Answer:
The expression is false
Step-by-step explanation:
Given
[tex]f - (g - h) = (f - g) - h[/tex]
Required
True or False
To determine if the expression is true or false, we need to simplify both sides of the equation
[tex]f - (g - h) = (f - g) - h[/tex]
Start by opening the bracket on the right hand side
[tex]f - (g - h) = f - g - h[/tex]
Then open the bracket on the left
[tex]f - g + h = f - g - h[/tex]
Subtract f - g from both sides
[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]
[tex]f - g - f + g + h = f - g - f + g - h[/tex]
[tex]f - f - g + g + h = f - f - g + g - h[/tex]
[tex]h \neq -h[/tex]
Hence;
The statement is false
To further check;
Assume f = 5; g = 4 and h = 3
[tex]f - (g - h) = (f - g) - h[/tex] becomes
[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]
[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]
[tex]2 \neq -2[/tex]
(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving
Answer:
[tex]\huge \boxed{11x^2 y^3-4xy^2 }[/tex]
Step-by-step explanation:
[tex](4x^2y^3 + 2xy^2 - 2y) - (-7x^2 y^3 + 6xy^2 -2y)[/tex]
Distribute the negative sign to the terms in the bracket.
[tex](4x^2y^3 + 2xy^2 - 2y) +7x^2 y^3 - 6xy^2 +2y[/tex]
Grouping like terms.
[tex](4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y +2y)[/tex]
Combining like terms.
[tex](11x^2 y^3) + (-4xy^2 ) +(0)[/tex]
[tex]11x^2 y^3-4xy^2[/tex]
Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed. Which list shows these lengths in order from greatest to least?
Answer:
[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]
Step-by-step explanation:
To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.
[tex]\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}[/tex]
LCM of the denominators,
2 | 25 11 100 24
2 | 25 11 50 12
5 | 25 11 25 6
5 | 5 11 5 6
1 11 1 6
LCM = 2×2×5×5×6×11 = 6600
[tex]\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}[/tex]
[tex]=\frac{792}{6600}[/tex]
[tex]\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}[/tex]
[tex]=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}[/tex]
[tex]\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}[/tex]
[tex]=\frac{594}{6600}[/tex]
[tex]\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}[/tex]
[tex]=\frac{275\pi }{6600}[/tex]
[tex]=\frac{864}{6600}[/tex]
Now we can arrange these fractions in the order of greatest to least.
[tex]\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}[/tex]
[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]
Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $46.68 $74.68 $466.75 $746.80
Answer:
$74.68
Step-by-step explanation:
Convert the percent to a decimal.
4% = 0.04
Multiply his income by the percentage to find the tax.
$1,867 × 0.04 = $74.68
He can expect to pay $74.68.
Answer:
B) $74.68
Step-by-step explanation:
I took the test on Edge
Hannah was adding 5 plus -4. When explaining her work she said that the sum is 9 because you add the numbers and take the sign of the larger number. In complete sentences explain what Hannah got wrong. What should the correct answer be?
Answer:
The sum is 1
Step-by-step explanation:
When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.
Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.
*MAKE SURE YOUR ANSWER IS CORRECT* // *NEED HELP* Spinner A and Spinner B have 5 color choices each: red, yellow, blue, green and pink. What is the probability of getting a green and pink combination from the area model?
Answer:
P = 2 / 25
Step-by-step explanation:
If we assume that the combination of green and pink means, 1 green and 1 pink, then we can say the following:
P = 1 / 25 + 1 / 25
P = 2 / 25
This is because the squares where green and pink intersect only occurs twice.
Hence, the probability is P = 2 / 25.
Cheers.
solve by using zero product property 2x⁴ + 6x³ + -4x²
Answer:
2x^2x(x^+3x-2)
Step-by-step explanation:
Find the largest of the following numbers: [tex]2^{3^4}, 2^{4^3}, 3^{4^2}, 4^{3^2}, 4^{2^3}[/tex]
Answer:
Its would be the second one
Step-by-step explanation:
Because 2x2x2x2 is 16 then 16x16x16 is 4096
36=4/9d what does d equal
Answer:
d = 81
Step-by-step explanation:
Solve for d:
36 = (4 d)/9
Hint: | Reverse the equality in 36 = (4 d)/9 in order to isolate d to the left hand side.
