Answer:
-10² = -100
Step-by-step explanation:
The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.
The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.
Hope this helps.
A power in mathematics is defined as the exponent to which a whole number is raised.
There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]
When multiplying two negative numbers, their negative signs tend to cancel out
-a x - a = [tex]a^{2}[/tex]
The power for a is given as 2
To solve the above question:
[tex]-10^{2}[/tex]
This can be written as:
-10 x -10
= 100
Therefore, there was no error in the evaluation of the expression.
because [tex]-10^{2} = 100[/tex]
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2. Find the value of x and y.
62°
(4x+2)°
(12y)
144°
Ox= 15, y= 12
Ox= 14, y= 11
Ox=14, y = 12
Ox= 15, y= 11
Answer:
x=15,y=12
Step-by-step explanation:
Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The figure contains four angles.
62 and (4x + 2) are alternate angles.
12y and 144 are alternate angles.
We know that alternate angles are equal.
So,
62 = 4x + 2 ____(1)
12y = 144 _____(2)
From (1) we get,
62 = 4x + 2
Subtract 2 on both sides.
62 - 2 = 4x + 2 - 2
60 = 4x
Divide both sides by 4.
4x = 60
x = 60/4
x = 15
From (2)
12y = 144
Divide both sides by 12.
y = 144/12
y = 12
Thus,
The value of x and y are 15 and 12.
x = 15
y = 12
Option A is the correct answer.
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can anyone help me with this, with a full explanation ?? thank you
Step-by-step explanation:
let the 3 consecutive odd number be
x + 1 , x + 3 , x + 5
as, there sum is 45. so, after inserting the values we got,
→ x + x + 1 + x + 3 = 45
→ 3x + 9 = 45
→ 3x = 45 - 9 = 36
→ x = 36/3 = 12
→ x = 12
therefore, 3 consecutive odd number are
→ x + 1 = 12 + 1 = 13
→ x + 3 = 12 + 3 = 15
→ x + 5 = 12 + 5 = 17
hope this answer helps you dear...take care and may u have a great day ahead!
− 4/1 a−4= 4/7 a−3
The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125
The given equation is:
[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]
Cross multiply:
[tex]-4(7)(a-3) = 4(a-4)[/tex]
Divide both sides by 4
[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]
Expand the bracket using the distributive rule
-7a + 21 = a - 4
Collect like terms
a + 7a = 21 + 4
Simplify the arithmetic
8a = 25
Divide both sides by 8
[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]
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Select the elements in
A
.
A
=
{
x
:
x
−
3
=
5
}
Answer:
3
Step-by-step explanation:
Find the value of x.
So you know that all the angles in a triangle must add up to 180. Therefore, you can make this equation:
[tex](-20x+3)+(-40x+18)+(-15x+9)=180[/tex]
And now just solve for x!
[tex]-75x+30=180\\-75x=160\\x=\frac{160}{-75}\\x=-2.4[/tex]
So, your answer is:
x = -2.4
Please please help me with this question please help me now please
Answer:
a) linear, straight when graphed and no exponents
b) quadratic, x has exponent
c) quadratic, x has exponent
d) linear, no exponent
e) quadratic, x has exponent
f) i think it's neither because there's two variables that can't add together
Step-by-step explanation:
Answer:
A is linear because a linear equation is mapped in the form y=ax+b and results in a straight line when graphed. This equation has a slope, 1, which occupies the space for a and a y-intercept of 3 which occupies the space for b
B is neither because it doesn't fit the linear form or the quadratic form (which is constrained by the equation y=ax^2+bx+c. The highest degree for this form is 2.) I believe this function is actually a type of cubic which is not an option for the question.
C is a quadratic because it follows the form y=ax^2+bx+c and results in a parabola
d. 3x-y=5 is linear because even though it is not in the y=ax+b form, it can be manipulated into it by subtracting 3x from both sides and then dividing by -1 on both sides to get y=3x-5 which fits the form and graphs a line.
e. 5-x^2=89 would be neither because there is only one variable and there is no value of y that can be solved for. While we can find an x value (or perhaps multiple x values depending on the equation) it wouldn't result in a graphable equation which is a necessity to be classified as a linear or quadratic. In fact, I believe this is actually just an equation and not a function at all and since linear and quadratics are forms of functions they cannot be either. This is because a function is defined as a relation between two variables where each input has one (and only one) output and this equation doesn't have two variables and wouldn't have an output.
f. Neither for the same reason as in e
Hope this helps!
2.11 Incomes of college grads. The Census Bureau reports that the mean
and median income of people who worked full-time in 2001 and had at
least a bachelor's degree were $53,054 and $72,674. Which of these
numbers is the mean and which is the median? Explain your reasoning.
2.12 Internet access. How much do users pay for Internet access? Here are
the rhonthly fees (in dollars) paid by a random sample of 50 users of
commercial Internet service providers in August 2000:4
20 40 22 22 21 21 20 10 20 20
20 13 18 50 20 18 15 8 22 25
22 10 20 22 22 21 15 23 30 12
9 20 40 22 29 19 15 20 20 20
20 15 19 21 14 22 21 35 20 22
(a) Make a stemplot of these data. Briefly describe the pattern you see.
About how much do you think America Online and its larger
competitors were charging in August 2000? Are there any outliers?
(b) To report a quick summary of how much people pay for Internet
service, do you prefer ands or the five-number summary? Why?
