Answer:
A. 6
E. -4
Step-by-step explanation:
x² - 2x - 24 = 0
x - 6
x 4
(x - 6)(x + 4) = 0
Set each parenthesis equal to 0:
(x - 6) = 0
Isolate the variable, x. Add 6 to both sides;
x - 6 (+6) = 0 (+6)
x = 0 + 6
x = 6
(x + 4) = 0
Isolate the variable, x. Subtract 4 from both sides:
x + 4 (-4) = 0 (-4)
x = 0 - 4
x = -4
x = -4, 6 are your solutions, or A. & E.
~
Answer:
[tex] \boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 2x - 24 = 0 \\ \\ = > {x}^{2} - (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} - 6x + 4x - 24 = 0 \\ \\ = > x(x - 6) + 4(x - 6) = 0 \\ \\ = > (x - 6)(x + 4) = 0 \\ \\ = > x - 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x + 4 = 0 \\ \\ = > x = 6 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x = - 4[/tex]
Using the image below, identify the angles that are vertical angles, list the angles that are linear pairs, and then solve for , , and .
Answer:
Step-by-step explanation:
y and 76 are vertically opposite angles
x and z are vertically opposite angles
Linear pairs.
If sum of two adjacent angles are 180, then they are linear pair.
x & 76 are linear pairs
y & z are linear pairs
z & 76 are linear pairs
x and y are linear pairs
Solutions:
y = 76 { vertically opposite angles are equal}
x + 76 = 180 { linear pair}
x = 180 - 76
x = 104
z = x {Vertically opposite angles are equal}
z = 104
I need help on this.
Step-by-step explanation:
Russia is 0.35 20 Russia I said the answer is the answer is 0.35 CC 0.3522
Pedro paid $25 for some books. He then saw a week later that the books were on sale for $20. What was the percent of discount on the books?
Answer:
20%
Step-by-step explanation:
25x.20=5
25-5=20
what is the equation of a line that passes through the point (1,3) and is parallel to a line with a slope of -2?
Answer:
Step-by-step explanation:
y - 3 = -2(x - 1)
y - 3 = -2x + 2
y = -2x + 5
XYZ Music Store sells new CDs, n, for $12.25, and used CDs, u, for $5.75. The
store earned $765 revenue last month. The store sold 22 more used CDs than
new CDs. Which system of equations represents this scenario?
Answer:
B.
Step-by-step explanation:
12.25 for n CD's
5.75 for u CD's
the total is 765
22 are more sold for more used than new
Answer: B) 12.23n + 5.75u = 765: u = n + 22
Step-by-step explanation: took the quiz.
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning an even number and flipping heads is
Answer:
50%
Step-by-step explanation:
since talks is one side and heads is one side both together equal 100% so half aka heads would be 50%
The areas of the squares formed by the side lengths of the triangles are given for each triangle below. Which triangles are right triangles? Check all that apply. (Figures are not drawn to scale.)
3 squares form a triangle. The squares have areas 6 inches squared, 10 inches squared, 8 inches squared.
4 squares form a triangle. The squares have areas 9 inches squared, 25 inches squared, 16 inches squared.
5 squares form a triangle. The squares have areas 25 inches squared, 169 inches squared, 144 inches squared.
6 squares form a triangle. The squares have areas 7 inches squared, 25 inches squared, 24 inches squared.
7 squares form a triangle. The squares have areas 64 inches squared, 225 inches squared, 289 inches squared.
8 squares form a triangle. The squares have areas 10 inches squared, 26 inches squared, 24 inches squared.
Answer:
Well, Your best choice will be is B, and D.
Step-by-step explanation:
Because, Choice B.
9 + 16 = 25
. So, Choice B is the right answer.
Then, Choice D.
64 + 255 = 289. So, Choice D. is the right answer.
Good Luck!~
[tex]^{Brazts[/tex]
Answer:
b and d
Step-by-step explanation:
edinuity
2) Jose recently saw an ad online for a new version of his tablet. The projected price is $450, and the phone will be out on the market in about one year. Jose wants to purchase a new phone but is wondering if he should wait a year. With a 2.75% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw online?
A.) $437.63
B.) $462.38
C.) $455.25
D.) $425.36
Answer:437.63
Step-by-step explanation:
Answer:
437.96
Step-by-step explanation:
:)
Apply the 30-60-90 triangle theorem to find the length of the longer leg of a triangle of the length of the shorter leg is 4 inches.
3square root 4
7 inches
4 square root 2
8 square root 3
Answer:
4sqrt(3) inches
Step-by-step explanation:
The ratio of the lengths of the legs of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The long leg is sqrt(3) times the length of the short leg.
