOUR SINS, ASK GOD FOR FORGIVENESS!!!!

John 3:16
“For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.

Revelation 22:12-13
“Behold, I am coming soon, bringing my recompense with me, to repay everyone for what he has done. I am the Alpha and the Omega, the first and the last, the beginning and the end.”

Revelation 22:12
“Behold, I am coming soon, bringing my recompense with me, to repay everyone for what he has done.

1 John 2:18
Children, it is the last hour, and as you have heard that antichrist is coming, so now many antichrists have come. Therefore we know that it is the last hour.

AGAIN, PLEASE EXCEPT JESUS AS YOUR ONE AND ONLY SAVIOR!!!
FOR TIME IS TOO SHORT, THE SECOND COMING OF THE LORD IS VERY SOON!!
PLEASE REPENT OF YOUR SINS, ASK GOD FOR FORGIVENESS!!!!

Answers

Answer:

Amen Sister!

A whole lot of people who are against the word are gonna delete this

*cough* *cough* Karens *cough*

Step-by-step explanation:

How do I properly repent?

Plz mark B R A I N L I E S T

What’s the answer to this pls? Thanks!

Answers

Answer: SAS

Step-by-step explanation:

It is given that AC is congruent to CE - Sides are equal

Angle ACB is congruent to angle DCE because they are vertical angles, and vertical angles are congruent - Angles are equal

It is given that BC is congruent to CD - Sides are equal

- 1/2 (- 3/2x + 6x + 1) - 3x

Answers

Answer: = -2/4x + -1/2

Step-by-step explanation:

hope this helped

solve the equation tan(x+pi/3)=square root3/3 over the interval [0,2pi]

a. pi/6 only
b. 11pi/6 only
c. pi/6 and 7pi/6
d. 5pi/6 and 11pi/6

Answers

Answer:

Answer D 5pi over 6 and 11pi over 6

Step-by-step explanation:

Got it wrong lol

Can anyone help with these questions?I really don’t understand them

Answers

Answer:

it is 7 i think

Step-by-step explanation:

Find the geometric mean of
4/5 and 180.

Answers

Answer:

Step-by-step explanation:

multiply 4/5 and 180 then take the square root

sqrt(4/5*180) = sqrt(144) = 12

Find the unit rate. Round to the nearest hundredth, if necessary.

$180 for 16 ft2

Answers

Answer: 11.20

Step-by-step explanation: i'm not good at rounding

What is the lateral surface area of the rectangular prism.

a 520
b 856
c 576
d 616

Answers

Answer:

c is the correct anser your welcome.

A line to purchase concert tickets is moving at a rate of 5 feet every 20 minutes. At this rate, how long will a group of friends have been in line if they moved 30 feet?

Answers

Answer:

1 hour

Step-by-step explanation:

Answer:

120 minutes or 2 hours

Step-by-step explanation:

I need help on these three PLEASE!!

Answers

idek it looks difficult

Answer:

Hi... You should do like this

Zenin earns $142 per shift at his new job. During a pay period, he works 12 shifts.
What would his pay be for that period?

Answers

Answer:

$1,704

Step-by-step explanation:

Multiply because it says he makes 142 dollars each shift and he works 12 shifts. Hope this helped!! Give brainliest please.

which ones are rational and which are irrational?

Answers

Answer:

irrational, irrational, irrational, rational, rational

Step-by-step explanation:

Someone pls help me! I’m so confused!

Answers

9514 1404 393

Answer:

(5, -1)(3, 1)(0, 4)

Step-by-step explanation:

Apparently, you are supposed to assume that ...

y = g(x)

y = 4 - x

For the one given value of x, the corresponding y value is ...

y = 4 - 3 = 1

So, for that x-value, the table entry is (x, y) = (3, 1).

To find the missing x-values, you can solve the equation for x.

y = 4 - x

x + y = 4 . . . . add x

x = 4 - y . . . . subtract y

Now, for the given y-values, we can find the corresponding x:

x = 4 -(-1) = 5 ⇒ (x, y) = (5, -1)

x = 4 -(4) = 0 ⇒ (x, y) = (0, 4)

So, your table will be ...

solve for x and show work

-2(8x - 1) = 4(3x + 4)

Answers

Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

Simplify

-16x + 2 = 12x + 16

Subtract 12x from both sides

-28x + 2 = 16

subtract 2 from both sides

-28x = 14

divide both sides with -28

x = -14/28

simplify

x = -1/2

Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

-16x + 2 = 4(3x + 4)

3t – 2(t – 1) ≥ 5t – 4(2 + t) please help ill give the crown thingy to the first person who gives me an answer

Answers

Answer:

Infinite many solutions

Meaning there is more than one solution

Hope this helps!

Let me know if this is right.

