What is the solution to the equation below. 12 + square root 1 - 4x = 15

What Is The Solution To The Equation Below. 12 + Square Root 1 - 4x = 15

Answers

Answer 1

Answer:

C) x = -2

Step-by-step explanation:

Original equation:

[tex]12+\sqrt{1-4x}=15\\[/tex]

subtract 12 from both sides:

[tex]\implies \sqrt{1-4x}=3[/tex]

square both sides:

[tex]\implies 1-4x=9[/tex]

subtract 1 from both sides:

[tex]\implies -4x=8[/tex]

divide both sides by -4:

[tex]\implies x=-2[/tex]

Answer 2

[tex]\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15[/tex]

[tex]\\ \tt\rightarrowtail \sqrt{1-4x}=3[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=3^2[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=9[/tex]

[tex]\\ \tt\rightarrowtail -4x=8[/tex]

[tex]\\ \tt\rightarrowtail x=-2[/tex]


Related Questions

a box of dog biscuits biscuits has 18 biscuits a box cost $2.88 how much does one biscuit cost​

Answers

Answer:

0.16

Step-by-step explanation:

2.88 divided by 18 = .16

Answer:

0.16

Step-by-step explanation:

2.88/18 = 0.16

because you divide the total cost of the box of dog biscuits with the total amount of biscuits that are in the box and then that gives you 0.16.

So each dog biscuit cost $ 0.16

Help me with this please !! , the struggle is reall. :/

Answers

Answer: The slope would be 2/3. The parallel slope would be 2/3. the parallel intercept is -4

Step-by-step explanation: I how this helps!

Find the cube roots of 27(cos 330° + i sin 330°)

Answers

Answer:

See below for all the cube roots

Step-by-step explanation:

DeMoivre's Theorem

Let [tex]z=r(cos\theta+isin\theta)[/tex] be a complex number in polar form, where [tex]n[/tex] is an integer and [tex]n\geq1[/tex]. If [tex]z^n=r^n(cos\theta+isin\theta)^n[/tex], then [tex]z^n=r^n(cos(n\theta)+isin(n\theta))[/tex].

Nth Root of a Complex Number

If [tex]n[/tex] is any positive integer, the nth roots of [tex]z=rcis\theta[/tex] are given by [tex]\sqrt[n]{rcis\theta}=(rcis\theta)^{\frac{1}{n}}[/tex] where the nth roots are found with the formulas:

[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+360^\circ k}{n})\biggr][/tex] for degrees (the one applicable to this problem)[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+2\pi k}{n})\biggr][/tex] for radians

for  [tex]k=0,1,2,...\:,n-1[/tex]

Calculation

[tex]z=27(cos330^\circ+isin330^\circ)\\\\\sqrt[3]{z} =\sqrt[3]{27(cos330^\circ+isin330^\circ)}\\\\z^{\frac{1}{3}} =(27(cos330^\circ+isin330^\circ))^{\frac{1}{3}}\\\\z^{\frac{1}{3}} =27^{\frac{1}{3}}(cos(\frac{1}{3}\cdot330^\circ)+isin(\frac{1}{3}\cdot330^\circ))\\\\z^{\frac{1}{3}} =3(cos110^\circ+isin110^\circ)[/tex]

First cube root where k=2

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(2)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+720^\circ}{3})\biggr]\\3\biggr[cis(\frac{1050^\circ}{3})\biggr]\\3\biggr[cis(350^\circ)\biggr]\\3\biggr[cos(350^\circ)+isin(350^\circ)\biggr][/tex]

Second cube root where k=1

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(1)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+360^\circ}{3})\biggr]\\3\biggr[cis(\frac{690^\circ}{3})\biggr]\\3\biggr[cis(230^\circ)\biggr]\\3\biggr[cos(230^\circ)+isin(230^\circ)\biggr][/tex]

Third cube root where k=0

[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(0)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ}{3})\biggr]\\3\biggr[cis(110^\circ)\biggr]\\3\biggr[cos(110^\circ)+isin(110^\circ)\biggr][/tex]

Pls, look at the picture for the question.

Answers

Answer:

It would be m = -2

Step-by-step explanation:

For this line slope would be negative because it is going down. It is going 2 down 1 across. Since it is rise over run it would be -2/1.

Which statement is true about 68 and 112?