Here, the short leg measures 4 inches.
long leg = sqrt(3) * short leg
long leg = 4sqrt(3) inches
Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.8 in. Each of the triangular faces has a base of 4.8 in and a height of 4.2 in. How much paper would it take to cover the entire pyramid?
Answer: 63.36 in
Step-by-step explanation: To find the area of the base its just 4.8x4.8= 23.04 and the area of the triangle is (4.8x4.2)/2= 10.08 multiply that by 4 since there are 4 sides thats 40.32 and add the area of the base making it 63.36
Antonio's checking account currently has a negative balance of −$42.17. Yesterday he made purchases of $3.75 and $12.07. If Antonio's bank charges $34 for overdraft protection, what was his account balance prior to yesterday's transactions?
Answer:
He started the day with 7.65
Step-by-step explanation:
Assuming at the beginning of yesterday he had a balance of x
He will be charged 34 dollars since he went negative
x- 3.75 -12.07 - 34 =-42.17
Combine like terms
x -49.82 = -42.17
Add 49.82 to each side
x -49.82+49.82 = -42.17+49.82
x = 7.65
Given the formula for an arithmetic sequence f(8) = f(7) + 5 written using a recursive formula, write the sequence using an arithmetic explicit formula.
Answer choices
f(8) = f(1) + 5
f(8) = f(1) + 7
f(8) = f(1) + 35
f(8) = f(1) + 40
Answer:
f(8) = f(1)+35
Step-by-step explanation:
f(8) = f(7) + 5
We are adding 5 each time
f(7) = f(6)+5
f(6) = f(5) +5
f(5) = f(4)+5
f(4) = f(3) +5
f(3)=f(2)+5
f(2)=f(1)+5
f(8) = f(7) + 5
Replacing
f(8) = f(6)+5 + 5
f(8) = f(5)+5+5 + 5
f(8) = f(4)+5+5+5 + 5
f(8) = f(3)+5+5+5 + 5+5
f(8) = f(2)+5+5+5+5 + 5+
f(8) = f(1)+5+5+5+5+5 + 5+5
f(8) = f(1)+35
Answer:
f(8) = f(1)+35
Step-by-step explanation:
When solving 4x – 3 = 5, the property used in the first step is the ________ property of equality. Question 12 options: A) transitive B) division C) substitution D) addition
Answer:
Addition
Step-by-step explanation:
The first step in solving 4x-3=5 is to add 3 to both sides. This demonstrates the addition property of equality, since adding a number to both sides of an equation balances it.
NO ONE IS ANSWERING ME:( BRAINLIEST ANSWER GIVEN A frame shop charges according to both of framing needed to surround the picture and the amount of glass needed to cover the picture. A. Find the area and perimeter of the trapezoid-shaped framed picture to the right. B. Identify whether the frame has to do with perimeter or area and the same with the glass. lengths are 30 ft each, widths are 27 & 63, height is 24
Answer: See below
Note: If the length and width does not match the picture, then just flip the numbers. I cannot guarantee the area is 100% correct because you did not provide a picture. If the top/bottom of the trapezoid is 27, 62, and the left/right of the trapezoid is 30, then the area below is correct. If the picture shows the opposite then but 30 into a and b.
Step-by-step explanation:
Though you did not attach a picture as described in the problem, we will have to try our best to work with what you gave us.
I am assuming the lengths are the lines on the left and right of the trapezoing and the widths are the lines on the top and bottom of the trapezoid.
A.
To find the perimeter, you add the lengths and widths.
P=30+30+27+63=150 ft
To find the area, you use the formula [tex]A=\frac{a+b}{2} h[/tex]. The a and b represent the bases or in this case, the widths.
[tex]A=\frac{27+63}{2} (24)[/tex]
[tex]A=1080 ft^2[/tex]
B.
The frame has to do with the area of the glass because the frame surrounds the outside of the glass. The surrounding of the glass would be the perimeter.
The glass would be the area because the area covers everything inside the frame.
Answer:
A: When you add all of the sides, you get 150 as the perimeter.
B: The frame has to do with the area of the glass. The frames surround the outside of the glass. This would be the perimeter. The glass would be the area.
∠ and ∠ are a linear pair. If the ∠=2+24 and ∠=4+36, what are ∠ and ∠?