Calculate your preferred summary
What is the value of the expression shown?
1/2(7.9−0.08)
Answer:
1/2(7.9-0.08) = 3.91
Step-by-step explanation:
solve for Y -2(y-3)+12y>16
Answer:
Y>1
Step-by-step explanation:
what is the value of 3\4 ÷ 2 1\2
please no links
AND HELP THIS IS DUE IN A COUPLE MINUTES
Answer:
1/14
Step-by-step explanation:
3/4÷21/2
3/4× 2/21=6/84=1/14
2x ( 2x - 3 )
Plz help
Answer:
4x² - 6x
Step-by-step explanation:
2x(2x - 3)
Distribute 2x into the parenthesis:
2x(2x - 3) = 4x² - 6x
100 points for anyone who solves this :)
Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
Answer:
Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.
Answer:
Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.
Step-by-step explanation:
-2 13/15 -0.75 2 from greatest to least
Answer:
greatest (2, 13/15, -0.75, -2) least
Step-by-step explanation:
Need help with number one
Answer:-3/2
Step-by-step explanation: transform the expression from 3/4+-9/4 to 3-9/4=-6/4 then reduce 6/4 to -3/2
2/3-(-5/3)
Find the difference. Write fractions in simplest form.
Answer:
Step-by-step explanation: to solve this we'd do 2-(-5) which is the same as 2 + 5 which is 7. final answer is 7/3 or if its a mixed number, 2 1/3
Find the greatest common factor of the following numbers?
Answer:
where are the numbers?
Step-by-step explanation:
where are the numbers
Express 92 as a product of its prime factors
2² × 23
Step-by-step explanation:
92 = 2 × 46
92 = 2 × 2 × 23
92 = 2² × 23
The Phillipses traveled 717.2 miles to pick up their new boat. At the end of the trip, the odometer read
23,518.9 miles.
Answer:
what is the question?
Step-by-step explanation:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
Which of the following numbers are divisible by 8?
a) O 2048
b) O 72 045
c) O 800
d) 56 120
The sum of two numbers is 113. Four times the smaller number equals three times the greater number.
Answer:
the larger number is 452/7 and the smaller number is 1356/28
HELP PLEASE !!!!!!!!!!
Answer:
m < 2 = 38°
Step-by-step explanation:
The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.
HELPPPP
Which expression is a perfect square?
A. x² - 4x + 4
B. x2 - 4x - 4
C. 12 - 9x + 9
D. 12 - 9x – 9
Answer: Choice A
========================================================
Explanation:
A perfect square trinomial is of the form
(m+n)^2 = m^2 + 2mn + n^2
We can see why this works through use of the FOIL rule.
So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.
Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.
This leaves choice A. We can do a bit of trial and error to find that
(x-2)^2 = x^2 - 4x + 4
showing that choice A is a perfect square trinomial.
Answer:
A) x² - 4x + 4
Step-by-step explanation:
Given the following special factoring formulas on perfect square trinomials:
u² + 2uv + v² = (u + v)²
u² - 2uv + v² = (u - v)²
Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.
To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.
In Option A: x² - 4x + 4
Right off the bat, it seems like the difference of squares may apply to this equation. You must find the factors that will product of 4 and a sum of -4.
The possible factors are:
product uv: -2 × -2 = 4,
sum v : -2 + -2 = -4
Hence, the binomial factor of x² - 4x + 4 = (x - 2)²
If you expand this binomial through FOIL method:
(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4
This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².
Therefore, the correct answer is Option A) x² - 4x + 4.
Please mark my answers as the Brainliest, if you find this helpful :)
The outdoor temperature was 8 degrees at midnight. The temperature declined 5 degrees during each of the next 3 hours. What was the temperature at 3 A.M?
Answer:
-9 degrees
Step-by-step explanation:
workings -3 * 3 = -9 degrees
HELPP mee pleassseeeeeeeed
Recall that the perimeter of a rectangle is P=2(W+L), where W is the width and L is the length. The length of a rectangle is 23 feet more than the width. If the perimeter is 70 feet, then what is the length of the rectangle, in feet?
Answer:
Length = 6 + 23 = 29 feet
Step-by-step explanation:
Width = x
Length = x + 23
2x + 2(x+23) = 70
2x + 2x + 46 = 70
4x = 70-46
x = 24/4
x = 6
Graph each function for the given domain.
3x - y = 1 D(-3,-1,0,4)
Answer:
the following ordered pairs are your coordinates: (-3,-10), (-1, -4), (0,-1), (4,11)
Step-by-step explanation:
We can find these algebraically. First, you need to put your equation into the form y=mx+b. The m is the slope and the b is your y intercept. Once we have that equation, we just plug in the given X values to find their Y counterparts. The domain is simply the X coordinate and the range is the Y. I hope this helps!
How many 135-inch-thick books can fit on a 1412-inch-long bookshelf?
Answer:
about 32 books (rounded)
Step-by-step explanation:
1412/135=32
HELP
15.4 = -2.1 + a/0.2
i'll give brainliest
Write the equation of each line in slope-int. Form
y=mx + b
3. Slope = -2 and y-int. = -6
I
Answer:
y=-2x-6
Step-by-step explanation:
You put the slope before the x and the y intercept goes at the end.
x-16=9(2x+3)-9 find x
Answer:
x= -2
TO MUCH STEPS