3
Step-by-step explanation:[tex] \sf \sqrt{x + 3 = 12} [/tex]
[tex] \sf = \sqrt{x = 12 - 3} [/tex]
[tex] \sf = \sqrt{x = 9} [/tex]
[tex] \sf = \sqrt{9} [/tex]
[tex] \sf = \sqrt{3 \times 3} [/tex]
= 3
The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex] for the variable, x is 141.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable
The solution of the equation can be calculated as:
[tex]\sqrt{x+3} = 12[/tex]
Squaring both side,
[tex]x+3 = (12)^2[/tex]
x+3 = 144
Subtract 3 from both the sides,
x = 141
The solution of the linear equation for the variable x is 141.
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A tree is currently
2
feet tall and grows
1.3
feet per year. Which inequality represents the time, in
x
years, when the tree will have a height of at least
20
feet?
The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14
Current height = 2 Growth rate = 1.3 feets per yearThe height of the tree after x years can be represented as a linear equation thus :
Height = 2 + 1.3xNumber of years when the tree will be 20 feets tall :
20 = 2 + 1.3x 20 - 2 = 1.3x 1.3x = 18x = 13.84The tree would be atleast 20 feets tall in 14 years x this can be expressed thus
x ≥14Learn more : https://brainly.com/question/18109354
Please helppppppp :,(
Answer:
D
Step-by-step explanation:
Please mark brainliest
(secA - cosecA)^3+ 3secA.cosecA (secA - cosecA )
bru
Answer: what?
??????..???
I couldn’t type it so I just took a picture. Please help me!! I’ll give you 25 points!
Answer:
It would be D.
Step-by-step explanation:
You have to collect like terms which would involve the 5[tex]\sqrt{7}[/tex] and -10[tex]\sqrt{7}[/tex] and do the same for the other 2
what is the domain and range of y=4x+4
Answer:
all real numbers
Step-by-step explanation:
domain is all the possible numbers for x
here x can be any real number
range is all the possible numbers for y
here y can also be any real number based on y
so for both domain and range the answer is all real numbers
My backyard has a square garden and the area of the garden is 57 square feet. Are the lengths of each side of the garden rational? Why/Why Not?
please help!! i will give a thanks and brainliest !
Answer:
19. is 18
31. is 10y-x
Step-by-step explanation:
thats only what i know sorry
1. What is the solution to the equation 3(x - 2)= 15?
Answer:
X=7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
3x-6=15
3x-6+6=15+6
3x=15+6
3x = 21
---- ----
3 3
x=7
two speedboats leave the dock at the same time and travel in opposite directions. one travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat travelling ?
Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2
(=)17 0x +170x+1530=2x²+18x
(=)-2 x² +322x+1530=0
Δ=b²-4ac
Δ=115924
[tex]\sqrt{}[/tex]Δ=340,476>0
because Δ>0 so that 2 X
=>x₁=2 (true), x₂=-161(false)
X+9= 2+9=11
first travel 2 mi/hr
second travel 11 mi/hr
Step-by-step explanation:
Selena has been hired as a sales associate at Better Rooms furniture store. She has two salary options. She can choose to receive either a fixed salary of $850 per week or a salary of $400 per week plus a 6% commission of her weekly sales. Which solution set below represents the dollar amount of sales that she must generate each week in order for the option with commission to be the better choice? Let s represent the sales for the week
Answer:
Sales have to be more than $7,500.
Step-by-step explanation:
850 > 400 + 0.06s
850 - 400 < 0.06s
450/0.06 < s
7500 < s
15^6*8^8(9)^8 what is it
Answer:
8.2263565e+21
Step-by-step explanation:
im smart
if eight was subtracted from the product of a number and five, the result is four more than the number. write an equation and solve to find the number
Answer:
3
Step-by-step explanation:
Let the number be x
5*x=5x
5x-8= 4 + x
4x =12
x= 3
y=4x-36
find the zero of each function by graphing
Answer: X = 9
Step-by-step explanation:
First insert the function into a graphing calculator.
We are trying to find the x intercepts, we substitute y=0.
With a graphing calculator look at where the line intercepts the x axis, (9,0) , and we find that x=9.
Marsha has $400 in a savings account. The interest rate is 5% per year and is not compounded. How much will she have in total in 1 year?