Answer:
x = 20
KPL = 64
JPL = 116
Step-by-step explanation:
A linear pair adds to 180 degrees
2x+24 + 4x+ 36 = 180
Combine like terms
6x+60 = 180
Subtract 60 from each side
6x = 120
Divide by 6
6x/6 = 120/6
x = 20
KPL = 2x+24 = 2*20+24 = 40+24 = 64
JPL = 4x+36 = 4*20 +36 = 80+36 = 116
KPL = 64
x = 20
JPL = 116
Step-by-step explanation:
Linear = 180
2x+24 + 4x+ 36 = 180
Must combine like terms ( 2x and 4x)
6x+60 = 180
Isolate x by subtracting 60
6x = 120
Divide by 6 to simplify
6x/6 = 120/6
x = 20
KPL = 2x+24 = 2*20+24 = 40+24 = 64
JPL = 4x+36 = 4*20 +36 = 80+36 = 116
Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the
probability that the student takes Spanish or French?
A 31%
B.27%
C. 23%
D. 19%
Answer:
C. 23%
Step-by-step explanation:
C. The probability that the student takes Spanish or French is 23%
What is mutually exclusive events ?
If two events can not occur together at same time, then the events are called mutually exclusive.
If two events are mutually exclusive, then,
P(A∪B) = P(A)+P(B)
And If two events are not mutually exclusive, then,
P(A∪B) = P(A)+P(B)-P(A∩B)
What is the required probability ?In central high school,
15% of the students take Spanish language = P(A) (say)
12% of the students take French language = P(B) (say)
& 4% of the students take both the languages = P(A∩B)
Since some of students take both languages, so this is not mutually exclusive.
The probability that the student takes Spanish or French is P(A∪B).
∴ P(A∪B) = P(A)+P(B)-P(A∩B)
= 15%+12%-4%
= [tex]\frac{15}{100}+\frac{12}{100}-\frac{4}{100}[/tex]
= [tex]\frac{15+12-4}{100}[/tex]
= [tex]\frac{23}{100}[/tex] = 23%
Hence, Required probability is 23%
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16b2c12–0.25 Factor Completey
Answer:
[tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]16b^2c^{12} - 0.25[/tex]
Required
Factor Completely
Follow the steps below;
Rewrite 0.25 as a fraction
[tex]16b^2c^{12} - \frac{25}{100}[/tex]
Simplify fraction to lowest term
[tex]16b^2c^{12} - \frac{1}{4}[/tex]
Expand [tex]16b^2c^{12}[/tex]
[tex]4^2b^2c^{6*2} - \frac{1}{4}[/tex]
[tex](4bc^{6})^2 - \frac{1}{4}[/tex]
Expand [tex]\frac{1}{4}[/tex]
[tex](4bc^{6})^2 - \frac{1}{2}*\frac{1}{2}[/tex]
[tex](4bc^{6})^2 -( \frac{1}{2})^2[/tex]
From laws of product of two squares
[tex]a^2 - b^2 = (a+b)(a-b)[/tex]
So,
[tex](4bc^{6})^2 -( \frac{1}{2})^2[/tex] is equivalent to
[tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
The expression cannot be factorized any further;
Hence, the factor of [tex]16b^2c^{12} - 0.25[/tex] is [tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The measure of angle 0 is 7pie/6 the measure of its reference angle is __ degree and sin 0 is __ .
The area of a circle is 3.14 square meters. What is the circle's radius?
Answer:
1 mSolution,
Area=3.14 m^2
Radius=?
Now,
[tex]area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: or \: 3.14 = 3.14 \times {r}^{2} \\ or \: 3.14 = 3.14 {r}^{2} \\ or \: {r}^{2} = \frac{3.14}{3.14} \\ or \: {r}^{2} = 1 \\ or \: r = \sqrt{1} \\ r = 1 m[/tex]
hope this helps..
good luck on your assignment
A circle is a curve sketched out by a point moving in a plane. The radius of the circle whose area is 3.14 m² is 1 m.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of a circle is the product of the square of the radius and pi. Therefore, the radius of the circle with an area of 3.14 m² can be written as,
[tex]\text{Area of circle}=\pi r^2[/tex]
[tex]3.14 = \pi r^2\\\\3.14 \times 3.14 \times r^2\\\\r = 1\rm\ m[/tex]
Thus, the radius of the circle whose area is 3.14 m² is 1 m.
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I need to divide a recipe in half that calls for 1/2 of a cup of sugar. How much sugar do I need?
Answer:
1/4 cup of sugar
Step-by-step explanation:
Answer:1/4
Step-by-step explanation:
1/2 divided by 2 = 1/4
Help I’m confused I will mark as Brainliest for the best answer and explanation
the distance from my home to the shopping centre is 5860 yards.
