HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.
Check your solutions algebraically and identify any extraneous solutions. Write it step by step.

HELP PLEASE ITS DUE IN 10 MIN Use Algebraic Strategies To Solve For X.Check Your Solutions Algebraically

Answers

Answer 1

Answer:

x = 4, x ≠ -1

Step-by-step explanation:

√3x + 4 = x

(√3x + 4)² = x² (Square both sides to get rid of the radical.)

3x + 4 = x²

0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)

0 = (x - 4)(x + 1) (Factor.)

x = 4   x = -1

Now we need to check for extraneous solutions:

√3(4) + 4 = 4

√12 + 4 = 4

√16 = 4

4 = 4

√3(-1) + 4 = -1

√-3 +4 = -1

√1 = -1

1 ≠ -1

-1 is an extraneous solution.


Related Questions

can i have points please?

Answers

Answer:

You are giving points wow thx.

And yes just answer questions for points

Answer:

I SMELL POINTS

Step-by-step explanation:

YUM

Write an inequality for the graph.

Answers

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

11cm
14cm
9cm
20cm
find the
area
the shape

Answers

That first question is confusing but if I can break that down I think it will be 82

If the length of a rectangle is
expressed by 22 + 41-8 and the
width is 3x What is the area of the
rectangle?

Answers

I think that the length's area is 6075

HELP! Ev evaluate the square root of 16 plus the square root of 29, correct to two decimal places.

Answers

Answer:

[tex]\sqrt{16} +\sqrt{29} =9.39[/tex]

Step-by-step explanation:

[tex]\sqrt{16} =4[/tex]

[tex]\sqrt{29}[/tex] ≅ [tex]5.39[/tex]

[tex]4+5.39=9.39[/tex]

Answer:

9.39

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

[tex]\sqrt{29}[/tex] = 5.39

4 + 5.39 = 9.39

YOU NEED TO ANSWER THIS NOW>
What is the equation in slope-intercept form of the line that passes through the points ( -4, 47) and ( 2 , -16)?
ANSWER CHOICES BELOW...ANSWER CORRECTLY PLZ TAKING INTERIM NOW

Answers

Answer:

C

Step-by-step explanation:

Slope intercept form equation is y=mx+b

M=Slope

Slope equation is y2-y1 over x2-x1

So -16 - 47 over 2- (-4)

-63 over 6

Divide by 3 to simplify

= -21 over 2

Keep that as your answer for slope because a mixed number can't be used for slope but an improper fraction is perfectly fine

To find b use one point given (I chose to use (2, -16)

Plug that in and your slope to find b

-16= -21/2 (2) +b

-16= -21+b

+21 +21

5=b

Now plug that in and youre done

Y= -21/2x + 5

Answer:

hi

Step-by-step explanation:

hey bestie

10. Which polynomial expresses the difference of these two polynomials?
(74+6% - 10) - (- 346 - 7k + 1)
O 10k - 1k - 11
O 1046 - 16 - 9
O 10k + 13k – 11
O 10k +13k - 9

Answers

I think that answer is 10k+13k-11

In the process of making a financial forecast, Farid has been looking closely at his
variable expenses. Currently, each week he spends an average of $25 on food, $30 on
entertainment, and $40 on clothing and other purchases. If Farid reduced his variable
expenses in each of these three categories by $7 a week, how much would he save
over the course of one year?

Answers

Answer:

1092

Step-by-step explanation:

first calculate expense for each week;

25+30+40= 95

expense after saving

25-7= 18

30-7=23

40-7=33

18+23+33= 74

total saving for each week= 95-74=21

(you can also just do 7*3=21 to know total saving each week)

weeks in a year=

365 days/7= 52.14 = 52 weeks

total savings for the year= 52*21=$1092

Answer:

$1092

Step-by-step explanation:

There are 3 variables

Food, entertainment and clothing and other purchases

Saving amount is

$7 per each variable per week

Total saving per week is

$7*3 = $21

Saving per year considering 52 weeks per average year is:

$21*52 = $1092

A candy store made 6/1/2pounds of fudge in 1/4 hour. how many pounds of fudge can the store make in 1hour?​

Answers

Answer:

26 pounds of fudge in one hour

Can someone plz help me

Answers

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

There are 340 calories in five ounces of a certain ice cream. How many calories are there in three pounds?

Answers

68 pounds I got to get off my phone number I got it

When you went apple picking, you got a total of 25 apples.
However, 10 of the apples weren't edible because they were
rotten. What percent of apples that you picked were edible?
%

Answers

Answer:

60% were edible. 40% were not.

Step-by-step explanation:

Answer: is 60%

Step-by-step explanation:

Will mark brainlest for a person who answers first IF YPU HAVE A EXPLANATION TO

Answers

Answer:

TAG is described as an acute angle.

