Answers
Firstly, write the first equaton.
2x-10y=-30
now, we can calculate the both the point of the equation by putting zero the value of x and y each at a time.
So, A(0, 3), and B(-15,0)
Now, second equation
now, we can calculate the both the point of the equation by putting zero the value of x and y each at a time.
So, C(0, 6), and D(15,0)
Now, put the value in the graph.
Now, the intersection point will give the value of x and y.
The value of the x=5, and y=4.
Related Questions
Find the quadratic polynomial that completes the factorization.
u^3 - 27 = (u - 3)
Answers
Answer:
\(u^2+3u+9\)
Step-by-step explanation:
The way to remember it, is like the square of a binomial, but all coefficients are 1.
So it's the square of the first term. The cross product. The square of the second. And you take only one of them.
In our situation is \(u^2+3u+9\)
If you want a way to find it, the way you think is it. It's a second degree polynomial, so \(au^2+bu+c\). Then you multiply the terms together, and you have to get terms removing in a way that you're left with just \(u^3-27\). With some number crunching you'll end up with \(a=1; b=3, c=9\)
Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answers
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
Write an expression that represents the area of only the red shaded region in terms of x
Answers
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part
The answer to this math question is?
Answers
Answer:
58 seconds
Step-by-step explanation:
Very very easy, no formulas or +,- required here.
You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.
So hence, your answer is 58 seconds!
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Select the correct answer. What is the coefficient of x2 in the expansion of (x + 2)3?
Answers
The coefficient of x^2 in the expansion of (x + 2)^3 is 6
How to determine the coefficient of x2From the question, we have the following parameters that can be used in our computation:
(x + 2)^3
Next, we expand the expression
So, we have the following representation
(x + 2)^3 = x^3 + 3x^2 * 2 + 3x * 2^2 + 2^3
Evaluate the expression
(x + 2)^3 = x^3 + 6x^2 + 12x + 8
The coefficient of x^2 in the expression x^3 + 6x^2 + 12x + 8 is 6
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if TS is a midsegment of PQR find TS
Answers
Answer:
B. 7
Step-by-step explanation:
Recall: according to thee Mid-segment Theorem of a triangle, the Mid-segment of a triangle is half the length of the base of the triangle
Base length of the traingle, RQ = 14 (given)
Mid-segment = TS
Therefore,
TS = ½(RQ)
Plug in the value
TS = ½(14)
TS = 7
For which value(s) of x will the relation not be a function? R:{( x+2 +16, 3), (21, 17)}
Answers
Answer:
I think the answers are x= -23, x=19
Step-by-step explanation:
|x+2| = 21
Because of the absolute value sign, you have 2 answers.
x+2=21, x=19
-x-2=21, x=-23
What is an equation of the line that passes through the points (6, 4) and(6,−6)?
Answers
Answer:
Step-by-step explanation:
What is the slope of the line in the graph
Answers
Answer:
1
Step-by-step explanation:
The line goes right 1 square, and goes up 1 square.
Answer:
Step-by-step explanation:
rise over run. this example is rising 1 and running 1. 1/1=1 the slope is 1
help pls! Given m||n, find the value of x.
(4x-6)
(8x-6)
Answers
Answer:
x-intercept(s): (32,0),(34,0)(32,0),(34,0)
y-intercept(s): (0,36)
Step-by-step explanation:
thats the full answer
Which improper fraction is equivalent to 15 3/7?105/345/3108/718/7
Answers
We can find an equivalent improper fraction to this mixed fraction as follows:
\(15\frac{3}{7}=15+\frac{3}{7}=\frac{3+7\cdot15}{7}=\frac{3+105}{7}=\frac{108}{7}\)To find this value, we need to sum the integer 15 and the fraction 3/7, since we can see that 15 3/7 is equal to 15 + 3/7. We needed to sum both values, and the resulting improper fraction was 108/7.
Therefore, the improper fraction that is equivalent to 15 3/7 is equal to 108/7 (third option).
Two figures are similar. The smaller figure has dimensions that are 3:4 the size of the largerfigure. If the area of the larger figure is 100 square units, what is the area of the smallerfigure?
