The quadratic equation y = 2(x – 2)2 + 2 with no real solution is graphed. Which value of k will change the function to one with exactly one solution?
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On the attached diagram red curve is the graph of the quadratic function [tex]y = 2(x - 2)^2 + 2.[/tex] As you can see this graph has no intersections with x-axis, this means that there are no solutions.
If you translate red curve 2 units down, you obtaine the graph (blue curve) of the function [tex]y = 2(x - 2)^2[/tex] and this graph has one common point with x-axis. This means that there will be exactly one solution.
Answer: k=-2 (you add -2 to the function [tex]y = 2(x - 2)^2 + 2[/tex] to obtain the function [tex]y = 2(x - 2)^2[/tex]).
Answer: 0 ZERO
Step-by-step explanation:
Related Questions
simplify 4 (-w + 8) by distributing.
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you multiply 4 and -w, 4 and 8.
so
-4w + 32
how to we get radius
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What is the slope of the line that goes through (2, 5) and (-6, -2) ?
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slope = 7/8
Explanation:
Slope of the line can be calculated using the following equation:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)
Substitute with the points in the above equation to get the slope as follows:
slope = [tex] \frac{-2 - 5}{-6 - 2} [/tex] = 7/8
Hope this helps :)
Use the information below to find EF such that triangle ABC is congruent to triangle DEF
AB=36 BC=24 DE=48 m<B=110 m<E=110 EF=?
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notice, the green numbers are the given ones, and the red ones are the implicit ones.
since we know both triangles are congruent, then all their sides as well as angles are congruent as well.
so if triangle ABC has sides of 24 and 36, so does triangle DEF, and if triangle DEF has a side of 48, so does triangle ABC.
F = {(-1, 2), (3, 2), (4, 2), (0, 2)} Is F a function and why/why not?
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The bookstore marked some notepads down from ???$ 3.00 but still kept the price over ???$ 2.00. It sold all of them. The total amount of money from the sale of the pads was ???$ 27.95. How many notepads were??? sold? What was the price of each??? notepad?
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I tried numbers greater than 10 using a trial and error strategy until I got to 13 notebooks sold and found that it $27.95 was divisible by 13 to get an answer between $2 and $3 ($2.15 exactly).
PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Exponential Growth/Decay Function
The value of a car is $21,500. It loses 12% of its value every year.
(a) Write a function that represents the value y (in dollars) of the car after x years. (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)
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For the number -5/8 name the opposite, reciprocal and absolute value
opposite:
Reciprocal:
Absolute value:
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reciprocal- -8/5
absolute value- 5/8
Solve this derivative using the quotient rule
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A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs
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x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
Find the points on the surface 4 x^2 + 4 y^2 + 1 z^2 = 1 at which the tangent plane is parallel to the plane -4 x - 4 y + 4 z = -8.
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How do you do question number 5? If you do it can you please explain how to do it? Thank you!!
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H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
The solution is -18.
Answer:
F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
The solution is -18.F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
Step-by-step explanation:
Ms. Romero is buying a scrapbook and sheets of designer paper. She has $30 and needs at least $15.75 to buy the scrapbook. Each sheet of paper costs $0.29. 30−0.29x≥15.75 to find the number of sheets of paper, x, she can buy. How many sheets of paper can she buy?
Answers
solving inequalities is similar to solving unknowns in an equation, the same set of steps are followed, except that x could be equal to the final answer or more or less than that value depending on the sign .
30−0.29x ≥ 15.75
-0.29x ≥ -14.25
when dividing by a negative number (-0.29) the inequality side should change its direction
In this case ≥ changes to ≤
x ≤ -14.25/-0.29
x ≤ 49.13
since they are asking for number of sheets of paper it should be the nearest whole number that is less than or equal to 49.13
since 49.13 is not a whole number we should round it off to the nearest whole number that is less than that.
x ≤ 49
she can buy maximum 49 sheets of paper and have enough money to buy the scrapbook.
