Answer:
x = ± 8 using the square root property
Square root both sides to get x = ± 8.
Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $10,000. The price of car A is $130,645. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car B?
Part a.
x = price of car B
x-130645 = difference in price from car A to car B
If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.
In short,
x-130645 > 0 when x > 130645x-130645 < 0 when x < 130645Using absolute value will give us
|x-130645| = positive difference in price
The result of an absolute value is never negative
We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.
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Answer: | x-130645 | > 10000
================================================
Part b.
We'll use the idea that if |x| > k, then x < -k or x > k
to get the following
|x-130645| > 10000
x-130645 < -10000 or x-130645 > 10000
x < -10000+130645 or x > 10000+130645
x < 120645 or x > 140645
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Answer:
Car B has a price less than $120,645
OR
Car B has a price greater than $140,645
So basically anything that is not between 120645 and 140645. The price has to be positive of course.
PLEASE HELPPPPPP I HAVE BEEN STUCK ON THIS FOR HOURSSSSSS
please help <3 i don’t understand this question well i do but like idk how 2 word it
Answer:
Square
Step-by-step explanation:
6 * [tex]10^{8}[/tex] = 600,000,000
I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.
6. 0 0 0 0 0 0 0 0.
which coordinate pair represents the reflection of poin A across the y-axis
Answer:
i need and image
Step-by-step explanation:
3x^2-15x-108 need answer ASAP
Step-by-step explanation:
3 x^2 - 15x - 108 = 0
divided by 3
x^2 - 5x - 36 = 0
factorice
(x= -9)(x= 4)=0
x=9 , x= -4
Answer:
-3 (x + 5x )(x + 36
Step-by-step explanation:
a=14; what does 15+5+a equal
Answer:
34
Step-by-step explanation:
So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:
15 + 5 + 14
15 + 5 = 20
20 + 14 = 34
All you do is replace a with 14 then add 15, 5 and 14 getting 34.
HOPE IT HELPED
−(32 − 12) + 4 ÷ 2 please help
Answer:
-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
You have to follow the order of operations so first off, we'd do -(32-12) which is negative twenty.
Now we're left with;
-20 + 4/2
Here we're going to do division before we add so,
4/2 is 2
All that's left would be,
-20 + 2 which equals -18
Hope that helps, and have a great day!
PLEASE HELP YOU WILL BE MARKED BRAINLIEST
Find the factored form of the expression. Check your answer. 6x2 + 54
Answer:
6⋅(x+3)⋅(x−3)
Step-by-step explanation:
consider this right triangle with given measures what is the unknown length
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9
Determine the statement that is logically equivalent to this conditional statement.
If you have a small lawn to mow, then you do not live in a mansion.
A)
If you have a small lawn to mow, then you live in a mansion.
B)
If you do not have a small lawn to mow, then you live in a mansion.
If you live in a mansion, then you do not have a small lawn to mow.
D)
If you do not live in a mansion, then you have a small yard to mow.
Answer:
C) If you live in a mansion, then you do not have a small lawn to mow.
Step-by-step explanation:
Statement is
If you have a small lawn to mow, then you do not live in a mansion. "If p then q"Equivalent statement as per the rule should be:
1. Not p or q2. q or not p3. If not q then not pOptions to identify equivalent statement
A) If you have a small lawn to mow, then you live in a mansion.
FalseB) If you do not have a small lawn to mow, then you live in a mansion.
FalseC) If you live in a mansion, then you do not have a small lawn to mow.
True as per rule 3 aboveD) If you do not live in a mansion, then you have a small yard to mow.
FalseCorrect answer is option C)
find three consecutive even integers whose sum is 54
35 over 11 rounded to the nearest tenth
what is 8 ninths plus 7 fifteenths
Answer:
122/90 or 1 32/90
Step-by-step explanation:
8/9 and 7/15 have the common denominator of 90.
Step 1:
8/9 + 7/15
Step 2:
80/90 + 42/90
Step 3:
122/90
Answer:
122/90 or 1 32/90
Hope This Helps :)
6 + x is an example of _____. a variable an expression a constant a formula
Answer: a formula
Step-by-step explanation:
Its easy, just because you see that there is a variable, but there is also a formula. The answer could be a formula. If it was all letters, the answer would be variable, but its not. The answer is a formula.
Answer:
B. An Expression
Step-by-step explanation:
An expression is one term or a combination of multiple terms using an addition or subtraction sign.
Hope I was able to help you!
4.9x 10^2 as a decimal number????
Answer:
490.0...