Answers
Answer:
56.25
Explanation:
We are told that the side lengths of the smaller figure are 3/4 the length of the larger figure.
\(S_{small}=\frac{3}{4}\times S_{large}\)Now since the area is proportional to the equal of the side lengths, we have
\(A_{small}=S_{small}^2^\)\(A_{small}=(\frac{3}{4})^2\times S_{large}^2\)\(=A_{small}=(\frac{3}{4})^2\times A_{large}^2\)The last is true since A_large = S^2_large.
Now we are told that A_large = 100 square units; therefore,
\(A_{small}=(\frac{3}{4})^2\times100\)\(\Rightarrow A_{small}=\frac{9}{16}\times100\)which we evaluate to get
\(A_{small}=\frac{9}{16}\times100=56.25\)\(\boxed{A_{small}=56.25.}\)Hence, the area of the smaller figure is 56.25.
HELP!!!!!!!!!!!!!!!!!!!!!! Just look at image
Answers
the answer is E.) none of the above
Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is your decision if α = 0.01?
Select one:
a.
Reject the null hypothesis and conclude the newscast does not reach 41% of the audience.
b.
Fail to reject the alternate and conclude the newscast does not reach 41% of the audience.
c.
Reject the alternate and conclude the newscast reaches about 41% of the audience.
d.
Fail to reject the null hypothesis.
Answers
Based on the information given, the null hypothesis states that the newscast reaches 41% of the viewing audience, while the alternate hypothesis states that it does not reach 41% of the audience. So, the correct answer is d. Fail to reject the null hypothesis.
To determine the decision, we need to perform a hypothesis test using the given significance level α = 0.01. This significance level represents the maximum acceptable probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.
In the survey of 100 viewers, 36% indicated that they watch the late evening news on the local CBS station. To test the hypothesis, we can use a one-sample proportion test. We compare this sample proportion to the claimed 41% to see if there is a significant difference.
Using a statistical calculator or software, we calculate the p-value associated with the observed sample proportion. If this p-value is less than α (0.01), we reject the null hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.
Based on the decision criteria, if the p-value is less than 0.01, we would reject the null hypothesis and conclude that the newscast does not reach 41% of the audience. However, if the p-value is greater than or equal to 0.01, we would fail to reject the null hypothesis. To summarize, the correct decision, given α = 0.01, would be d. Fail to reject the null hypothesis.
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Suppose that the probability that the dart hit the area between the square of side length 14 and the square of side length 16
Answers
The probability of the area hit by the dart between the bigger square and the smaller square is equal to 0.7656.
As given in the question,
Total number of squares present = 2
Side length of the bigger square = 16 units
Side length of the smaller square = 14 units
Area of the bigger square = ( side length )²
= ( 16 )²
= 256 square units
Area of the smaller square = ( side length )²
= ( 14 )²
= 196 square units
Here favorable outcome is represented by small square and total outcome is represented by bigger square
Probability that the given dart hit the area between the square is
= 196 / 256
= 49/64
= 0.765625
≈ 0.7656
Therefore, the probability of the dart hitting the area formed by bigger square and smaller square is equal to 0.7656.
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Choose the best graph that represents the linear equation:
-x = 2y + 1
Answers
The line slants downward from left to right, indicating that as x increases, y decreases.
The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1
Dividing both sides by 2:y = (-1/2)x - 1/2
The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).
Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.
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Please help me i will give you 50 points if you do
Answers
Answer:
6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .
24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .
(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .
Step-by-step explanation:
Hope it was helpful dear , good luck ^^
how do you get the 40-4=36units, can you explain
Answers
Find the greatest common factor of 4y' and
and 11y4.
Answers
Answer:
the greatest common factor of 4y' and
and 11y4. is y
What is the equation of the following graph?