Translate the following expression
20 decreased by 17
Question 7 options:
17 - 20
20 - 17
20 + 17
17 + 20
Answer:
20 - 17
Step-by-step explanation:
Decreased means subtract
20 - 17
The correct translation of the expression "20 decreased by 17" is "20 - 17."
Given is a verbal expression we need to convert it into algebraic form,
To reach this conclusion, we need to understand the phrase "decreased by" means subtraction.
When we say "20 decreased by 17," it implies that we are subtracting 17 from 20. In mathematical terms, this can be represented as 20 - 17.
Let's analyze the other options:
17 - 20: This option represents 17 subtracted by 20, which is the opposite of the original expression and doesn't match the given phrase.
20 + 17: This option represents the addition of 20 and 17, which doesn't align with the original expression. We are looking for subtraction, not addition.
17 + 20: This option also represents addition, and as mentioned before, the original expression involves subtraction, not addition.
Therefore, the correct answer is 20 - 17.
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again i don't understand :(
Answer:
13) x=4, y=0
15) x= -3, y=1
Step-by-step explanation:
13. Label the 2 equations.
y= x-4 -----(1)
-4x -6y= -16 -----(2)
From (2): -2x -3y= -8 -----(3)
(divide by 2 throughout)
Subst. (1) into (3):
-2x -3(x-4)= -8
-2x -3x +12= -8 (expand)
-5x= -8 -12 (simplify, constant to 1 side)
-5x= -20 (simplify)
x= 4 (divide by -5 throughout)
subst. x=4 into (1):
y= 4 -4
y= 0
15. x= y -4 -----(1)
-2x +3y= 6 -----(2)
subst. (1) into (2):
-2(y-4) +3y= 6
-2(y) -2(-4)= 6 (expand)
-2y +8= 6
-2y= 6 -8 (bring constant to 1 side)
-2y= -2
y= 1 (divide by -2 throughout)
subst. y=1 into (1):
x= 1 -4
x= -3
The top of the cardboard box
measures 9 inches by 4 inches.
How much cardboard is needed
to make the top (only) of the box?
_____inches squared
Answer:
The quantity of cardboard that is needed to make the top of the box is:
36 inches squared.Step-by-step explanation:
When the exercise asks you about the "inches squared," it's asking you about the area, the area of a rectangle (a rectangle because a cardboard box regularly is rectangular) is:
Area of a rectangle = length * widthNow, you must replace the length and the width by the values in the exercise (doesn't matter what is width or length, remember the commutative property of the multiply):
Area of a rectangle = 9 in * 4 inArea of a rectangle = 36 in^2 or 36 inches squared.
Please answer correctly !!!! Will mark brainliest !!
Answer:
h(u)=-7/6u
Step-by-step explanation:
To write a formula for v in terms of u, you need to first isolate v.
4u+8v=-3u+2v
Add 3u to both sides:
7u+8v=2v
Subtract 8v from both sides:
7u=-6v
Divide both sides by -6:
v=-7/6u
Hope this helps!
Answer:
u= - 6v
7
Step-by-step explanation
GIVING OUT BRAINLIEST
1. Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval.
2. Solve the inequality 2x - 5 ≤ -x +12. Give your answer as an interval.
Answer:
1. x ∈ (-∞, - 23/5)
2. x ≤ 17/3
Step-by-step explanation:
If the distance on a map is 2cm and it represents 50 meters what is the Scale Factor?
Answer: 1 cm = 25 meters or 1:25
Step-by-step explanation:
Divide the real distance by the measured distance and find the ratio from the simplified fraction.
Solve the equation to this problem
Answer:
x = - 6/7
Step-by-step explanation:
To start, 1x is just 1 times x, which you can just write as x.
x+3 = 8x+9
Then, you can bring x over to the other side of the equation, meaning it becomes -x. You can also think about subtracting x from both sides so it cancels out on the left.
3 = 8x+9-x
Next, do the same for the 9, so your equation looks like this:
3-9 = 8x-x
Just simplify it:
-6 = 7x
Finally, divide -6 by 7 to find x.
So, x = -6/7
Calculate the slope of the line that goes through the points (2, 0) and (−4, 6)
The answer is -1
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
m = - 1. (Slope)
Step-by-step explanation:
To find the slope of a line, you will need to use the slope formula: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Plug in the 'x' and 'y' value of each coordinate into the equation:
[tex]m = \frac{0-6}{2-(-4)}[/tex]
Simplify this:
[tex]m = \frac{-6}{6}[/tex]
m = -1.
Therefore, the slope of the line is m = -1.
