Answer:
x = 6 aka A is the correct answer supposedly
The value of x for the given expression is x = -6. The correct options are A and B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given expression is √( -3x - 2 ) = x + 2.
The expression will be solved as,
√( -3x - 2 ) = x + 2.
Squaring on both sides,
-3x - 2 = ( x + 2 )²
-3x - 2 = x² + 4x + 4
x² + 7x + 6 = 0
Solve the above quadratic equation,
x² + 7x + 6 = 0
x² + 6x + x + 6 = 0
x ( x + 6 ) + 1 ( x + 6 ) = 0
( x + 6 ) ( x + 1 ) = 0
The solution of the expression is x = -6, and x = -1.
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Will give brainliest
Sarah got £72 for her birthday. She spent 40% of the money on
clothes and 1/6 of the remaining money on makeup. How much did she
have left over?
Solution: She has £36 remaining.
To solve this is fairly simple. First we multiple 72 by .4 to get 40%. This gives us 28.8.
We then subtract 28.8 by 72 to get the money she has remaining after she spends 40%. The answer to this is 43.2
Then she spends 1/6 on makeup. So we divide 43.2 by 6 and multiply again by 5, which gives us 36.
The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.
Answer:
The number could be [tex]-7.5[/tex] or [tex]8[/tex].
Step-by-step explanation:
I'm going to assume this means "The square of a number is 60 greater than half of the number." Let the number be [tex]x[/tex]. The square of [tex]x[/tex] will be [tex]x^{2}[/tex]. "is" denotes that we use the "[tex]=[/tex]" sign, so our equation so far is [tex]x^{2} =[/tex] . Half of [tex]x[/tex] is [tex]\frac{1}{2}x[/tex], and "greater than" implies addition, so [tex]60[/tex] greater than [tex]\frac{1}{2}x[/tex] is [tex]\frac{1}{2}x+60[/tex]. Therefore, the equation is [tex]x^{2} =\frac{1}{2}x+60[/tex].
Solving for [tex]x[/tex], we get:
[tex]x^{2} =\frac{1}{2}x+60[/tex]
[tex]2x^{2} =x+120[/tex] (Multiply both sides of the equation by [tex]2[/tex] to get rid of the fraction)
[tex]2x^{2} -x-120=0[/tex] (Subtract [tex]x+120[/tex] from both sides of the equation to make it easier to solve)
[tex]2x^{2} +15x-16x-120=0[/tex] (Split [tex]-x[/tex] into [tex]15x-16x[/tex] to make the LHS easier to factor)
[tex]x(2x+15)-8(2x+15)=0[/tex] (Take a common factor out of the first two terms and the last two terms)
[tex](2x+15)(x-8)=0[/tex] (Take another common factor out)
[tex]2x+15=0,x-8=0[/tex] (Zero Product Property)
[tex]x=-7.5,8[/tex] (Solve)
Hope this helps!
Which expression represents the product of b and 34?
A. 34(b - 34)
B. 34+b
C. 34/b
D. 34b
What is the correct answer?
Answer:
C. [tex]\sqrt{3x^2+21x}[/tex]
Step-by-step explanation:
When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.
[tex]\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}[/tex]
Cooper invested $1,100 in an account paying an interest rate of 3.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 10 years?
Answer:
Step-by-step explanation:
Answer: 1608.48
Step-by-step explanation:
Express 2 x 2 x 2 x 2 x 2 in index notation.
Given:
The expression is
[tex]2\times 2\times 2\times 2\times 2[/tex]
To find:
The index notation of the given expression.
Solution:
Index: The power of a number and a variable is called its index.
Index notation: The expression which has a base and a power.
In the given expression 2 is multiplied 5 times, so by using the property of exponent we get
[tex]2\times 2\times 2\times 2\times 2=2^{1+1+1+1+1}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]2\times 2\times 2\times 2\times 2=2^{5}[/tex]
Therefore, the index notation of the given expression is [tex]2^5[/tex].
100% of what number is 27? Provide an exact fraction answer
Answer:
Your answer is 27
I hope I helped, would appreciate brainliest! ;)
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
27% = 27 'out of one hundred',
p% is read p 'percent',
27% = 27/100 = 27 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 100 by 27%
27% of 100 is equivalent to multiplying them:
27% × 100 = ?
27% × 100 =
(27 ÷ 100) × 100 =
(27 × 100) ÷ 100 =
2,700 ÷ 100 =
27
Proof.
How do we check the result?
If 27% × 100 = 27 =>
Divide 27 by 100...
... And see if we get as a result: 27%
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
Calculate the percent value:
27 ÷ 100 =
0.27 =
0.27 × 100/100 =
(0.27 × 100)/100 =
27/100 =
27%
So we have proved that the calculations are correct.