49 x $ 0.29 + 15.75 = 14.21 + 15.75 = $29.96
Ms. Romero can buy up to 49 sheets of paper.
To determine the number of sheets of paper \( x \) that Ms. Romero can buy, we start with the inequality:
[tex]\[ 30 - 0.29x \geq 15.75 \][/tex]
First, isolate the term involving \( x \) by subtracting 15.75 from both sides:
[tex]\[ 30 - 15.75 \geq 0.29x \][/tex]
Simplify the left side:
[tex]\[ 14.25 \geq 0.29x \][/tex]
Next, solve for \( x \) by dividing both sides by 0.29:
[tex]\[ \frac{14.25}{0.29} \geq x \][/tex]
Calculate the value:
[tex]\[ x \leq \frac{14.25}{0.29} \]\[ x \leq 49.13793103448276 \][/tex]
Since \( x \) must be a whole number, we take the greatest integer less than or equal to 49.13793103448276, which is 49. Therefore, the maximum number of sheets of paper she can buy is:
[tex]\[ x = 49 \][/tex]
Thus, Ms. Romero can buy up to 49 sheets of paper.
during the rice of industrialization in the 1840s the majority of immigrants come from
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Hope this helps!
A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California amd bow many are in Nevada?
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There are 18 stores in California.
30 - 18 = 12
Theee are 12 stores in Nevada.
Answer:
18
Step-by-step explanation:
Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equation y = 5x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance. Which statement best describes the graphs of their earnings for one week?
Answers
The Correct statement are:
Joan has more money in 10 weeks
Their y-intercepts are the same
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Joan:
Joan receives a $7 weekly allowance plus $6 for each hour
so, the Equation for Joan Earning, y= 6x+ 7
Ernie Earning y = 5x + 7
So, the slope for Joan is 7 and Ernie's slope is 7.
Then, the Correct statement is:
Joan has more money in 10 weeks
Their y-intercepts are the same
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ3
Volume is always measured in square units. True False
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The answer is option B "false".
Reason:
The answer is false because the volume can be measure in anyway for example: feet, yards.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
This statement would be know to be (false).
Volume is something that is used to help add what is already measured. Volume can be measured in all different aspects, not only using squared units. This would be false because volume has to ability to be measure in any way that it would want to, but it would only have to complete its purpose, to add what the object is.
Your answer: False.
Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?
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To find the x-intercept means to find the place where the line intersects the x-axis. If the line is intersecting the x-axis, then the point where it intersects the x-axis must be a place where y = 0. If y didn't equal 0, then that point wouldn't be on the x-axis.
So, to find the x-intercept, we set y in the given equation to 0, like this:
[tex]3y + 4x = 8 [/tex]
[tex]3(0) + 4x = 8[/tex]
[tex]4x = 8[/tex]
[tex]x = \frac{8}{4}[/tex]
[tex]x=2[/tex]
So, [tex]x=2[/tex]. We assumed that [tex]y=0[/tex] to find the x-intercept at the beginning. Then, our ordered pair in the usual order [tex](x,y)[/tex] is [tex](0,2)[/tex]. You can see this is correct by looking at the attached graph.
Final answer:
To find the x-intercept for the equation 3y + 4x = 8, set y to 0 and solve for x, which results in x = 2. Thus, the ordered pair for the x-intercept is (2, 0).
Explanation:
The question is asking to determine the x-intercept of the linear equation 3y + 4x = 8. The x-intercept occurs where the graph of the equation crosses the x-axis, which is when y is equal to 0. To find the x-intercept, you set y to 0 and solve for x:
3(0) + 4x = 8
4x = 8
x = 8/4
x = 2
Therefore, the ordered pair that represents the x-intercept is (2, 0). This is the point on the graph where the line crosses the x-axis.
Jake needs to put gas in the delivery van. Regular gasoline is $3.20 per gallon. He only had a $ 20 bill on him. How many gallons can he buy
Answers
The answer is "6 gallons".