Step-by-step explanation:

Remove the parentheses

3t-2t+2 > 5t-8+4t

t+2 > t-8

Cancel equal terms

2 > -8

The statement is true

PLEASE NOTE:That sign you are putting under this > I didn't put it so just remember to put it.

The students in Roberto's school are painting a mural that will be 15 feet by 8 feet. First they make a scale drawing of the mural with a scale of 2 feet : 5 feet. Question 1 Part A Write an equation for the proportional relationship between the drawing's lengths x in feet and the actual mural's lengths y in feet.

Answers

Answer:

x = 2 * (y/5) feets

Step-by-step explanation:

Given that :

Actual dimension of mural = 15 feet by 8 feet

Scale drawing = 2 feet : 5 feet

2 feets on the scale drawing represents 5 feets of the actual drawing.

Drawing length (x)

Actual mural length (y)

x = 2 * (y/5) feets

Hence, dimension of scale drawing:

x = 2 * (15/5) ; x = 2 * (8/5)

x = 6 feets ; 3.2 feets

A circular rug has a diameter of 3 feet. Part A What is the area in square feet, of the rug rounded to the nearest whole number? Enter your answer in the space provided

Answers

Answer:

7.069 ft²

Step-by-step explanation:

Given that:

Shape of rug = circular

Diameter of rug = 3 feets

The Area in square feet of the rug =?

Area of a circle :

πr²

r = Radius

r = diameter / 2 = 3 /2 = 1.5 feets

Area = π * 1.5^2

Area = 7.0685834

Area = 7.069 ft²

What is the annual interest on a rate 5,000 loan with a simple interest of 6%

Answers

9514 1404 393

Answer:

300

Step-by-step explanation:

The annual interest is the product of the annual interest rate and the loan amount:

I = Prt

I = 5000·0.06·1 = 300

The annual interest on a 5,000 loan at 6% is 300.

You are 3 years less than twice the age of your sister. Let s be the age (in years) of your sister. Write an expression for your age in terms of your sister.

Answers

Answer:

2x-3=y

Step-by-step explanation:

let age of sister be x

my age be y

therefore 2x-3=y

The sum of Jason’s 5 quiz scores is 95. What is the
average of Jason’s quiz scores?

A.95
B.45
C.20
D.19
E.11

Answers

Answer:

Step-by-step explanation:

SIR HOPE THIS HELP :) MAY I GET BRAINLIST PLEASE

Using the average formular, the average value of Jason's quiz score will be 19

Using average formula:

(Sum of scores ÷ frequency)

Given the Parameters :

Sum of scores = 95 Frequency = 5

Hence,

Average = 95 / 5 = 19

Hence, the average score is 19.

Learn more : https://brainly.com/question/25568773

A student used the slope-intersept form to write the equation of a line that has a slope of -2 and passes through the point (-3/10, 5). The students work is shown on the left. One of the pickures has the answers.

Answers

Answer:

D. Step 6: student needed to add the b value

Explanation:

All the steps are correct and they get the b value of 4.4. Since it's positive, it should be added in the orignal equation. So, it should look like y = -2x + 4.4 instead of y = -2x - 4.4

Express 1/3 as a decimal.

Answers

Answer:

.33 repeat

Step-by-step explanation:

Hope this helps. Pls give brainliest.

There are 4 roses for every 7 carnations in a bouquet. Mr. Rodriguez buys a bouquet with 12 roses in it. How many carnations are in a bouquet Mr. Rodriguez bought?

Answers

Charlidamelio is overrated

Solve for x: 2x/5 = 12/8
Halp ASAP.Thxxxx!

Answers

Answer:

x= 15/4

Step-by-step explanation:

cross multiply then divide both sides by 16

Answer:

x=15/4

Step-by-step explanation:

Precalculus to wa
Please help Ik the language

Answers

Answer:

In mathematics education, precalculus or College algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

Step-by-step explanation:

Dude you can search this stuff up

1. The table and graph below show the amount of money Mi-Ling and Daniel
save each week. Who saves more each week? Explain. (Examples 1, 2, and 4)
Mi-Ling's Savings
Time (weeks)
Savings ($)
Daniel's Savings
50
ty
40
30
20
10
2
$30
Savings ($)
3
$45
4
$60
0 1 2 3 4 5
Number of Weeks

Answers

Answer:

Mi-Ling saves more money.

Step-by-step explanation:

At 3 weeks Mi-Ling has saved $45, whereas Daniel at 3 weeks has only saved $30

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Show that each of the following values for the given variable is a solution to the given equation. Show the calculations that lead to your answer. (a) 3x + 4 = 7 for x = 1

Answers

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Show that each of the following values for the given variable is a solution to the
given equation. Show the calculations that lead to your answer.
(a) 3x + 4 = 7
for x = 1