35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answers
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
Related Questions
PLS HELP!
Match each division expression to its quotient.
Answers
B equals to 3
A equals to -2
C equals to -3
Answer:
3 3/7 divided by 1 1/7 = 3
16/(-8) = -2
2 2/5 divided by 4/5 = -3
-12.2/(-6.1) = 2
Step-by-step explanation:
Turn the mixed numbers into improper fractions and work from there. Then, make sure to find the reciprocal of the second fraction/number. For example,
3 3/7 = 24/7
1 1/7 = 8/7
24/7 (7/8) = 3
Hope this helped, but if you need more help then make sure to communicate with your teacher. This will help you out in the future.
Call the actor spam her she blocked me 3053035819 call her name lauren.
Answers
Answer:
so, its 2.34 to the square root of 163
Step-by-step explanation:
you need to find the angle congruent to side 'actor'
times that by your credit card and divide by lauren
hope i get brainliest!!
Find the slope of the line
Answers
Answer:
-2
Step-by-step explanation:
Rise 2
___ ___
Run -1
which equals -2
Alex constructs a scatter plot. He realizes that he needs to add one more point, which will be an outlier. Which of the ordered pairs does he still need to plot? (14,2) (2,12) (18,10) (10,6)
Answers
Answer:
(14,2)
Step-by-step explanation:
Have took the test
(14,2) is an outlier of the constructed scatter plot.
What is scatter plot?A scatter plot is a set of points plotted on a horizontal and vertical axes. Scatter plots are important in statistics because they can show the extent of correlation, if any, between the values of observed quantities or phenomena (called variables).
Given that, Alex constructs a scatter plot. He realizes that he needs to add one more point,
As we know If one point of a scatter plot is farther from the regression line than some other point, then the scatter plot has at least one outlier. If a number of points are the same farthest distance from the regression line, then all these points are outliers.
Here, When we will plot each of the points, and we will find that (14, 2) is the furthest away from the scatter
Hence, (14,2) is an outlier of the constructed scatter plot.
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Please ANSWER THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answers
Answer: 4.3
Step-by-step explanation: To find the range you have to subtract the highest number by the lowest number. So you'd subtract 2.6 by -1.7. And since -1.7 is already a negative number, it would get turned into a positive.
PLZ HELP U GET POINTS AND I WILL GIVE YOU BRAINLIEST
Answers
Answer: A) 13/5
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator. 13/5
13/5 = 2.6
write [tex]2\frac{2}{3}[/tex] as a fraction
[tex]2\frac{2}{3}[/tex] = 8/3
Convert the fraction to a decimal by dividing the numerator by the denominator. 8/3
2.66666666667
13/5 < [tex]2\frac{2}{3}[/tex]
The left side2.6 is less than the right side 2.66666666667, which means that the given statement is true.
Find the perimeter of the triangle
Answers
Answer:
8 feet
Step-by-step explanation:
hope it helps! :)
Answer:
8 feet
Step-by-step explanation:
When calculating mixed numbers, I like to make all the numbers to improper fractions with the same denominators first before evaluating.
Perimeter of triangle = 2[tex]\frac{3}{8}[/tex] + 2[tex]\frac{3}{8}[/tex] + 3[tex]\frac{1}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{26}{8}[/tex]
= [tex]\frac{64}{8}[/tex]
= 8 feet
x-13<-5 solve the inequality and graph the solution
Answers
Answer: x<8
Step-by-step explanation: x−13+13<−5+13
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
3•(2) -5
6-5
1
The answer is 1!
Two sides of a triangle can be represented by the expressions 3x+8 and 2x2-4x+5.If the perimeter of the triangle is 4x2+2x-10, what expression can be used to represent the third side?
Answers
Answer:
s = 2x²+3x-23
Step-by-step explanation:
Given that,
First side of a triangle = 3x+8
Second side of a triangle = 2x²-4x+5
The perimeter of the triangle = 4x²+2x-10
We need to find the expression for the third side. Let the third side b s.
Perimeter = Sum of all sides
4x²+2x-10 = 3x+8 + 2x²-4x+5 +s
4x²+2x-10 = 2x²-x+13+s
s = 4x²+2x-10- (2x²-x+13)
= 2x²+3x-23
So, the third side will be 2x²+3x-23.
Use the diagram to the right to complete the statement. If m
m
Answers
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $2 per day. The fee for a game booth is $50 plus $3 per day. The fair lasts for n days, and all the booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the company is paid.
Answers
Answer:
2,250 + 95n
Step-by-step explanation:
Cost of a food booth = 100 + 2n
Cost of 10 food booth = 10(100 + 2n)
= 1,000 + 20n
Cost of a game booth = 50 + 3n
Cost of 25 game booth = 25(50 + 3n)
= 1,250 + 75n
Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth
= (1,000 + 20n) + (1,250 + 75n)
= 1,000 + 20n + 1,250 + 75n
= 1,000 + 1,250 + 20n + 75n
= 2,250 + 95n
Total amount earned by the company = 2,250 + 95n
Simplify:
√27x^2y^2
A) 27xy
B) 3xy
C) 3xy√3
D) xy√27
Answers
Answer:
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
Step-by-step explanation:
Given the expression
[tex]\sqrt{27x^2y^2}[/tex]
simplifying the expression
[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}x\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}xy[/tex]
[tex]=xy\sqrt{3^3}[/tex]
[tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=3xy\:\sqrt{3}[/tex]
Therefore,
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
Which expression is equivalent to
(5^-2)(5^-1)?