The total amount in the account after 1 year will be $420
Based on the information given, the following can be deduced:
Principal = $400
Interest rate = 5%
Time = 1 year
Therefore, the simple Interest will be:
= PRT/100
= ($400 × 5 × 1)/100
= $2000/100
= $20
Therefore, the amount will then be:
= Principal + Interest
= $400 + $20
= $420
Therefore, the total amount is $420
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45 is what percent of 60 as an equation
Answer:
75% of 60 = 45
Step-by-step explanation:
In order to find the answer to this question you need to divide the percentage of the number by one-hundred and then divide that number by the number the number you are trying to find the percentage of.
60/x=100/75
(60/x)*x=(100/75)*x
60=1.33333333333*x
(1.33333333333) to get x
60/1.33333333333=x
45=x
x=45
75% of 60 = 45
Hope this helps.
7 (-2) - 15 =
Find the value of the expression.
Answer:
-29?
Step-by-step explanation:
state the gradient and the y-axis intercept of
y=3x+7
Step-by-step explanation:
the slope (or gradient) of a line is the factor of x.
in our case here : 3
it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.
so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).
the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.
so, here
y = 3×0 + 7 = 7
=>
the y-axis intercept point is (0, 7).
Solve for X
A) -6
C) 12
E) 9
B) 8
D) 3
Answer:
In my thinking the answer is 9.
-2.4 - 4.9=
It’s not 2.5
Answer:
-7.3
Step-by-step explanation:
You can't subtract a negative number. Enjoy and brainliest would make my day :D
Answer:
-7.3
Step by step explanation:
−2.4−4.9
=−2.4−4.9
=−2.4+−4.9
=−7.3
PLEASE HELP ME!! I DON'T KNOW WHAT TO DO????
Answer:
Step-by-step explanation:
x-10=4
bring the 10 over and add it to the 4 and that equals 14 so
x=14 hope this helps have a great day
The length of a rectangle is 5 in longer than its width.
If the perimeter of the rectangle is 74 in, find its length and width.
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
A car rental agency charges $70 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.40 per
Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $212.
Answer:
212=70+(m X 0.40)
If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Cost of car rent per day for 100 miles = $70
Additional cost per mile = $0.40
Let m = number of miles driven
Total cost for one day rental = $212
The equation that represents the additional m = miles driven for a day that cost $212 is:
212 - 70 = 0.40m
142 = 0.40m
m = 142 / 0.40
m = 355
This means 355 additional miles were driven.
The number of miles driven for the day is:
= 100 + 355
= 455 miles
Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.
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Select the choice that translates the following verbal phrase correctly to algebra:
the product of k and m
km
k + m
k − m
k ÷ m
Answer:
km that is k×m means k is multiplied by m
The table below shows Amelia's earnings on the job.
Time (hours) Earnings (dollars)
4
$108.80
9
$244.80
17
$462.40
How long does it take her to make $414.80?
Answer:
15.25 hours
Step-by-step explanation:
her pay per hour is $27.2
414.80÷27.2=15.25
triangle abc is dilated with a scale factor of 1/3 label the angle measurements in triangle abc
Answer:
B=1 and the rest Im unsure of sorry hope this helps
Step-by-step explanation:
Solve for x -29+11=3x - 6x ???
Answer:
the right answer is x = 9/2
Pls help !! I will like your comments and answer !!!!!
Answer:
A) Dilated 150% then reflected across the x-axis
Step-by-step explanation:
By counting the squares of shape A, you can see that 2 squares = 100% and 1 square = 50%. You can then count 2 squares into shape B (because that is your starting point) and then count the remaining squares, which is 3. 3 squares is equal to 150% so we know there is a 150% dilation.
We can then also see shape A has been reflected across the x-axis to give shape B.
Mario has 3750 paper clips. Chi has 2993 paper clips. How many more paper clips does
Mario have than Chi?
Answer: Mario has 757 more paper clips than Chi.
Step-by-step explanation:
Subtract 2,993 from 3,750. The answer is 757.
Which equation represents a line parallel to the line x-4y=-2
a: y=-4x - 2
b: y=-1/4 + 5
c: y= 1/4x - 3
d: y=4x - 8
Answer:
c
Step-by-step explanation:
the slope of x-4y=-2 is 1/4
graph the line that passes through the point (0, -3) and is perpendicular to another line whose slope is 2
Answer:
y = -1/2x -3
Step-by-step explanation:
The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:
y = mx + b
where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...
y = -1/2x -3