Answer:
Percentage of
27% of 100 = 27
Answer:
27%
Convert fraction (ratio) 27 / 100 Answer: 27%
Find the value of 3y + 4 given that - 2y + 6 = 2.
Simplify your answer as much as possible.
Answer:
10
Step-by-step explanation:
to find the answer for 3y + 4 we have to find the value of y.
we can find that by using the second equation.
-2y+6=2
-2y+6-2 =0 (subtract 2 from both the sided)
4= 2y (we will bring the -2y to the other side of the equation and then subtract the 6-2 to get the 4)
4/2=y (divide by 2 on both the sides)
∴ y=2
now we will plug in the y of value that we see as -2 into the first equation.
∴ 3y+4 will become
= 3(2)+4
=6+4
=10
hope this helps!!
what is the answer I don't know how to solve this
Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers.
Answer:
(b) Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5
(c) -1.0 < [tex]-\frac{1}{4}[/tex] < 0 < 0.5 < 1.5
OR
1.5 > 0.5 > 0 > [tex]-\frac{1}{4}[/tex] > -1.0
Step-by-step explanation:
P.S - The exact question is -
Given - Kendra collected data for her science project. She surveyed
people asking them how many hours they sleep during a
typical night.
The chart below shows how each person’s response compares
to 8 hours (which is the answer she expected most people to say).
Name Number of Hours Compared to Hours
(usually slept each night)
Frankie 8.5 0.5
Mr. Fields 7 −1.0
Karla 9.5 1.5
Louis 8 0
Tiffany [tex]7\frac{3}{4}[/tex] [tex]-\frac{1}{4}[/tex]
To find - (a) Plot and label each of the numbers in the right-most column
of the table above on the number line below.
(b) List the numbers from least to greatest.
(c) Using your answer from part (b) and inequality symbols,
write one statement that shows the relationship among all
of the numbers.
Proof -
(a)
We can see that the numbers in the right-most column are 0.5, -1.0, 1.5, 0, [tex]-\frac{1}{4}[/tex]
We can write [tex]-\frac{1}{4}[/tex] = -0.25
Now,
We have to label them in the number line
The number line is as follows :
(b)
Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5
(c)
By using inequality symbol, we get
-1.0 < [tex]-\frac{1}{4}[/tex] < 0 < 0.5 < 1.5
OR
1.5 > 0.5 > 0 > [tex]-\frac{1}{4}[/tex] > -1.0
please help! it’s due in 3 hours and i really need the answers!
*ignore the top one
Answer: Third option
Step-by-step explanation: Hope this helps :)
Answer:
C.
Step-by-step explanation:
14/3 = 4.66
/2/=2.33
-14/4 = -3.5
So the numbers are 4.66, 4.3, 2.33, 1.3, -2 and -3.5
So the numbers are -14/4, -2, 1.3,/2/, 4.3, 14/3
I hope I helped! Pls leave a rating and a heart if I did!
Which Quadrilateral might have sides measuring 3” 5” 8” and 6”?
Answer: a parallelogram
Janelle spots some dolphins in the ocean. Her father draws a diagram to show how far down they can go. How far is this relative to sea level? What would an altimeter read at this depth?
The diagram is missing, so i have attached it.
Answer:
-1000 ft
Step-by-step explanation:
From the diagram attached, we see that they went 1000 ft below the sea level.
Now an altimeter is used to measure altitude depth of an object relative to a fixed level which in this case the fixed level is the top of sea. Since the depth in this case is below sea level, it will be negative.
Thus,the altimeter will read -1000 ft
Answer:
The dolphins are shown 1,000 feet below sea level. The altimeter reading would be -1,000 feet.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
(LOOK AT PHOTO)
Answer:
Five less than the number than....... 8/n - 5 +7
Eight more than the product........ 8 +7n - 2
Five times the sum..... 5(n+7)
Twice the difference.... 2 (8-n)
Answer:
Blue:
[tex] \frac{8}{n} - 5 + 7[/tex]
Green:
[tex]8 + 7n - 2[/tex]
Orange:
[tex]5(n + 7)[/tex]
Purple:
[tex]2(8 - n)[/tex]
Which number line shows the solution to the inequality n + 6 < 4?
Answer:
D) The very last one
Step-by-step explanation:
n + 6 < 4
n < -2
< means it's an open circle and goes in the LEFT direction
If ∠1 and ∠2 are vertical angles and m∠1 = 128°, find m∠2.
In respοnse tο the questiοn, we may say that As a result, the measure οf angle 2 is 128°.
what are angles?An angle is a fοrm in Euclidean geοmetry that is made up οf twο rays that meet at a pοint in the centre knοwn as the angle's vertex. Twο rays may cοmbine tο fοrm an angle in the plane where they are situated. An angle is generated by twο planes clash. They are referred tο as dihedral angles. An angle in plane geοmetry is a pοtential cοnfiguratiοn οf twο radiatiοns οr lines that represent a terminatiοn. The wοrd "angle" cοmes frοm the Latin wοrd "angulus," which meaning "hοrn." The vertex is the place where the twο rays, alsο knοwn as the angle's sides, meet.
