It is a difference of squares, so we can factor this to
[tex](x+2)(x-2)=0[/tex]
Then, we can solve for [tex]x[/tex].
[tex]x=-2,2[/tex]
Hope this helps.
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Sort the following objects by length. Place the shortest object at the top.
Answer:
Ok, here we have two points A and B.
The shorter object will be the second option, AB with a line on top, this is a segment, so the length of this object is equal to the distance between A and B.
The next one is AB with an arrow pointing to the right, this is ray, is a line that starts in A and passes through B, and continues infinitely.
The third will be the bottom option, AB with a double-arrow on top, this is the notation for a line that passes through A and B, and it extends to infinity in both directions.
what is the domain and range
Answer:
Domain: - 4
Range: 0
Step-by-step explanation:
The Domain is the first coordinate which is x.
The Range is the second coordinate which is y.
Hope This Helps :)
x = 0.6x + 384 what is x
Answer:
X=960
Step-by-step explanation:
x=0.6X +384
x-0.6X =384
0.4x=384
divide through by 0.4
X=960
Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the nearest whole inch)
1,424
32
38
20
Answer:
38 inches
Step-by-step explanation:
since we are finding the diagonal we are going to use the equation a^2+b^2=c^2
so if we do substitution we would have 32^2+20^2=C^2
32^2= 1024
20^2= 400
so,
1024 + 400 = C^2
1424 = C^2
to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,
C = sqrt(1424)
C = 37.73
C = 38 inches
what is -21.6 simplified?
Answer:
108/5
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
because -21.6 rounded to the next whole number is rounded to -22 because of the 6 in the number, which is larger than 5 so it passes to the next highest number.
The equivalent of 3/8 inch is _____ /64 inch.
Answer:
24/68 inches
Step-by-step explanation:
Multiply 3 times 8 to get 24. The denominator was multiplied by 8 so you have to do the same thing to the numerator.
Hope This Helps :)
The equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.
The given quantity is [tex]\frac{3}{8}[/tex] inch.
Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
Here, in equivalent given fraction denominator is 64.
Let the numerator be x.
Now, [tex]\frac{3}{8}[/tex] inch = [tex]\frac{x}{64}[/tex] inch
3×64=x×8
x=3×8
x=24
So, the numerator of the fraction is 24.
Hence, the equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.
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PLEASE HELP!
I don’t know how to do this:
Graph f(x) and f^-1(x) on the same coordinate plane below.
Answer:
is there a picture that goes with this?
Step-by-step explanation:
-|(-12) + 20 + (-5) + (-7)| = ?
Answer:
-4
Step-by-step explanation:
=> -|-12+20-5-7|
=> -|-4|
=> -4
Find the distance between (-3, 11) and (-6,4).Round to the nearest then the
Answer:
d =7.6
Step-by-step explanation:
[tex](-3,11) =(x_1,y_1)\\(-6,4)=(x_2,y_2)\\\\\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\=\sqrt{\left(-6-\left(-3\right)\right)^2+\left(4-11\right)^2}\\= \sqrt{(-6+3)^2+(4-11)^2}\\ \\d= \sqrt{(-3)^2+(-7)^2} \\\\d = \sqrt{9+49}\\ \\d = \sqrt{58}\\\\d = 7.61577\\\\d =7.6[/tex]
If Hannah weights 29 pounds and her medicine says dosage of child weight 10-15 mg/kg what is Hannah weight in kilograms? Round to the nearest hundredth
Answer:
13.16
Step-by-step explanation:
For office supplies you buy s boxes of staples, r reams of paper, and p boxes of ink pens. Staples cost $1.43 per box, paper costs $3.43 per ream, and ink pens cost $2.36 per box. Write a formula that expresses the cost C, in dollars, of all the office supplies as a function of s, r, and p.
Answer:
C= 1.37(s)+3.36(r)+2.46(p)
Step-by-step explanation:
what is x in the problem
x(2x-5)=12
Answer:
x€(4, -1.5)
Hope this answer is helpful...
Make me as brainliest...
If you could help me out, that would be great. I will give brainliest
Answer:
[tex]y-3=-2(x+2)[/tex]
Step-by-step explanation:
Point-slope form is [tex]y-y_1=m(x-x_1)[/tex]
m= slope, [tex]y_1=3, x_1=-2[/tex]
slope= [tex]\frac{rise}{run}=\frac{-2}{1} =-2[/tex]
[tex]y-3=-2(x-(-2))[/tex]
[tex]y-3=-2(x+2)[/tex]
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700-(5,000+500m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?
Answer:
5000
Step-by-step explanation:
Given the following :
Constructed expression used to express size of debt after m, months :
36,700 - (5000 + 500m)
Since it was stated that he his whole signing bonus was dedicated towards paying his debt, then this will be a constant figure or digit.
Then a fixed amount from his monthly pay is also dedicated towards offsetting the loan:
Thus the fixed amount will be the Coefficient of m, where m is the number of months.
