Answer:
x = -1 ; y=0
Step-by-step explanation:
We plug in the y, from the second equation, in the first one. By doing so we obtain:
-4x +3(x-1) = -2
-4x + 3x - 3 =-2
-x = 1
x= -1
Now we take this value and plug it in the second equation:
y = 1-1 = 0
Solution:
(-1,0)
Write the square root -10 in simplest radical form
Answer:
The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602
Step-by-step explanation:
hope this is correct
The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.
Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)
Answer:
Step-by-step explanation:
First we need to find the 20% discount.
$32.99 x .20 = $6.598
The 20% discount is $6.59
We subtract the discount from the original price:
$32.99 - $6.59 = $26.40 (This is price after the discount.)
Now we need to find the amount of the sales tax on the discounted price.
$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)
The total price Andre paid is the discounted price plus the sales tax.
$26.40 + $2.11 = $28.51
Total price paid: $28.51
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?
Answer:
213 crates
Step-by-step explanation:
There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.
The aquarium has 3 more yellow fish than green fish. 60% of the fish are yellow. How many green fish are in the aquarium?
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.
How do I multiply a fraction and a whole number? Please explain step by step to get marked
Any whole number can be written as a fraction. All we do is place the number over 1.
For example, the whole number 7 is the same as the fraction 7/1.
If we wanted to multiply the whole number 7 with the fraction 2/3 then...
[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]
In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
The volume of a rectangular prism can be computed using the formula V = lwh.
What is the width of a prism that has a volume of 1664 cubic cm a length of 16 cm and a height of 8 cm?
11 cm
13 cm
26 cm
768 cm
Answer:
13cm
Step-by-step explanation:
substitute values we have into the formula:
1664 = 16 x w x 8
rearrange:
1664/16×8 = w
which equals 13
Answer:
13
Step-by-step explanation: just took the test :)
Which theme is found in this story The Lucky Ticket
Answer:
In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.
please help I am so lost rn
(please put step by step if you can)
thanks!
Answer:
x=-5 and y= 4
Step-by-step explanation:
To eliminate x, add up both equations
9y= 36
divide both sides by 9
y=36/9
y= 8
To eliminate y, multiply the first equation by 8
-16x + 8y = 112
2x+ 8y= 22
Subtract equation 2 from equation 1
-18x = 90
Divide both sides by -18
x= 90/-18
x= -5
Find the equation for the circle with center (8,−8) and radius of length 2
Step-by-step explanation:
(x-8)²+(y--8)²=(2)²
x²-16x+64+y²+16y+64=4
x²+y²-16x+16y+124=0
Find the HCF of 150 and 250.
Answer:
It is 50
Step-by-step explanation:
Hope this helps
Answer:
50
Step-by-step explanation:
Need help find the value of x
Find the value of x need help
Answer:
Step-by-step explanation:
The supplement of 102 = 180 - 102 = 78
It is the interior angle of the given exterior angle.
It is also the enclosed angle of the isosceles triangle
Each of the other two angles = y
180 = 2*y + 78 Subtract 78 from both sides
180 - 78 = 2y Combine
102 = 2y Divide by 2
102 / 2 = y
51 = y
The smaller triangle on your right has 2 equal sides that are marked.
The angle you just found = <2 and the vertically opposite angle of the 51
So <2 = 51
h=-16t^2+72t+100 solve for t
Answer:0
Step-by-step explanation:
hey i'm in the six grade i'm not sure but pls try it
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?
If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
The given exponential equation is:
[tex]y=ab^x[/tex]
The function passes through the points (3, 25) and (8, 10)
Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]
[tex]25=ab^3[/tex]............................(1)
Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]
[tex]10=ab^8[/tex].............................(2)
Divide equation (2) by equation (1)
[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]
Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
Learn more on exponential functions here: https://brainly.com/question/12940982
Divide 7 divided by 3/5
Express your answer in simplest form.
Answer:
35/5
Step-by-step explanation:
7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3
A squares diagonal is 22. What is the length of each side?
Answer:
[tex]\sqrt{242}[/tex]
Rewrite (7/9) ^-1 without an exponent
Answer:
(9/7)^1
Step-by-step explanation:
(7/9)^-1
use rule a^-b = 1/a^b
som
1/(7/9)^1
(9/7)^1
Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Answer:
sin(72°)=x÷20ft.
sin(72°)×20ft.= 19ft 252 inches
the ladder reach 19ft 252 inches tall on the building.
Step-by-step explanation:
HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.
Answer:
Step-by-step explanation:
Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second is the unit rate for Shanya words/second is the unit rate for Tristan, words/second is the unit rate for Ebony, So. is the fastest typist
Unit rates is the rate of a quantity in comparison to 1 i.e. unit.
Based on the given parameters, Shanya is the fastest typist
From the question, the unit rates are given as:
James: 0.5 words per secondShanya = 3 words per secondsThe unit rates of Tristan and Ebony are not given.
So, we compare the rates of James and Shanya
3 words in a second is greater than 0.5 words in a second.
Hence, Shanya is the fastest typist
Read more about unit rates at:
https://brainly.com/question/11848573
Answer:
✔ 1.5
words/second is the unit rate for Tristan.
✔ 2
words/second is the unit rate for Ebony.
So,
✔ Shanya
is the fastest typist
thanks and 5 stars >:(
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?
a natural number multiplied by itself. is it possible for the result to have 66 as the last 2 digits.
yes or no that is all i need
please help me with this sample question
Answer:
Step-by-step explanation:
100y = 70.707070707...
y = 0.707070707...
100y - y = 70
99y = 70
y = 70/99
so probably your answer should be A at 0.7071
Which of the following best describes the slope of the line below?
Answer:
Negative
Step-by-step explanation:
The slope of the line is negative because when looking at the graph, you can see that the line starts in the 2nd quadrant and ends in the 4th.
About how many years ago did Jesus live
A.10,000
B. 5,000
C. 2,000
D. 1,000
Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago
1/2+2/3 divided by 1/6
(no links)
[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
can someone help me with this math problem
Answer:
It is congruent to the angle F, as they are similar triangles.