Vertical angles are generated by twο crοssing lines that fοrm pairs οf οppοsing angles. Vertical angles are cοngruent, which means they have the same dimensiοn.
Because 1 and 2 are vertical angles, they have the same length.
Knowing that m1 = 128°, we may deduce that m2 = 128°, as they are both vertical angles.
As a result, the measure of 2 is 128°.
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In the given figure, If ∠1 and ∠2 are vertical angles and m∠1 = 128°, find m∠2.
What is the X intercept of the quadratic function.
Answer:
1 and 3
Step-by-step explanation:
it is where the graph meets the x axis line
what is 1000tan+546-(645-1)
I WILL REPORT U IF U AREN'T SYDNEETEAL
answer:
538.89576473...
next time you have a math question use ma th way or ma th papa it'll save you points
Please give me the correct answer.Only answer if you're very good at math.Please don't use a link to a website.
Answer:
6 is the answer for your box :) Double checked :)
Step-by-step explanation:
25.12 = 1/3(12.56h)
multiply both sides by 3 to get rid of the fraction
75.36 = 12.56h
divide both sides by 12.56
6 = h
h = 6
Answer:
h = 6
Step-by-step explanation:
25.12=12.56/3 h
25.12 x (3/12.56) = h
h = 6
An increase of 42.5% would result in a multiplier of what?
and a decrease of 42.5% would result in a multiplier of what?
Answer:
is the 23% going into the 42.5
Choose the best estimate for the length of a piece of notebook paper.
A. 2 in.
B. 5 in.
C. 11 in.
D. 17 in.
Answer:
11 in
Step-by-step explanation:
Standard paper is 11 x 8 inches
Someone help pleaseeeeee I will report if ur wrong k ;))
Answer:
15
Step-by-step explanation:
[tex]\frac{6-3}{0.4-0.2}[/tex] -> [tex]\frac{3}{0.2}[/tex] ->15
0.034 yards to 60 feet as a fraction
Answer:
17/10000
Step-by-step explanation:
not completely sure
The fraction is 17/10000.
What is fraction?A fraction is shown as a numerical value that describes a portion of a larger whole. A fraction can be a portion or section of any quantity taken from a total, where the total can be any number, a particular value, or an object.
Given ratio 0.034 yards to 60 feet
and to convert it in simplest form
we know 1 yard = 3 feet
and 0.034 yard can be written as 34/1000
so 34 yards = 3 x 34 feet
34 yards = 102 feet
34/1000 yards = 102/1000 feet = 51/500 feet
and ratio = 0.034 yards/60 feet = (51/500)/60
= 51/30000
17/10000
Hence the ration in fraction is 17/10000.
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The Complete Question is; Express each ratio as a fraction in its simplest form: 0.034 yards to 60 feet
If the area of the rectangle is 90 km2, then what is the value of the missing side?
Answer:
logically the missing side is 10 km because 90 km² ÷ 9km = 10km
HELP PLEASE important
Answer:
The answer seems like it is A.
Step-by-step explanation:
Remeber the domain is all real numbers. Hope this helps.
solve for the slope / y-intercept and the equation
Answer:
Slope = -3, Y-intercept = -2, y = -3x -2
Step-by-step explanation:
There are multiple points plotted on the graph, but right now, we only need to focus on two.
(-2, 4) (-1, 1)
Using the ordered pairs, do delta y/ delta x to get the slope
(1-4)/(-1-(-2)
(-3)/(-1+2)
(-3)/(1)
Slope = -3
y = -3x + b
As shown on the graph, the y-intercept is -2. It is when x = 0
So, for the equation, substitute the found values.
y = -3x -2
A rectangle has a perimeter of 26 inches. All of its side lengths are doubled to create a new rectangle.
a. How does the perimeter of the new rectangle compare to the perimeter of the original rectangle?
b. How does the area of the new rectangle compare to the area of the original rectangle?
Answer:
a) the new perimeter is 2 times the old perimeter
b) the new area is 4 times the old area
Step-by-step explanation:
b) the doubling of the length and width affects the area formula like this:
old triangle area formula = 1/2bh
new triangle area formula = 1/2(2b)(2h), you see the 2 x 2 causes the area to be 4 fold
Angle A is the complement of angle B. If tan A = 4/5, tanB = _____.
Answer:
5/4
Step-by-step explanation:
An artist buys 36 tubes of oil paint, 6 paintbrushes, 3 canvases, and 2 jars of paint thinner. What is the ratio of paintbrushes to tubes of oil paint?