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Help ASAP!!! Please show all work!!!!!!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
[tex]\sqrt{x+7} -1=x\\[/tex]
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Answer:
x = 2 and x = -3
Step-by-step explanation:
We need to find the value of x in the below expression.
[tex]\sqrt{x+7} -1=x[/tex]
Adding 1 to both sides,
[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]
Squaring both sides,
[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]
Hence, this is the required solution.
[tex]\bf\huge x=2 [/tex]
Step-by-step explanation:
Given that :[tex]\sqrt{x+7} -1=x\\[/tex]to find :[tex]\sqrt{x+7} -1=x\\[/tex]explanation :⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.Therefore,
⟼ x = 2.
verification :⟼ let take x = 2
⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
hence verified ☑️Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
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Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
To learn more about algebra click here ;
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A bag contains 12 marbles: 3 red, 4 green, and 5 blue.
Suppose you draw two marbles from the bag, one at a time, without replacement.
What is the probability that the first marble is blue and the second marble is green?
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Answer:
The probability is that the first marble is blue is 5/12 and the probability that the second marble is green is 4/11
Step-by-step explanation:
I need help please help
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Answer:
B (340)
Step-by-step explanation:
What is the area of the rectangle below?
9 feet
7 feet
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Answer:
63 feet ^2
Step-by-step explanation:
Well assuming your presented with length and width.
9*7=63
HELP TIMED IS THIS RIGHT?
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Answer:16 is the answer of your question
hope it is helpful to you
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
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Answer:
A corresponds to angle E
People enjoyed attending the concert in the park.
Twice as many men as women attended the concert.
If the total attendance was 714, how
many women
attended the concert?
Answers
Answer:
w = 238
Step-by-step explanation:
So create a system of equations if the number of m = 2w where the men's number is twice the women's number. and m + w = 714 so substitute 2w for m
2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238
Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total
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Answer:
76
Step-by-step explanation:
36+40=76
Hope this helps!!
Answer:
76 games in total
Step-by-step explanation:
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
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Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
write the ratio 1 to 8 as a fraction, decimal, percent pls help meee
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Answer:
frac.: 1/8
dec.: 0.125
pct.: 12.5%
The given numbers in ratio as 1:8, in fractions as 1/8 and in percentage as 12.5%.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, 1 to 8.
The given numbers in ratio
1:8
In fraction
1/8
In percentage
1/8 ×100
=12.5%
Therefore, the given numbers in ratio as 1:8.
To learn more about the fraction visit:
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What number should be added to both sides of the equation to complete the square? x-^2+8x=4
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Answer:
2.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141
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Answer:
1. 2=x+41
‐x=41‐2
x=‐39
2. 2=4+7×
‐7×=4‐2
7×=2
3. 2=10×+8
‐10×=8‐2
‐5×=3
5×=‐3
4.2=×+141
‐x+2=141
‐x=139
Find the missing side x=
Please help ASAP I will mark brainlist.
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Answer:
Step-by-step explanation:
Cierra is keeping track of the amount of money in her lunch account each week. She writes the equation A= -6w + 40. What do the numbers and variables represent.
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Answer:
A represents the amount of money in the account. W represents the amount of weeks. -6 represents the change in her balance every week. 40 represents the amount of lunch money she starts with.
Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?
Answers
Answer:
12
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION
(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)
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Find the measure of the missing angles.
b
100°
0
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Step-by-step explanation:
Angle b + 100 = 180 (angles on the same straight line)
[tex]b + 100 = 180 \\ b = 180 - 100 \\ = 80[/tex]
Angle c = Angle b (Vertically opposite angles)
= 80 deg
A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?
Answers
Answer:
7 Ways
Step-by-step explanation:
Have a Nice Day!
Answer:
64 ways
Step-by-step explanation:
Basic possibility table/using math, and calculating
if 400g is 1kg find the ratio in the simplest form
Answers
Answer:
2 : 5
Step-by-step explanation:
The quantities must have the same units of measure
400 g : 1 Kg
= 400 g : 1000 g ← divide both parts by 200
= 2 : 5
Solve this inequality. 8x + 6 < 54
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Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 6
Interval Notation:
( − ∞ , 6 )
Answer:
Inequality:8x+6<54
Do minus 6 on each side:8x<54
Now do divided by 8 on each side:x=6.75
Step-by-step explanation:
Simplify: (x2+6x+8) + (-4x2+11x-9)
Answers
Answer:
-3x^2+17x-1
Step-by-step explanation:
I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?
Answers
whyu
Step-by-step explanation:
.whyww
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answers
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8
How many liters are there in 6 gallons?
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Answer:
6 gallons = 3.785 liters
Answer:
1.5850323141
Step-by-step explanation:
What is 10×25 to the sixth power
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Answer:
2.4414063e+14 (wow such a large number)
Step-by-step explanation:
10x25= 250
250 to the 6th power = 2.4414063e+14
Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
Answers
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
→ Divide the gallon by the number of glasses
[tex]\frac{1}{10}[/tex]
Alice has 5 quarters and 2 nickels. How many cents does Alice have
Answers
Answer:
Alice has 135 cents, or $1.35.
Step-by-step explanation:
A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!Find the slope of the line -2x - 5y = 10
Answers
Answer:
-2/5
Step-by-step explanation:
To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.
=================================================================
Add 2x to both sides. [Addition Property of Equality]
-2x - 5y = 10
+2x +2x
-------------------
-5y = 2x - 10
Divide -5 on both sides. [Division Property of Equality]
-5y/-5 = 2x/-5 - 10/-5
y = -2/5 x + 2
Comparing to y = mx + b form, we see that our m value, or slope is -2/5
--------------------------------------------------------------------------------------------------------------
m= -2/5
=================================================================
Hope I Helped, have a fantastic day!
-Aadi x
Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
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23 - (-14) = 23 + 14 = 37
128 - (-105) = 128 + 105 = 233