A. 68 is greater than 112 because the benchmark 0 is closer to 68 than it is to 112.

B. 68 is less than 112 because 68 is less than the benchmark 12, and 112 is greater than the benchmark 12.

C. 68 is less than 112 because benchmark 1 is closer to 68 than it is to 112.

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

Answers

Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

ANSWER it please Math.Help. Give Explanation on how you did it, too, because my brain needs to know

Answers

[tex]\boxed{y}=\cfrac{1}{2}x-4\\\\ y=-2x+1 \end{cases}\qquad \qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\boxed{y}}{\cfrac{1}{2}x-4}~~ = ~~-2x+1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{1}{2}x-4 \right)~~ = ~~2(-2x+1)}\implies x-8=-4x+2\implies 5x-8=2[/tex]

[tex]5x=10\implies x=\cfrac{10}{5}\implies \blacktriangleright x=2 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y==\cfrac{1}{2}x-4}\implies y=\cfrac{1}{2}(2)-4\implies \blacktriangleright y = -3 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (2~~,~~-3)~\hfill[/tex]

Suppose the equation 28 = x•4 in the Example is written in the form 4x = 28.
Is 7 still a solution? Explain.

Answers

Answer:

Divide each term in

4

x

=

28

by

4

.

4

x

4

=

28

4

Cancel the common factor of

4

.

Tap for more steps...

x

=

28

4

Divide

28

by

4

.

x

=

7

Step-by-step explanation:

hope it helps you

y=-x+4
y=x-4
the picture gives instructions

Answers

Answer:

This equation has No Solutions.

Step-by-step explanation:

It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.

I hope it helps! Have a great day!

Lilac~

The solution to the system of equation is (4, 0)

System of equation

Given the system of equation expressed as:

y=-x+4

y=x-4

Equate both expressions to have;

-x + 4 = x - 4

collect the like terms

-x - x = -4- -4

-2x = -8

x = 4

Since y = x - 4

y = 4-4

y = 0

Hence the solution to the system of equation is (4, 0)

Learn more on system of equations here: https://brainly.com/question/14323743

Pls help me, I need it pls​

Answers

Answer: think your not stups ur smart

Step-by-step explanation:

4 5/6 subtracted by 2 2/6

Answers

Answer:

41/12

Step-by-step explanation:

Answer:

2 1/2 (or 2 3/6)

Step-by-step explanation:

[tex]\frac{Numerator}{Denominator}[/tex]

both denominators are the same so you can just subtract 2 from 4 and also the numerators which are 2 and 5.

4 - 2 = 2

5/6 - 2/6 = 3/6

so the answer is 2 3/6 which simplifies to 2 1/2

Determine whether the given value is a solution of the equation.

Answers

Answer:

13 is a solution.

Step-by-step explanation:

[tex]7w = 94 \\ \frac{7w}{7} = \frac{94}{7} \\ w = 13.42 \\ [/tex]

13.42 ≈ 13

Give any two (2) reason why addition and subtraction should be taught first.

Answers

Answer:

I think they should be taught first so that later on they can use it, and also just in case they forget to know how to multiply or divide they can sorta use addition and subtract for it.


Another reason is that it is easier and since they are teaching it to younger kids it would be helpful to start off a bit easy.

Step-by-step explanation:

I hope it helps, sorry if it doesn’t!

Muffin<3

how do you find the value of pi using the area

Answers

Answer:

How to find the area in terms of pi?

Answer: First divide the circumference by Pi to give the diameter of the circle (27 divided by 3.14 = 8.59...). Now halve the diameter to give the radius (8.59 divided by 2 is 4.29...). Now use Pi*r^2 to find the area of the circle (Pi times 4.29^2 = 58.0 cm^2 to 1 decimal place)

Step-by-step explanation:


Answers for these? If anyone can do my last 5 credits of geometry let me know I can pay you, just never been good at geometry

Answers

Step-by-step explanation:

F = 9(11) + 19 [ z = 11]

= (9 × 11) + 19

= 99 + 19

= 118

H = 11(11) - 3 [z = 11]

= 11 ×11 - 3

= 121 - 3

= 118

Answer:

Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.

Step-by-step explanation:

Step 1:

Insert z=11 into (9z+19), angle F,  and (11z-3), Angle H,  to find the angle lengths.

9(11)+19=118

11(11)-3=118

We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.

Sentence completion: Angle F and H are equal (We see that in step 1), and  Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!

In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How many of the quarters are on tails? ​

Answers

Answer:

13 quarters must be tails.

Step-by-step explanation:

Number of quarters = 40% of 50 coins

Number of quarters = 40/100 * 50 = 20 coins which are quarters.

35% of these 20 quarters on heads. We can proceed in 2 ways from here.

We can actually find the number of quarters that are on heads.

35/100 * 20 = 7 quarters are showing heads.

Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.

The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.

A stick 1 meter long casts a shadow 1.4 meters long. A building casts a shadow 21 meters long. How tall is the building (to 2 decimal places)

Answers

Step-by-step explanation:

similar triangles.

all angles are the same in both triangles.

and the ratio of the lengths of a pair of corresponding sides in both triangles is the same for all corresponding side pairs.

so,

21 / 1.4 = height / 1 = height = 15

the building is 15.00 meters tall.

What is the median movie ticket price?
F. $4.25
G. $4.75
H. $5.00
J. 5.50

Answers

Answer:

About $4.88.