Step-by-step explanation:

This is because TAG is an angle that is less than 90 degrees.

Answer:

acute

Step-by-step explanation:

TAG

think of the angle, the gap is small and T is close to G

if it would be right the T would be upright

if it was straight T would lay flat corresponding to G making a line

if it was obtuse the gap would surpass the right angle outward

3:20 what time will it be in 35 minutes

Answers

Answer: 3:55

Add 20 and 35, to get the number of minutes out of 60.

20 + 35 = 55

The time will be 3:55 35 minutes after 3:20.

Hope this helps you!

Answer:

It will be 3:55 because 20 plus 35 equals 55 making it 3:55 in the next 35 minutes.

Step-by-step explanation:

20+35=55

ANSWER>> DETERMINE THE RANGE OF THE FUNCTION.
.
y = 1/4x^2 - 5
.
A) All real numbers.
B) All integers less than or equal to -5.
C) All integers greater than or equal to -5.
D) All real numbers greater than or equal to -5.

Answers

Answer:

D

Step-by-step explanation:

When the function or the coefficient in this case 1/4x^2 is positive it means it's opening up like a u, meaning all the values will be bigger than the C term or -5 in this case.

Answer:

D

Step-by-step explanation:

the function is open-up shape, and the vertex is (0,-5)

Because it opens up, the vertex is minimum value.

range is equal to or greater than -5

Solve 4(x + 1) = 4x + 4

A- No solution
B- 0
C- All real numbers
D- 1

Answers

The answer is: c- all real numbers

1) Ao somar o quíntuplo de um número com 5², o total é 300. Considerando x como a incógnita. Qual o valor de x?
a)25
b)5
c)325
d)55

2) O triplo de um número aumentado do dobro desse mesmo número é igual a 100. Considerando a incógnita como y, qual o valor de y?
a)100
b)20
c)24
d)5

3) A metade de um número, menos 21, é igual a -5. Considere x o valor a ser determinado. É correto afirmar que x é igual a?
a)52
b)-32
c)32
d)16

4)Ao resolver a expressão y - 30 = 3 . 15, qual o valor de y?
a)75
b)65
c)55
d)45

5)Observe a equação 3x + 72 = 104. Qual descrição abaixo corresponde a ela?
a)A soma entre o triplo de um número e 72 é igual a 104
b)O triplo de um número subtraído de 104 é igual a 72
c)O triplo de 3 é igual a 104 somado a 72

6) Quando subtraímos 50 do triplo um número, obtemos 40. Qual equação representa essa afirmação?
a)3x = 50 - 40
b)3x - 50 = 40
c)3x = 40 - 50

7) Determine a solução das seguintes equações do 1º grau com uma incógnita. 63y + 75 = 327. Qual o valor de y=?
a)2
b)4
c)6
d)8

8) Determine a solução das seguintes equações do 1º grau com uma incógnita. 13x - 100 = 8x. Quanto vale x=?
a)18
b)19
c)20
d)21

9) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 (x + 1) - 8 (x - 2)= 30 . Quanto vale x=?
a)1
b)2
c)4
d)8

10) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 + 9y = 100. Quanto vale y=?
a)9
b)10
c)11
d)12

Answers

Answer:

Huh?

Step-by-step explanation:

For membership to an athletic club, it costs $110 to join and $25 per month of membership. Write an equation to show the situation

Answers

Answer:

110 + 25x = Total Cost (or any type of variable needed, like a,b,c, etc.)

Step-by-step explanation:

Since the monthly fee occurs more than once, and we don't have the number of months, we put an x to represent the amount of months. The $110 is the one time additional fee for the membership, so it doesn't need a variable.

What is HCF of 5a and 15a
Please help me I don’t understand

Answers

Answer:

5a.

Step-by-step explanation:

The HCF is short for Highest Common Factor.

Write the 2 expressions in factor form:

5a = 5 * a

15a = 5 * 3 + a

Note that 5 and a are common to both sets of factors, so the HCF = 5a.

Does this graph represent a proportional relationship between days and inches?
Explain your reasoning

Answers

the graph is proportional because it’s a straight line going up. there are no curves in the line or open spots. the line also passes through the origin (0,0 intersection)

Can someone help I have a second chance

Answers

Answer:

rewrite equation 2 for x

x=8-7y

plug in x for equation 1

3/8*(8-7y)+1/3y=17/24

solve for y

3-17/24=21/8y-1/3y

55/24 = 55/24y

y=1

sub y back into eq. 2

x+7(1) = 8

x = 1

Step-by-step explanation:

Expand and smiplify(3m + 3)²

Answers

Answer:
9m^2 + 18m+ 9

select all of the equations equivalent to 7x/3 = 14

A: 5x - 23 = 7
B: x - 4 = 2
C: 2x = 14
D: x - 4 = 0

Answers

Answer:

A and B

Step-by-step explanation:

I found the number that makes the 7x/3=14 statement correct that number is. Then I plugged 6 into the other equations

these were the correct ones

5•6-23=7

6-4=2

these are the wrong ones

2•6=14

6-4=0

Perform the indicated operation.
1 ⅔ + 5 ⅜​

Answers

Answer:

169/24 or 7 1/24

Step-by-step explanation:

Real quick question. need help plz

Answers

Add them all up and subtract it from 360

All figures with 4 sides have a total of 360 inside it.