Answers
Answer:
5^-2.5^-1
5^-2-1
5^-3
1/125
pls help me asap-
what is the length of segment FE?
Answers
Answer:
FE=√210=14.49.
Step-by-step explanation:
In right triangle EFH,angle EFH is 90°and FG is perpendicular to EH.
Therefore,
FE²= EG.EH
FE²=10×(10+11)
=10×21
FE²=210
FE= √210
Barbara has b bags of rice that each contain 4 pounds of rice. She has another bag that has 3 pounds of rice. Write an algebraic expression that shows how many pounds of rice Barbara has.
Answers
Answer:
Emani call me after before we go back to school i got 100 on it
Step-by-step explanation:
m + 7 ≥ 20, if m = 11
Answers
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
Mhanifa please answer this question about lines
Answers
Which graph is used to model piece rate pay?
A. Piecewise
B. Piece rate
C. Scatterplot
D. Quadratic equation
Answers
Answer:
C
Step-by-step explanation:
The equation of graph is solved and graph that is used to model piece rate pay is the "piece rate" graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
The graph that is used to model piece rate pay is the "piece rate" graph. The piece rate graph shows how much money is earned for each unit of work completed. It is a linear graph with a slope that represents the rate of pay per unit of work completed.
The other graphs mentioned are used for different purposes:
A piecewise graph is used to represent a function that is defined by multiple equations on different intervals.
Hence , the graph is solved
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What is the greatest common factor of 3 and 6? O3 O 6 O 18 O 36
Answers
Answer:
3 I believe
Step-by-step explanation:
The factors of 3 are: 1, 3
The factors of 6 are: 1, 2, 3, 6
Then the greatest common factor is 3.
Answer:
3 is the great common factor
Step-by-step explanation:
factors:
3- 1,3
6- 1,2,3,6
hope it helps:))
what does mujer culona
mean
Answers
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year?
Answers
Answer:
System of Equations is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
Step-by-step explanation:
Let us represent
The number of Cold lunch = c
The number of Hot lunch = h
The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.
Hence:
c = 2h - 1
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.
Hence:
$1.80 × c + $3.00 × h = $288.60
1.8c + 3h = 288.60....Equation 2
The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Let h represents hot lunch, and c represents cold lunch.
So, we have:
[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{c = 2h - 1}[/tex]
Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]
Expand
[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]
Collect like terms
[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]
[tex]\mathbf{6.60h = 290.4}[/tex]
Divide both sides by 6.60
[tex]\mathbf{h = 44}[/tex]
Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]
[tex]\mathbf{c = 2(44) - 1}[/tex]
[tex]\mathbf{c = 83}[/tex]
Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Read more about simultaneous equations at:
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Solve for x: x - 2 > 2x + 12.
Ox> 14
0x< 14
Ox>-14
Ox<-14
Answers
Answer:
Solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality: [tex]x - 2 > 2x + 12[/tex] and find value of x
Solving the inequality
[tex]x - 2 > 2x + 12[/tex]
First of all, we will add 2 on both sides
[tex]x - 2+2 > 2x +12 +2\\x>2x+14[/tex]
Now, add -2x on both sides of inequality
[tex]x-2x>2x+14-2x\\-x>14[/tex]
Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <
[tex]-1*-x<14*-1\\x<-14[/tex]
So, solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2
Answers
Answer: 4x-y+2=0 i think
Step-by-step explanation
Mary plants roses in 14 of her garden. She also plants some tulips in her garden. She has 112 of the garden left to plant more flowers. What fraction of Mary's garden has tulips?
Answers
Answer:
112/126 = 8/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
yur gay
A seahorse can swim at a rate of 48 feet per hour. Convert this speed to inches
per minute.
Answers
Answer:
The Seahorse moves at 576 inches per minute
Step-by-step explanation:
if the seahorse moves at 48 feet per hour, all you would do is multiple the 48 feet with 12 inches to convert from feet to inches. So the answer is 576 inches per minute.
Answer:
2.43
Step-by-step explanation:
because thats the rogbt answer ofr me
!!Pleas help me!! ASAP!! I will give you BRAINLYEST!!
A 25 - cent coin has a circumference of about 76 milimeters. Which
statement about the coin is true?
A. The diameter is 2 times the cricumference
B. The ratio of the circumference to the diameter is about 3.14
C. The diameter is about 3.14(76) milimeters
D. The diameter divided by the circumference is about 3.14
Make sure to explain your reasoning.
!!pls help me!! :(
Answers
Answer:
Step-by-step explanation:
the circumference is
C=2*r*3.14=3.14*d
the below choices are the only ones that are valid
c/3.14=d
C/d=3.14
the answer B
Solve the equation using subtraction,
3x-4y=-7
3x+y=13
Answers
Answer:
Step-by-step explanation:
first question is -1
and i think the sec option is 13/3+y/3 i think im wrong on the sec option
You have five red blocks, three yellow blocks and 2 green blocks in a paper bag. What is the probability that you reach in the bag and pick out a yellow block, put it aside and then reach in a pick out a green block?
Answers
Answer:
1/15
Step-by-step explanation:
10 blocks altogether
P(Y,G) = 3/10 x 2/9
Answer:1/15
Step-by-step explanation:
3x - 4y = 44
can someone help me get Y by it self
Answers
Answer:
y= 3 /4 x−11
Step-by-step explanation:
3x - 4y = 44
Add -3x to both sides.
3x−4y+−3x=44+−3x
−4y=−3x+44
Divide both sides by -4.
−4y /−4 = (−3x+44 )/−4
y= 3 /4 x−11