Answers
Answer:
y=0.5x + 5
Step-by-step explanation:
The points are (0,5) and (-10,0)
to find the slope do
0-5/-10-0 = 5/10 = 1/2 = 0.5
next plug one of the points into point slope formula
y-y1=m(x-x1)
lets use the point (-10,0)
y1=0
x1= -10
m= 0.5
y-0=0.5(x- -10)
y = 0.5(x+10)
distribute the 0.5
y=0.5x+5
Corey and Braden spent $4.75 on supplies for their hot chocolate shop. On the day of their hot chocolate sale, they sold 8 small cups of hot chocolate for $1.75 each, 13 large cups of hot chocolate at $2.00 each, and 12 mini candy canes for $0.25 each. Corey and Braden split their profit in three – a third for Corey, a third for Braden, and a third for Corey and Braden to invest in their hot chocolate shop.
How much money did they make on large cups?
Answers
The amount of money they make (the revenue) from sale of the large cups of hot chocolate is $26.00
What is a business revenue?A revenue is the income the business generates before the expenses and costs are subtracted.
The amount Corey and Braden spent on supplies = $4.75
Number of small cups of hot chocolate sold = 8
Price of each of the small cups of chocolate = $1.75
Number of large cups of hot chocolate sold = 13
Price of each large cup of hot chocolate = $2.00
Number of mini candy canes sold = 12
Price of each mini candy cane = $0.25
The amount of money made from the sale of the large cups, is the revenue from the sale of the large cups of chocolate, and can be found by the multiplication of the number of large cups sold and the price of each large cup as follows;
Let \(R_L\) represent the amount of money made from the sale of the large cups, we get; \(R_L\) = 13 × $2.00 = $26.00
The amount made from the sale of the large cups of chocolate is $26.00Learn more about profits, costs and revenue here:
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how do I find x? (Note: read the rest of the question in the picture.)
Answers
Given, both the angles are congruent. So we simply equate the expressions for the angles and solve for x.
Shown below:
\(\begin{gathered} 8x-34=5x+2 \\ 8x-5x=34+2 \\ 3x=36 \\ x=\frac{36}{3} \\ x=12 \end{gathered}\)A spinner with 8 equally sized slices has 8 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Answers
Answer: 8/8
Step-by-step explanation:
It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.
write 5 divided by 8 on three different ways
Answers
Answer:
5 divide by 8
5/8
5÷8
Five divide by eight
5 divided by 8 into three different forms 5/8, (5 ÷ 8), and 5×(1/8).
What is a fraction?A fraction can be written in the form p/q, where q ≠ 0.
There are two types of fractions one is a proper fraction and another one is an improper fraction. In a proper fraction, the numerator is smaller than the denominator and in an improper fraction, the numerator is greater than the denominator.
5 divided by 8 in three different ways can be written as,
Fraction form where the divisor will be on the denominator and the dividend will be on the numerator as 5/8.
The second form is the conventional divisional form which is (5 ÷ 8).
The third form is when we flip the divisor and multiply it with the dividend 5×1/8.
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This is difficult for me anyone know ?
Answers
Which expression is equivalent to..?
Answers
The equivalent expression is the one in the last option:
\(\sqrt[10]{y}\)
Which expression is equivalent to the given one?Here we want to find an expression equivalent to:
\((\frac{1}{\sqrt{y} } )^{-1/5}\)
Remember the two rules for exponents that we need to use here:
\(x^{-n} = (1/x)^n\)
\(x^{1/n} = \sqrt[n]{x}\)
Using the first rule, we can rewrite our expression as:
\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5}\)
Now we can rewrite the root of a root to get:
\((\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5} = \sqrt[5]{\sqrt{y} } = \sqrt[10]{y}\)
Where in the last step we just multiplied the exponents for the roots, we can see that the correct option is the last one.
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Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Answers
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Ms. McClain conducted an experiment
with a 6-sided number cube. The table
shows the number of times each number
landed:
(I'll give brainlist)
Answers
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
What is the value of n 8n-5=139
Answers
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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5/6 divided by 3/4
Thanks for any help
Answers
Answer:
20/18
Step-by-step explanation:
Answer:10/9 exact form mixed # 1 1/9
Step-by-step explanation:reduce the expression, if possible, by cancelling the common factors.