NEED HELP ASAP WILL GIVE BRAINLIEST AND 15 POINTS
1/3x + 3 - 5/6x = -15

Answers

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]

[tex]\bold{\frac{1}{3}m+-\frac{5}{6}m=-\frac{1}{2}m }[/tex][tex]\bold{You~could~also~solve~this~by~turning~the~fractions~into~decimals.}[/tex]

[tex]2.)~Subtract~3~from~both~sides:[/tex]

[tex]\bold{3-3=Cancels~Out}[/tex][tex]\bold{-15-3=-18}[/tex][tex]\bold{We~do~the~opposite~of~what~we~see:+3,~meaning~we~subtract.}[/tex]

[tex]3.)~Multiply~both~sides~by -2:[/tex]

[tex]\bold{-\frac{1}{2}m}[/tex] × [tex]\bold{-2=Cancels~Out}[/tex][tex]\bold{-18}[/tex] × [tex]\bold{-2=36}[/tex][tex]\bold{The-2~is~from-\frac{1}{2}m.~Since~it's~dividing~we~do~the~opposite~and~multiply~by~-2.}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{m=38}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

A line passes through the points (−4,−9)
and (−2,−6) What is the equation of the line in Slope-Intercept Form?

Answers

Answer:

D. [tex] y - 5= 3(x - 1) [/tex]

B. [tex] y = \frac{3}{2}x - 3 [/tex]

Step-by-step explanation:

Problem 1:

Point-slope form equation is given as [tex] y - y_1 = m(x - x_1) [/tex], where, (x1, y1) is a point on the line, and m = slope.

Find the slope of the line of the graph given, using 2 points on the line, points (0, 2) and (1, 5).

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{0 - 1} = \frac{-3}{-1} = 3 [/tex]

Substitute (x1, y1) = (1, 5) and m = 3 into [tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - 5= 3(x - 1) [/tex]

The answer is D.

Problem 2:

Slope-intercept equation takes the form: [tex] y = mx + b [/tex], where, m = slope, and b = y-intercept.

Find m and b.

Given, points (−4,−9) and (−2,−6),

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 -(-9)}{-2 -(-4)} = \frac{3}{2} = \frac{3}{2} [/tex]

Substitute x = -2, y = -6, and m = ³/2 into [tex] y = mx + b [/tex], to find b:

[tex] -6 = \frac{3}{2}(-2) + b [/tex],

Subtract b from both sides

[tex] -6 = -3 + b [/tex]

Add 3 to both sides

[tex] -6 + 3 = b [/tex]

[tex] -3 = b [/tex]

[tex] b = -3 [/tex]

Substitute m = ³/2, b = -3 into [tex] y = mx + b [/tex]

[tex] y = \frac{3}{2}x + (-3) [/tex]

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

The answer is B.

Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)

Answers

Answer:

The area of the polygon CDEFGH is 7

Step-by-step explanation:

Area of a Polygon

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

[tex]A1=L^2[/tex]

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

[tex]\displaystyle A2=\frac{b1+b2}{2}h[/tex]

Calculate both areas:

[tex]A1=2^2=4[/tex]

[tex]\displaystyle A2=\frac{2+4}{2}\cdot 1=3[/tex]

Total Area=4+3=7

The area of the polygon CDEFGH is 7

Use the inequality below to answer this question.
30 + 5(m – 20) ≤ 120
What values of m make this inequality true?

A
m ≥ 25

B
m ≤ 25

C
m ≥ 38

D
m ≤ 38

Answers

Answer:D

Step-by-step explanation:

Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.

(0, 10)

(3, 2.5)

(-2, 15)

(2, 5)

Answers

Step-by-step explanation:

so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.

10(0)+4(10)=40

Answer:

(0, 10)

Step-by-step explanation:

substitute the value of x,y given into the formula, that equates 40.

10x + 4y = 40

let x = 0, y = 10  ;         10(0)  + 4(10)   = 40    

let x = 3, y = 2.5 ;         10(3)  + 4(2.5) ≠ 40     x

let x = -2, y = 15  ;         10(-2) + 4(15)   ≠ 40    x

let x = 2, y = 5     ;        10(2)   + 4(5)    ≠ 40    x

therefore, (0, 10) is the right answer

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