Answer:
[tex]x=3,\:y=7[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}8x+3y=45\\ 2x+3y=27\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{45-3y}{8}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{45-3y}{8}+3y=27\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\frac{45+9y}{4}=27\end{bmatrix}[/tex]
[tex]y=7[/tex]
[tex]\mathrm{For\:}x=\frac{45-3y}{8}[/tex]
[tex]\mathrm{Substitute\:}y=7[/tex]
[tex]x=\frac{45-3\cdot \:7}{8}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:solutions\:are}:[/tex]
[tex]x=3,\:y=7[/tex]
plz help! what is the end of behavior of f(x)?
Answer:
B
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.
Let's take a look at each end.
As x approaches negative infinity:
As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.
Therefore, as [tex]x\rightarrow-\infty[/tex], our function f(x) is increasing and increasing up towards positive infinity.
Therefore, the end behavior at the left will be:
[tex]\text{As } x\rightarrow-\infty, f(x)\rightarrow\infty[/tex]
As x approaches (positive) infinity:
As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.
Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) also approaches positive infinity.
Therefore, the end behavior at the right will be:
[tex]\text{As } x\rightarrow \infty, f(x)\rightarrow \infty[/tex]
Therefore, our answer is B.
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg
Answer: sqrt(155)
Step-by-step explanation:
Segment AB is tangent to C. Find AB.
what does AB =
Round to the nearest tenth as needed
the actual height of a drinking cup is 9cm. The height of the cup in a photo taken is 1.5cm. Determine the scale factor of the reduction
Step-by-step explanation:
1.5 cm in the picture is 9 cm in reality.
1.5 × f = 9
f = 9/1.5 = 6
so, the scale factor of the picture is 1/6 of reality.
Solve the equation
2x2+8x -1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ( factor out 2 from the first two terms )
2(x² + 4x) = 1
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )
x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\frac{3}{\sqrt{2} }[/tex]
Then
x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )
x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
4 1/2 percent inch at the other side
120 as a product of prime
Answer:
Your answer is:
The Prime: 2 x 2 x 2 x 3 x 5
Exponential: 2^3 x 3^1 x 5^1
CSV: 2, 2, 2, 3, 5
Step-by-step explanation:
Hope this helped : )
17 is a prime number. What can you conclude from this?
AIt can be divided evenly by 2 incorrect answer
BIt can't be used as the denominator of a fraction incorrect answer
CIt can't be multiplied by any other number incorrect answer
DIts only factors are 1 and itself incorrect answer
Its only factors are 1 and itself
Explanation:
There's not much more to mention since choice D perfectly describes what it means to be prime.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...
There are infinitely many prime numbers.
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 2/3?
Answer:
y=2/3x+6
Step-by-step explanation:
The equation of a line is y=mx+b
We can plug in our givens
4=2/3*-3+b
4=-2+b
6=b
y-intercept is going to be 6
So, y=2/3x+6
Please someone I need a clear answer for this question
Answer:
I think it is a function
Step-by-step explanation:
Answer:
It is NOT a function.
Each input is paired with EXACTLY ONE output.
Jenna received the following scores on five history tests. 69 70 85 97 97 Suppose Jenna receives a score of 69 on her next test. How does the median change? Please tell me I need the answer
Answer: The median changes from 83.6 to 81.2
Step-by-step explanation:
69+70+85+97+97= 418/5 = 83.6
69+70+85+97+97+69 = 487/6 = 81.2
ILL GIVE 40 POINTS!!
Which of the following numbers can be expressed as a decimal that terminates?
seven over four, five over nine, three over eight, two over three
seven over four and three over eight
five over nine and two over three
seven over four and five over nine
three over eight and two over three
Answer:
1.First = Seven over four and three over eight
because The denominators of 9 and 3 were not divisible by any of the tenths, hundredths, thousandths, etc.
Step-by-step explanation:
A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..
Answer:
Seven over Four is one of the best answers
help me answer this i need it
Answer:
0.25 cm
Step-by-step explanation:
24÷0.60 = 40
doneeee..