Step-by-step explanation:
4.9 x 10^2
(squared)
4.9 x 10 x 10
the easiest way to do this is to move the decimal 2 places to the right, as
10 x 10 = 100
4.9 x 100 = 490.0...
What is the distance formula
Answer:
the firdst image in the uper left corner
Step-by-step explanation:
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex][tex]\\[/tex]
Cheers!
Please help answer this!!!! 1/3^2
Answer:
0.11111111111
Step-by-step explanation:
0.11111111111
Answer:
1/6
Step-by-step explanation:
1/3 times 1/3 is equal to 1/3^2
1 * 1/ 3*3
1/6
-5 + T = -5
A(0
B(-10
C(-5
D(10
anyone know what’s the answer to this
Answer:
0 (A)
Step-by-step explanation:
just cancel equal terms on both size
Simplify 〖3m〗^8 n^3÷(〖3m〗^8 n^3 )^0
[tex]6561m^{8}n^{3}[/tex]
3995.996 to the nearest hundreth
Answer:
Step-by-step explanation:
3995.996 to the nearest hundredth
9 is in the hundredths place
to the right is 6 and it is higher than 5
therefore it is 3996
which of the following expressions is equal to -20
Answer:
no expression is equal to -20
Find two rational numbers between -1 and 0
Answer:
-1/2 and -3/4
Step-by-step explanation:
rational numbers are numbers that can be expressed in a fraction
although a meteorite might travel millions of kilometers to reach earth the particles of iron in a meteorite are identical to the particles of iron an iron skillet because iron is a
pure substance
metalloid
mixture
compound
10 points!:)
Answer:
pure substance! I checked.
Step-by-step explanation:
In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.
Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________
Answer:
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Step-by-step explanation:
Relevant data provided as per the requirement of question is shown below:-
M(c,d)is a midpoint of PQ
PM = MQ
The expression for PM to find an expression for PQ is shown below:-
Where,
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Which is equals to MQ
and
[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
For more clarification, the diagram has been presented below:-
I______I______I
P M Q
(a,b) (c,d)
what is the difference between a square root and dividing by 2?
Dividing by 2 is obvious. Square root is "a number which produces a specified quantity when multiplied by itself." Essentially the opposite of exponents.
Plz help me out:( :(
Answer:
Look below
Step-by-step explanation:
To figure whether a line is perpendicular or parallel check the slopes
When a line is parallel the slopes are the same
When a line is perpendicular the slopes are negative reciprocals
40. Neither (They aren't the same nor a negative reciprocal)
41. Neither (When you put y on the left it isn't a reciprocal)
42. Parallel (The slopes are both -3/2)
To do 43-44 make sure that the slopes are the same then plug in the points to to find the y-intercept (make sure you solve for b)
43. y = -4x - 1
44. y = 2x + 1
For 45-46 do the same thing, but make sure you change the slope to a negative reciprocal since its perpendicular
45. y = -3/2x-11
46. y = 1/4x+4
Help wanted! what is 20 divided by 5 times 1?
its 4,
=(20/5)1
= (4)1=4
Answer:
4
Step-by-step explanation:
20÷5x1
20÷5=4
4x1=4
PLEASE HELP WILL MARK AS BRAINLIEST
Answer: in exact form: 291.5 + 30.25π cm²
correct to 2 decimal places: 386.53 cm²
Step-by-step explanation:
first you find the area of the rectangle:
= length × width
= 53 × 11
= 583 cm²
Next you find the area of the semicircle:
= π × r² (where r is the radius)
= π × (11/2)²
= 30.25π cm²
Then you find the area of the unshaded triangle:
= half × base length × perpendicular height
= 1/2 × 53 × 11
=291.5 cm²
Finally you subtract the unshaded area (the triangle) from the shaded area (not including the semicircle) then add the semicircle to your result.
= 583 (rectangle) - 291.5 (triangle) + 30.25π (semicircle)
= 291.5 + 30.25π
≈ 386.53 cm² (2 decimal places)
Please show all work and not just the answers.
note: -2.5 is equivalent to the fraction -5/2
==============================================
Explanation:
For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.
The value 5 is two units away from both endpoints 3 and 7.
Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.
----------
The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.
Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.
Put together, the midpoint is located at (-6, -2.5)
If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?
Answer:
4 people
Step-by-step explanation:
Let's first write an equation.
We want to find the number of tickets t
The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.
$49 = $8.50t + $15
Solve for t, first subtract $15 from both sides.
$49 - $15 = $8.50t
$34 = $8.50t Divide both sides by $8.50
$34/$8.50 = $8.50t/$8.50
$34/$8.50 = t
4 = t
4 tickets meaning 4 people went.