36 = (4 d)/9 is equivalent to (4 d)/9 = 36:
(4 d)/9 = 36
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 d)/9 = 36 by 9/4:
(9×4 d)/(4×9) = 9/4×36
Hint: | Express 9/4×4/9 as a single fraction.
9/4×4/9 = (9×4)/(4×9):
(9×4)/(4×9) d = 9/4×36
Hint: | Express 9/4×36 as a single fraction.
9/4×36 = (9×36)/4:
(9×4 d)/(4×9) = (9×36)/4
Hint: | Cancel common terms in the numerator and denominator of (9×4 d)/(4×9).
(9×4 d)/(4×9) = (4×9)/(4×9)×d = d:
d = (9×36)/4
Hint: | In (9×36)/4, divide 36 in the numerator by 4 in the denominator.
36/4 = (4×9)/4 = 9:
d = 9×9
Hint: | Multiply 9 and 9 together.
9×9 = 81:
Answer: d = 81
Answer: d=81
Step-by-step explanation:
Given
36=4/9 d
Divide both sides by 4/9 (division property of equality)
d=36 ÷ (4/9)
Turn division of fraction into multiplication of its reciprocal
d=36 × (9/4)
Simplify
d=81
Hope this helps!! :)
Please let me know if you have any question
The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee. The mathematical range for the function is the set of real numbers. Which statement describes have a reasonable range differs from the mathematical range A The reasonable range contains only integers. B The reasonable range contains only positive rational numbers. C The reasonable range contains only integers greater than 75. D The reasonable range contains only positive rational numbers greater than 75.
Answer:
D The reasonable range contains only positive rational numbers greater than 75.
Step-by-step explanation:
Given that the function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee.
The f(x) is the range of the function. If the mathematical range for the function is the set of real numbers, the reasonable range will be set of positive real numbers which will therefore greater than 75.
Option D is the correct answer which says;
D The reasonable range contains only positive rational numbers greater than 75.
Answer:
d
Step-by-step explanation:
15(x -20)-21= -3(x+1)+6
Answer:
x = 18
Step-by-step explanation:
Solve for x:
15 (x - 20) - 21 = 6 - 3 (x + 1)
Hint: | Distribute 15 over x - 20.
15 (x - 20) = 15 x - 300:
15 x - 300 - 21 = 6 - 3 (x + 1)
Hint: | Group like terms in 15 x - 300 - 21.
Grouping like terms, 15 x - 300 - 21 = 15 x + (-300 - 21):
15 x + (-300 - 21) = 6 - 3 (x + 1)
Hint: | Evaluate -300 - 21.
-300 - 21 = -321:
15 x + -321 = 6 - 3 (x + 1)
Hint: | Distribute -3 over x + 1.
-3 (x + 1) = -3 x - 3:
15 x - 321 = -3 x - 3 + 6
Hint: | Group like terms in -3 x - 3 + 6.
Grouping like terms, -3 x - 3 + 6 = (6 - 3) - 3 x:
15 x - 321 = (6 - 3) - 3 x
Hint: | Evaluate 6 - 3.
6 - 3 = 3:
15 x - 321 = 3 - 3 x
Hint: | Move terms with x to the left hand side.
Add 3 x to both sides:
15 x + 3 x - 321 = (3 x - 3 x) + 3
Hint: | Look for the difference of two identical terms.
3 x - 3 x = 0:
15 x + 3 x - 321 = 3
Hint: | Group like terms in 15 x + 3 x - 321.
Grouping like terms, 15 x + 3 x - 321 = (15 x + 3 x) - 321:
(15 x + 3 x) - 321 = 3
Hint: | Add like terms in 15 x + 3 x.
15 x + 3 x = 18 x:
18 x - 321 = 3
Hint: | Isolate terms with x to the left hand side.
Add 321 to both sides:
18 x + (321 - 321) = 321 + 3
Hint: | Look for the difference of two identical terms.