Thus total amount paid after m months can be deduced from the expression to be :
(5000 + 500m); where
5000 constant fee is the signing bonus.
Answer:
5000
Step-by-step explanation:
Logan and Lily mix blue and red paint to make batches of purple paint as shown in the tables. 2 tables. The first table is a 2-column table with 4 rows titled Logan. Column 1 is labeled Blue with entries 3, 4, 5, 6. Column 2 is labeled Red with entries 9, 12, 15, 18. The second table is a 2-column table with 4 rows labeled Lily. Column 1 is labeled blue with entries 4, 6, 12, 14. Column 2 is labeled Red with entries 10, 15, 30, 35. Compare the ratios of blue paint to red paint. Which statement is true? Logan has a higher ratio than Lily. Lily has a higher ratio than Logan. Only some of Logan’s ratios are greater than Lily’s ratios. Logan and Lily’s ratios are equal.
Answer:
Lily has a higher ratio than Logan
Step-by-step explanation:
The True statement is Lily has a higher ratio than Logan
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Column 1 Column 2
3 9
4 12
5 15
6 18
Second table
Column 1 Column 2
4 10
6 15
12 30
14 35
The ratio from the first table is = 3/9 = 1:3 = 5/15
and, the ratio from the second table is = 4/10 = 2:5= 6/15
Hence, Lily has a higher ratio than Logan.
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simplify the expresssion 2x^2+8+3x^2+4x-10
Answer:
x= 0.348 OR X= -1.148
Step-by-step explanation:
Given that:
2x^2+8+3x^2+4x-10
The first step is to rearrange the parameters given, by doing so, we have:
= 2x^2 +3x^2 +4x -10+8
= 5x^2 +4x - 2
The above equation forms the basis of a quadratic equation;
So using quadratic formula
= (-b +/- (√b^2-4ac))/2a
= (-4 +/- (√4^2 -4*5*(-2))/2*5
= -4 +/- (√ 16 - (-40))/10
=( -4 +/- √ 56 ) / 10
=( -4 +√ 56 ) / 10 OR =( -4 - √ 56 ) / 10
= (-4 + 7.48)/10 OR (-4 -7.48)/10
= 3.48/10 OR -11.48/10
= 0.348 OR. -1.148
SO, x= 0.348 OR X= -1.148
A line passes through the point , 9,−2 and has a slope of 4/3. Write an equation in point-slope form for this line.
Answer:
y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{4}{3}[/tex] and (a, b) = (9, - 2) , thus
y - (- 2) = [tex]\frac{4}{3}[/tex] (x - 9) , that is
y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)
Answer:
y+2 = 4/3( x-9)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line
y - -2 = 4/3( x-9)
y+2 = 4/3( x-9)
I need y’all to do 11 plz it’s redoing work so don’t mind all the extra work it’s 6th grade math! I WILL MARK THE BRAINLIEST!!!
15 points!
Answer:
62.5%
Step-by-step explanation:
First, divide 5/8:
5/8 =0.625
Then, to make it a percentage, multiply it by 100:
0.625 x 100 = 62.5
Answer: 62.5 %
Convert the given amount to the given unit.
6.5 lb; ounces
6.5 lb =
ounces
Answer:
12.10on zas
Step-by-step explanation:
Esun as uma
Amir is laying stone for his new patio. The diagram of the patio is shown. How many
square feet of stone does Amir need to cover on his patio?
Answer: 108ft^2
Step-by-step explanation:
First, at the top we have two triangle rectangles.
The area of a triangle rectangle is equal to the product of their cathetus divided by two.
We know that one common cathetus for both triangles is 6ft.
And both share the bottom line that is 14ft long, so half of that corresponds to each triangle.
14ft/2 = 7ft
Then each triangle has a cathetus of 6ft and one of 7ft.
Then the area of each triangle rectangle at the top is:
6ft*7ft/2 = 21ft^2
And we have two of them, so the area for now is:
A1 = 21ft^2 + 21ft^2 = 42ft^2.
Now let's look at the bottom part, we can divide this into two triangle rectangles and one rectangle.
First, bottom side is 8ft, then the difference between this side and the 14ft one is:
14ft - 8ft = 6ft
(We calculate this because we are making a rectangle, then the bottom side length must be equal than the top one).
Then we have a surpass of 6ft, which we will divide into both triangle rectangles (3ft for each, this is one of the cathetus).
And we can see that the cathetus shown of this triangle rectangle is 6ft (this is also the other side of our rectangle)
Then we have two triangles with cathetus 6ft and 3 ft, the area is:
A = 6ft*3ft/2 = 9ft^2
And we have two of them, then A2 = 18ft^2.
And the rectangle is 8ft by 6ft, the area is:
A3 = 8ft*6ft = 48ft^2
Then if we add all the areas that we found, we have:
A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2
An airplane descends 300 feet every 6 seconds. By how many feet does the airplane descend in 1 second?