Reason:
Just divide 20 by 3.20.....
20/3.20=6.25
Round to the nearest whole number will be 6.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Expand the log as a sun or difference
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= ((1/2)*2*log(3) -4*log(x) -1/3*log(3))/log(a)
= ((2/3)*log(3) -4*log(x))/log(a)
= [tex]\frac{2}{3}\log_a{(3)}-4\log_a{(x)}[/tex]
[tex]\bf log_a\left( \cfrac{9^{\frac{1}{2}}}{x^43^{\frac{1}{3}}} \right)\implies log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^43^{\frac{1}{3}} \right) \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-\left[ log_a\left( x^4 \right)+log_a\left( 3^{\frac{1}{3}} \right) \right] \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^4 \right)-log_a\left( 3^{\frac{1}{3}} \right)\\\\\\ \cfrac{1}{2}log_a(9)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
or more expanded so as
[tex]\bf \cfrac{1}{2}log_a(3^2)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ \cfrac{1}{2}\cdot 2log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
geometric mean for 12 and 3
Answers
answer
Geometric mean for 12 and 3 = 6
To find the geometric mean, you multiply the numbers and then find the square root.
12*3= 36
The square root of 36 is 6.
The geometric mean is 6.
I hope this helps!
~kaikers
what does x=? I know it is vertical
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7x + x + 20 = 180
8x = 160
x = 20
We know a vertical line = 180 degrees
x + 20 + 7x = 180
we can simplify this
20 + 8x = 180
To solve this, we can work backwards.
180 - 20 = 160
8x = 160
160/8 = 20
x = 20 degrees
Hope I helped!
Let me know if you need anything else!
~ Zoe
Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?
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Richard's items cost $73.37 before sales tax is added.
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answers
Question
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answer:
10.50c + a
PLZ GIVE BRAINLYEST!!!
Multiply x^2-8x+15/3x * 8x/x-3
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1. First, you should apply the dstributive property:
=(x²-8x+15/3x)(8x/x-3)
=(8x³-64x²+120x)/3x(x-3)
2. As you can see, the common factor in the numerator is: "8x". So, you have:
=8x(x²-8x+15)/3x(x-3)
3. Then, when you simplify, you obtain:
=8(x²-8x+15)/3(x-3)
Therefore, the solution is: 8(x²-8x+15)/3(x-3)
0.5x+78.2=287 whats the value of x
Answers
-78.2 -78.2 SUBTRACT 78.2
0.5x=208.8
/.5 /.5 DIVIDE BY .5
x=417.6 ANSWER
Write equations for the horizontal and vertical lines passing through the point (5, -6)
Horizontal line:
Vertical line:
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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
A; an = 2 • 3n - 1
B; an = 2 • (-3)n - 1
C; an = 2 • 3n
D; an = 2 • (-3)n + 1
Answers
r^3 = 162/-6 = -27
so r = -3
a1 * r-3 = -6 so first term = 2
an = 2. (-3)^(n-1) Answer
Its B
The answer is B, I have just confirmed it.
Giving brainiest+points need explanation on this one my answer is 25 is it right?
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which collection of three side lengths will not form a triangle
6, 10 18
10, 12 ,15
10, 15, 6
10, 18 ,12 please tell me how you figured it out.
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lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.
A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle
B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle
C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle
D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle
correct answer is 6,10 and 18 these cannot form a triangle
To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. By applying this theorem to each collection of side lengths given, we can determine which ones will form a triangle.
Explanation:A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For the collection 6, 10, 18, the sum of the two smaller sides (6 + 10) is less than the largest side (18), so this collection will not form a triangle.For the collection 10, 12, 15, the sum of the two smaller sides (10 + 12) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 15, 6, the sum of the two smaller sides (6 + 10) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 18, 12, the sum of the two smaller sides (10 + 12) is greater than the largest side (18), so this collection will form a triangle.