321 - 321 = 0:
18 x = 3 + 321
Hint: | Evaluate 3 + 321.
3 + 321 = 324:
18 x = 324
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 324 by 18:
(18 x)/18 = 324/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 324/18
Hint: | Reduce 324/18 to lowest terms. Start by finding the GCD of 324 and 18.
The gcd of 324 and 18 is 18, so 324/18 = (18×18)/(18×1) = 18/18×18 = 18:
Answer: x = 18
Tell whether -3.12345... is greater than, less than or equal to the
negative square root of 7.
Answer: it’s greater than the negative square root of 7
Step-by-step explanation:
The negative square root of 7 is -2.64575131106 hope this helps
Answer Scale Factor Question
Answer:
scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
A(4, - 2 ) → A'(1, - [tex]\frac{1}{2}[/tex] )
To determine the scale factor compare the ratio of corresponding coordinates, image to original, that is
scale factor = [tex]\frac{1}{4}[/tex] = [tex]\frac{-\frac{1}{2} }{-2}[/tex] = [tex]\frac{1}{4}[/tex]
What is the value of p in the linear equation 24p +12 - 18p = 10 + 2p - 6 ? −4 −2 2 4
Answer:
SO we have to solve this equation:
24p + 12 - 18p = 10 + 2p - 6
First, we will operate what we have in both sides:
24p - 18p + 12 = 10 - 6 + 2p
6p + 12 = 4 + 2p
We substract 2p in both sides and 12 too.
6p + 12 - 2p - 12 = 4 + 2p - 2p - 12
4p = -8
Now, we divide both sides by 4
4p/4 = -8/4
p = -2
The value of p is -2.
The correct option is (B)
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
24p +12 - 18p = 10 + 2p - 6
Now, solving for p
6p + 12= 2p + 4
6p - 2p = 4 -12
4p = -8
p= -8/4
p= -2
Hence, the value of p is -2.
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help me please
solve: -11x^2-44=0
Answer:
1.1 Factoring: x2-44
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 44 is not a square !!
Step-by-step explanation:
All of the x values or inputs are called what?
Answer:
its called a Domain
Step-by-step explanation:
All of the x-values or inputs are called Domain.
"x-values" is the word used in mathematics and statistics to describe the input values or independent variables in a function or equation.
These x-values stand for a function's inputs, arguments, or the points at which a mathematical connection is being assessed.
The outputs or dependent variables of a function are represented by the appropriate y-values, which are often paired with the associated x-values. The link between the independent and dependent variables can be seen on a graph by plotting the x-values and y-values together as data points.
For example, in the equation y = 2x + 3, "x" represents the x-values or inputs, while "y" represents the corresponding y-values or outputs. By substituting different values for x, you can calculate the corresponding y-values and observe how changes in the x-values affect the relationship described by the equation.
Hence the answer is Domain.
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John runs for 2.25 hours, burning 375.5 calories per hour. How many total calories does he burn?
Answer:
844.875
Step-by-step explanation:
375.5 * 2.25= 844.875
The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its position in the frame to the next.
Answer:
The correct option is;
Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left
Step-by-step explanation:
The motion of the shape are
1) The shape is moved up from the initial position
2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock
3) The shape then moves two motion of coming down and moving right in one step
4) The shape is then rotated 90 degrees in the clockwise direction
5) In the final step, the shape is moved left.
On a number line, point C is located at -4 and point D is located at 6. At what point must P be located so that the directed line segment from C to D will be partitioned in a 2:3 ratio?
●-2
●0
●2
●4
Answer:
0 is the answer
Step-by-step explanation:
The position of point P is at 0 on number line.
What is Number line?
Number line is a straight line with numbers placed at equal intervals.
Given that;
Point C is located at -4.
Point D is located at 6.
Now,
Distance between points -4 and 6 is,
6 - (-4) = 6 + 4 = 10
Since, Point P be located so that the directed line segment from C to D will be partitioned in a 2 : 3.
Let partitions are 2x and 3x.