Answer- 50 feet
Step-by-step explanation:
1 times 6 equals 6
n times 6 equals 300
solve for n
The total cost of hiring a mechanic to fix your car is $154 for parts plus an additional $45 per hour for labor. How much would it cost if the mechanic worked for 3.5 hours to fix your car?
Answer:
311.5
Step-by-step explanation:
154 + 45(3) =289
45 / 2 = 22.5
289 + 22.5 = 311.5
Aiden is a spice trader. He charges $5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. The largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000 . P(w) models the price (in dollars) of 'w' kilograms of cumin seeds in Aiden's shop. Which number type is more appropriate for the domain of p ?
Integers/Real Numbers
A. 1≤w≤1000
B. 5≤w≤1000
C. 1≤w≤2000
Answer:
[tex]1 \leq\ w\leq\ 1000[/tex]
Step-by-step explanation:
Given
Charges: $5 for 1 kg
Charges: $2000 for 1000 kg
w represents kilograms
P(w) represents Price
Required
What's the domain of P
Start by representing P as a function of w
When
[tex]w = 1\ kg[/tex]
[tex]P(1) = \$5[/tex]
[tex]w = 1000\ kg[/tex]
[tex]P(1000) = \$2000[/tex]
The domain of P are the values of w and is represented as follows;
[tex]1 \leq\ w\leq\ 1000[/tex]
Hence;
Option A answers the question
The number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
Since Aiden charges $ 5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. and the largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000.
Since P(w) models the price in dollars of w kilograms of cumin seeds in Aiden's shop.
We see that P(1) = $ 5 and P(1000) = $ 2000.
So, $ 5 ≤ P(w) ≤ $ 2000 which is the range and the domain is
1 ≤ w ≤ 1000
And since w is a continuous variable, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
So, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
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Maria brought 17 packs of cola to a party, and each pack had 6 cans. Kira brought 9 cans of juice. How many cans did they bring in all?
Answer:
In total they brought 111 cans
Step-by-step explanation:
17*6=102
102+9=111
Maria:
No. of cans in a pack = 6
No.of cans in 17 pack = 6 * 17 = 102 cans
No. of cans bought by Heather = 9 cans
Total cans = 102 + 9 = 111 cans
jorge bought 3 shirts and 2 pairs of pants. each shirt cost $21.50 and each pair of pants cost $34.45. if he had $145 in his wallet, how much money will he have left after paying for his clothes?
Answer: he will have $11.60 left
(+8)-(+7)=(+8)+(+7)=(+8)+(-7) what the answer
Answer:
it wouldn't be equal
Step-by-step explanation:
Answer:
(+8)-(+7) = (+8)+(-7) = 1
Step-by-step explanation:
The given statement ...
(+8)-(+7)=(+8)+(+7)=(+8)+(-7)
is false. The middle sum is not equal to the other two.
__
In general, subtracting a number is the same as adding it opposite:
(+8)-(+7) = (+8)+(-7) = 1
Hi. Please i need help with this question.
Workings please.
Find the operation used in solving the question.
Thanks <3
Answer: multiply left and multiply right, then subtract them
Step-by-step explanation:
Sample Left: 6 x 3 - 4 x 3 = x
18 - 12 = x
6 = x
Sample: Middle 7 x 4 - 9 x 2 = x
28 - 18 = x
10 = x
Sample: Right 7 x 3 - 0 x 7 = x
21 - 0 = x
21 = x
Solve for x in the equation x2 + 2x + 1 = 17.
O x=-11 15
O x=-14 17
O x=-2+2V5
O x=-1:13
Answer:
x = sqrt(17) - 1 or x = -1 - sqrt(17)
Step-by-step explanation:
Solve for x:
x^2 + 2 x + 1 = 17
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 1)^2 = 17
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 1 = sqrt(17) or x + 1 = -sqrt(17)
Hint: | Look at the first equation: Solve for x.
Subtract 1 from both sides:
x = sqrt(17) - 1 or x + 1 = -sqrt(17)
Hint: | Look at the second equation: Solve for x.
Subtract 1 from both sides:
Answer: x = sqrt(17) - 1 or x = -1 - sqrt(17)
if a circle's circumference is 15 inches what is its radious? leave the symbol pi in your answer
Answer:
the radius is 2.38
Step-by-step explanation:
use the formula c=2pi r
Answer:
15/2π
Step-by-step explanation:
If the circumference is 15 inches, we can create an equation using the following formula:
Circumference of circle = 2 x π x radius
which is C = 2πr
Now, substituting our value of the circumference (15) into the equation, we get:
15 = 2πr
In order to find r, the radius, we must divide both sides by 2π, which makes r the subject. This cancels out the 2π on the right side, leaving us with:
15/2π = r
So the radius is 15/2π.
Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than Teegan's? First, estimate the difference mentally and explain your reasoning. Then find the actual difference.
Answer:
groottttt
Step-by-step explanation:
groottt