Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at any value of x
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60
Answer:
1,4,7
Step-by-step explanation:
What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Answer:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Step-by-step explanation:
The question is poorly formatted.
Given
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Required
Derive an equivalent expression
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y}[/tex]
Express 18 as 9 * 2
[tex]\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}[/tex]
Split the expression as follows:
[tex]\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}[/tex]
Take positive square root of 9
[tex]\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}[/tex]
[tex]\sqrt[3]{2y^3} * 21 * \sqrt{2y}[/tex]
[tex]21*\sqrt[3]{2y^3} * \sqrt{2y}[/tex]
The cube root can be rewritten to give:
[tex]21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}[/tex]
[tex]\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y[/tex]
So, we have:
[tex]21*\sqrt[3]{2} * y * \sqrt{2y}[/tex]
Rewrite as:
[tex]21y *\sqrt[3]{2} * \sqrt{2y}[/tex]
Split [tex]\sqrt{2y[/tex]
[tex]21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}[/tex]
Collect Like Terms
[tex]21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}[/tex]
Represent in index form
[tex]21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}[/tex]
Apply law of indices
[tex]21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }[/tex]
[tex]21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}[/tex]
[tex]21*y^{\frac{3}{2}} *2^{\frac{5}{6}}[/tex]
[tex]21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
Hence:
[tex]\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})[/tex]
If you can answer that would be nice, thank you.
What type of angle is shown here?
Answer:
I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.
Evaluate the function for f(3).
f(x) = -3x - 8
April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job?
Answer:
she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.
Bentley took a ride on Rudolph’s back. At 8:00 pm, he counted 68 stars. At 10:00 pm, he counted twice as many stars. At 12:00 am, he counted five times more stars than his first count.
A. How many stars did Bentley count at 10:00 pm?
B. How many stars did Bentley count at 12:00 am?
Answer:
A. 136 stars
B. 340 stars
Answer:
At 10 pm he counted 136 stars and at 12 pm he counted 340
Step-by-step explanation:
for 10 pm:
68 x 2
for 12 pm:
68 x 5
Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?
Answer:
0.57 inches was left
Step-by-step explanation:
Here, we start by calculating the total length of the yam they have
Mathematically, that will be 0.37 + 0.45 = 0.82 inch
Now, to get what is remaining, we subtract what was borrowed
Mathematically, that is 0.82-0.25 = 0.57 inches
please help :{
Jannie has a budget of less than $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many can she buy without going over the budget? *
Answer: She can buy 6 shirts
Step-by-step explanation: You subtract 95 from 240, which gives you 145 so you do 145/22.5 which will give you 6.4444 but you can't buy .44 of a shirt so you round down and you get 6.
Identify the domain of the function shown in the graph.
Step-by-step explanation:
The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)
Matthew dropped a tennis ball off the roof of 100 foot tall building. The objects height (y) is modeled by the equation below. At what time (t) does the ball hit the ground? Round your answer to the nearest tenth
Answer:
2 seconds later
Step-by-step explanation:
Since the required equation is lacking, let the equation modeled by the height be expressed as y = -16t² + 64
The ball hits the ground at y =0. Substitute y = 0 into the expression and find t;
Since y = -16t² + 64
0 = -16t² + 64
16t² = 64
t² = 64/16
t² = 4
t = ±√4
t = 2 and -2
Time cannot be negative, hence the ball hits the ground 2 seconds later.
Note that the equation used was assumed. Similar solution can be applied for any given equation.
Distance for 3 minutes and at the speed of 17m/s
Answer: speed = 17m/s
time taken = 3min = 3 x 60 = 180 seconds (1min = 60sec)
distance = ST
= speed x time
= 17 x 180
= 3060m
pls mark as the brainliest
^_^
Help me with this please!!
Answer:
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Step-by-step explanation:
We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.
For example, Let suppose
segment LM = 30 unitssegment AB = 30 units segment BC = 30 unitsLM ≅ AB and AB ≅ BC, then LM ≅ BC
30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30
Thus, this validates the 'Transitive Property of Segment Congruence'.
Now Given
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Write an inequality that represents the graph.
Answer:
[tex]y - 2x - 1 = 0[/tex]
Step-by-step explanation:
the slope is :
[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]
at a pt on graph , when
[tex]x = 1 \\ y = 3 \\ [/tex]
therefore, coordinates are (1,3)
The equation is :
[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]
The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing the significance of the difference between the means is
Answer:
Independent-samples t-test.