Step-by-step explanation:

Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.

Answers

Answer:

4/5x + 7

Step-by-step explanation:

the slope-intercept form is y = ax+b

a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4

There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5

b is the intercept to get it use the point (0,7)

so y = 4/5x+b, 7 = 4/5 * 0 + b,  then b = 7

how many 2/5 are in 4?

Answers

Answer:

10

For this case what we must do is a division using the following relationship:

Substituting values we have:

Rewriting the fraction we have:

Simplifying we have:

Answer:

The number of times repeated 2/5 for 4 is:

10

Solve the formula for x.
Jx + Ky=M

Answers

Answer: k=m/j - ky/j

Algebra A
dations and inequantes
2. Which of the following graphs would represent the solution to y + 2 > 5?
-2 -1 0 1
2 3 4 5 6 7 8 9 10
+++
-109-8-7-6-5-4-3-2-101234 5 6 7 8 910
-2 -1 0 1 2 3 4 5 6 7 8 9 10
-2 -1 0 1 2 3 4 5 6 7 8 9 10
H4

Answers

[tex]\\ \tt\longrightarrow y+2>5[/tex]

[tex]\\ \tt\longrightarrow y>5-2[/tex]

[tex]\\ \tt\longrightarrow y>3[/tex]

[tex]\\ \tt\longrightarrow y\in (3,\infty)[/tex]

Graph attached

Answer:

see attached diagram

Step-by-step explanation:

y + 2 > 5

Subtract 2 from both sides:

⇒ y > 3

Graphing inequalities

< or > : dashed line to show that the line is not included in the region.

≤ or ≥ : solid line to show that the line is included in the region.

Draw a horizontal dashed line at y = 3 and shade above the line.

Number line

≤ or ≥ : closed circle

< or > : open circle

Draw an open circle at 3 and shade to the right.

Does the 90​% confidence interval for the reduction in crime in the preschool group include​ zero? A. No​, the 90​% confidence interval for the population proportion is 1.70 1.70 to 4.10 4.10. ​(Round to two decimal places as​ needed.) Your answer is not correct.B. Yes​, the 90​% confidence interval for the population proportion is enter your response here to enter your response here . ​(Round to two decimal places as​ needed.) Part 3 Is this​ important? A. ​Yes, if zero is included in the confidence​ interval, then it is possible that there is a difference between the preschool programs. B. ​No, this is not important because confidence intervals always contain zero. C. ​No, this is not important because confidence intervals never contain zero. D. ​Yes, if zero is included in the confidence​ interval, then it is possible that there is no difference between the preschool progra

Answers

the answer is A because the population is 1.70 to 4.10

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Copyright © 2003-2022 International Academy of Science. All Rights Reserved.

Answers

ANSWER: 488in²

The surface area of the figure is:
3 × 11 × 2 + 3 × 3 × 2 + 6 × 8 × 2 + 11 × 6 × 2 + 8 × 11 × 2

= 66 + 18 + 96 + 132 + 176
= 488in² (addition)

(Please give me positive feedback!! Thank you <3)

Different types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another. The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below. Are the sample bees likely to be from a population of this one type of honeybee? determine p value that would be associated with two-tail hypothesis test

Answers

Answer:

Please see the analysis

The p-value that would be associated with the two-tail hypothesis test is 0.03.

What is a Hypothesis Test?

A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.

How to determine?

The mean will be 2.587

The standard deviation will be 0.467

By two tail test,

The p-value is 0.03

Learn more about Hypothesis Test:

https://brainly.com/question/4232174

#SPJ2

123456799203837i3i3i2o2o3o4ieue

Answers

um i don’t think this is a problem

Find the price of each item.
this
Candy and a rose cost $7.25.
A rose and a card cost $4.25
Candy and a card cost $6.00.

Answers

Answer:

$7.25 + $4.25 + 6.00 = $17.50

Step-by-step explanation:

7.25 + 4.25= 11.50 + 6.00= 17.50

With an 80% full tank a vehicle can travel 500 kilometers.How far can it travel with a full tank?Give the answer to the nearest kilometer​

Answers

Answer:

625

Step-by-step explanation:

so we do 500/ 0.6 = 625

i need assistance on This Math problem no links or I will report you

Answers

Answer:

B 26 < 30

Step-by-step explanation:

30 is greater than 26, and this is the only statement that is correct.

What are the distance and slope formulas answers for the following question?​

Answers

Slope because I think so

What’s the correct answer for this question? Any help is appreciated

Answers

Answer:

Step-by-step explanation:

$5.79 for 8 quarts

[tex]\frac{5.79}{8}[/tex] = 0.72375 ≈ 0.72  dollar per quart

[tex]\frac{8}{5.79}[/tex] ≈ 1.38 quarts per dollar  

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