Then,
2x + 3x = 10
5x = 10
x = 2
So, The partitions between point C and D is,
2x = 2 × 2 = 4
3x = 3 × 2 = 6
So, The ratio become = 4 : 6
Thus, Position of point P from C = - 4 + 4 = 0
Position of point P from D = 6 - 6 = 0
So, The position of point P is at 0 on number line.
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The cost for b, breakfasts, l, lunches, and d, dinners for a group of people is 6.5b + 9.757 + 17.25d. What is the total cost of 9 breakfasts, 12 lunches, and 14 dinners?
Answer:
417.084
Step-by-step explanation:
9*6.5+12*9.757+14*17.25
58.5+117.084+241.5
⇒417.084
Using the same table from the previous problem: Identify the slope. A). 2/3 B). 3/2 C). -3/2 D). -2/3
Answer:
D)
Step-by-step explanation:
Take any two points
(-6, 8) & (3,2)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{2-8}{3-[-6]}\\\\\\=\frac{-6}{3+6}\\\\\\=\frac{-6}{9}\\\\\\=\frac{-2}{3}[/tex]
Compile at the sentence 80000 is 1/10 of
Answer: This was confusing, but I think I get it.? Your answer is 800,000
Step-by-step explanation: 80,000 x 10 = 800,000
if bob has $23.6 and a guy stole $05.7 how much money does bob have?
Answer:
He has $17.9 now
Is 2 6/7+5 1/3 irrational or rational?
Answer: rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
It uses rational numbers to make an expression.
maya drive 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
8 hours
Step-by-step explanation:110 miles ................. 5 hours
176 miles ..................x hours
x = 176×5/110 = 880/110 = 8 hours
Answer:
maya drives 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
We use the rule of three
110 miles -------------> 5 hours
176 miles ------------> ???
So (176 miles × 5 hours) /110 miles
We simplify by 《miles》 because it is in the numerator and the denominator
SO (176×5 hours )/110
= 880 hours / 110
= 8 hours
So she drives 176 miles in 8 hours.
Which of the following square roots is best represented by Point A?
A
3
4
Answer:
No clue how to use this app but it says ur in highschool and I'm in middle and stuck on the same problem
Step-by-step explanation:
what is an equation of a line in a point-slope form that passes through (1,-7) and has a slope of -2/3?
Answer:
y+7=[tex]-\frac{2}{3}[/tex](x-1)
Step-by-step explanation:
slope of -2/3, so m=-2/3
point slope form=y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex])
plug in your slope as well as your x and y values from your point
y-(-7)=(-2/3)(x-1)
y+7=[tex]-\frac{2}{3}[/tex](x-1)
Complete the following sentence with the correct symbol(s) or statement(s). Select all that apply. |-3| ___ |-2| > < = ≠ ≤ not possible
Answer:
the absolute value signs change the expression to:
3 ____ 2
so:
3 > 2
3 ≠ 2
Answer:
|-3| > |-2|
|-3| ≠ |-2|
Step-by-step explanation:
which number sentence shows one way to find the sum of 4 and 5
a. 4+5+5= 14
b. 4+4+5= 13
c. 4+4+4= 12
e. 4+4+1= 9
Answer: 4+4+1=9(e)
Step-by-step explanation: because in 4+4+1 .... the 4+1 at the end equals up to 5 so therefore the equation is basically 4+5=9 .
can you help me with this
If you subtract 11.1 from 8.3 you get 2.8
2.8 is your answer :)
Since Peru spends 8.3 and Israel spends 11.1
Subtract that and that's how many more Israel spends on the internet
3 = q/11 i need it real quick
Answer:
[tex]q=33[/tex]
Step-by-step explanation:
So we have:
[tex]3=\frac{q}{11}[/tex]
Multiply both sides by 11:
[tex]11(3)=(11)\frac{q}{11}[/tex]
The right side cancels:
[tex]11(3)=q[/tex]
Multiply the left:
[tex]33=q[/tex]
Thus, the value of q is 33.
Answer:
q = 33
Step-by-step explanation:
3 = q/11 multiply both side by 11
3 * 11 = [tex]\frac{q}{11}[/tex] * 11
33 = q