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
The probability that we got is 35%
Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does when sleeping. She burns twice as many calories each hour when she runs than when she plays basketball. How many calories does Shannon burn when she runs for 1 hour? Enter the correct number in the box.
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
If two parallel lines are cut by a transversal, which angle pairs are NOT congruent?
Group of answer choices
alternate interior angles
alternate exterior angles
corresponding angles
consecutive (same side) angles
Answer:
corresponding anglesHope this helps
Answer:
[tex] \bold \red{correct \: answer}[/tex]
consecutive (same side )angles
Step-by-step explanation:
alternative exterior and interior angles and corresponding angles are equal and congruent.
HELP ASAP
A system of equations is
given below.
y=-2x+ 1/4 and y=-2x- 1/4
Which of the following statements best describes the two lines?
1)They have the same slope but different y-intercepts, so they have no solution.
2)They have the same slope but different y-intercepts, so they have one solution.
3)They have different slopes but the same y-intercept, so they have no solution.
4)They have different slopes but the same y-intercept, so they have one solution.
Answer:
Option 1
Step-by-step explanation:
They have the same slope but different y-intercepts, so they have no solution.
Answer: They have the same slope but different y-intercepts, so they have no solution.
Step-by-step explanation:
Qu
What is the slope of y = 52 – 1?
Answer:
Is it 0 ? im not sure
Step-by-step explanation:
can I get a answer within 10 min becoz it's very urgent
Answer:
4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)
Step-by-step explanation:
Helpppp please homework for Geometry
Answer:
2,304
Step-by-step explanation:
Formula:
LxWxH
18x16x8
2,304
The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game
reduced?
Answer:
25% decrease
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
what is the range of y= -x2+15
Answer:
( − ∞ , 15 ] , { y | y ≤ 15 }
is the range
What is the GCF of 6n-8
Answer:
GCF = 2
Step-by-step explanation:
6n - 8
consider factors of 6 and 8
factors of 6 are 1, 2, 3, 6
factors of 8 are 1, 2, 4, 8
the GCF is 2
\
Answer: 2 is correct
Step-by-step explanation:
consider the following diagram
solve for x and y 7x + 5y = 12 and 7y - 2x = 11
your answer is 3/2=1.5
Kelly buys 3.5 gallons of gas.the gas cost $3.74 per gallon. Kelly wants to find the total cost of the gas. What is the total cost of the gas Kelly buys? HELP ME PLS GUYS AND FAST!!!
Answer:
$13.09
Step-by-step explanation:
If Kelly buys 3.5 gallons of gas, we can multiple each gallon by the price of the gas since the cost is given to us price per gallon.
3.5 gallons * $3.74 = $13.09
WILL GIVE BRAINLIEST!!!!
Explain what “negative linear” means.
Answer:
If the slope is negative, then there is a negative linear relationship, as one increases the other variable or unknown "number" or wtvr you want to call it decreases. Sorry if this doesnt help im not too good at math.
Step-by-step explanation:
YALL HELP PLEASE PLEASE!!
If C=3m^2 +4m+5 and D =3m +7, find expression that equal 2C +2D in standard form
Answer:
2(3m^2 +4m+5)=2(3m+7)
Step-by-step explanation:
FInd the area of the polygon
pls help
Answer:
202.5mm^2
Step-by-step explanation:
15x9= 135mm^2 (area of rectangle)
15-9=6
9÷2= 4.5
4.5x15= 67.5mm^2 (area of triangle)
135+67.5= 202.5mm^2 (total area)
answer is 202.5mm^2
Susan joined a video rental club. She paid an initiation fee of $12.75, and it cost
$0.75 per video that she rented. One month, Susan paid a total $105.75 to rent
(v) videos. Write an equation that represents this situation.
Answer:
(v)= 0.75+12.75
Step-by-step explanation:
if the cost to rent a video game is 0.75 then you put the .75 after the (v) because each video costs 0.75 to rent, then it says she paid another cost to an initiation fee, so you then add that cost onto the rent fee.