Step-by-step explanation:
We are looking for the appropriate design for testing the significance of the difference between the means.
Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.
Thus, the test to be used here is Independent-samples t-test.
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
paving
6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.
Given :
A road 2 m broad surrounds a square park 4225 m² in area.
Size of marble is 25 cm by 8 cm.
Price of each marble is Rs 50.
To Find :
Total cost.
Solution :
Side of square road is :
[tex]A^2 = 4225\ m^2\\\\A = 65\ m[/tex]
Area of road = [tex]4\times 65\times 2 \ m^2=520\ m^2[/tex]
Number of marbles required is :
[tex]N = \dfrac{A}{a}\\\\N = \dfrac{520\times 10^4\ cm^2}{200\ cm^2}\\\\N = 26000[/tex]
It is given that price per marble is Rs 50.
So, total price required is :
[tex]P = Rs \ 50\times 26000 \\\\P = Rs \ 13,00,000[/tex]
Hence, this is the required solution.
What is an equation of the vertical line that passes through (−2, −9)?
x=?
Answer:
x = -2
Step-by-step explanation:
1 of 6
© As an estimation we are told 5 miles is 8 km.
Convert 25.9 miles to km.
Answer:
41.68201 km=25.9 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
5m=8k
25.9m = ?k
25.9/5 = 5.18
5.18 X 9 = 46.62
Therefore 25.9 miles is 46.62 km
Factor an 8 from the expression: 32 + 40b
Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% of the bill, how much of the total bill will patti pay
Answer:
17% of the bill
Step-by-step explanation:
Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.
35 + 48 = 83%
now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.
100% - 83% = 17%
So Patti is paying 17% of the bill
If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17
45 x 0.17 = 7.65
So Patti is paying 7 dollars and 65 cents
Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5
Answer:
1. 8,5a + 38
2. 5,5+b
Step-by-step explanation:
1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38
2. 8+b-2,5= 5,5+b
Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.
Answer:
Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."
Step-by-step explanation:
You need to write the rest yourself.
Find the explicit formula for 15, 12, 9, 6,
A. a= 3n - 18
B a, = -3n + 18
C a. = 3n + 18
D. a= -3n - 18
Answer:
D
Step-by-step explanation:
1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points
function. Use SQRT to indicate square root and use parenthesis for
fractions. Example: 9-1(x)=SQRT{(x-2)/3)-6 *
g(x) = 2(x – 3)2 + 4
Your answer
Answer:
g-1(x)=SQRT{(x-4)/2} + 4
Step-by-step explanation:
I assume that the 2 is the exponent so ^ represents exponent
We know your function is g(x)=2(x-3)^2+4
For inverse functions we swap x and y values, note g(x) is like the y value
Isolate for y
y=2(x-3)^2+4
x=2(y-3)^2+4
(x-4)/2 = (y-3)^2
SQRT{(x-4)/2} + 4 = y
Therefore g-1(x)=SQRT{(x-4)/2} + 4
Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)
Answer:
16.4
Step-by-step explanation:
4(5.5 + 6) - 3(6 + 4)
4(11.6) - 3(10)
46.4 - 30
16.4
Answer:
The answer is 16.
Step-by-step explanation:
4(x+6)−3(y+4)
=4x+24-3y-12
=4(5.5)+24-3(6)-12
=22+24-18-12
=46-30
=16
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Answer:
x=3.2
Step-by-step explanation:
8*0.4=3.2
We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that the perimeters of x is
x=3.2
From the question we are told
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Generally the equation for the the ratio is mathematically given as
2=x
and
5=8
Therefore
[tex]x=\frac{2*8}{5}[/tex]
x=3.2
Therefore
the perimeters of x is
x=3.2
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99-45f+36b in factored form
The ladder to the top of the super silde is 9 meters and the slide is 41 meters long how far is it from the bottom of the slide to the ladder?
Answer:
40 metres
Step-by-step explanation:
Pythagoras = [tex]\sqrt{41^{2} -9^{2} } =\sqrt{1600} =40[/tex]
Y-4=3(x - 1)
Identify slope
and what is an “anchor point”
I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!
Answer:
The answer is A
Step-by-step explanation:
A square has a perimeter of 100m. what is the length of each side?
Answer:
25m
Step-by-step explanation:
The perimeter of a square= 4L (L=length of the side)
so L=perimeter /4
=100/4=25m
