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Which graph represents a quadratic function that has exactly one real zero?
Answers
There exists one real zero when the vertex lies on the x-axis, from that we conclude that the correct option is A.
Which quadratic function has only one real zero?
The real zeros of a quadratic function are the values of x at which the graph of the quadratic function intercepts the x-axis.
If we want only one real zero, then we must have only one intercept. And this only can happen if the vertex of the quadratic function lies on the x-axis.
As you can see, the only graph where that happens is the one in option A, so we conclude that option A is the correct one.
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Related Questions
Find the slope of the line passing through (-8, 10) and (-8, -7).
Answers
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]
[tex]\\ \rm\dashrightarrow m=\infty[/tex]
[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]
Slope is undefined
please help with math
Answers
Answer:
34
Step-by-step explanation:
3*(2*2*2)+10
3*(8)+10
24+10
34
34
Step-by-step explanation:
3*(2*2*2) +10
3* (8) +10
24+10
34
Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
formula?
Quadratic formula: x =
-b± √b²-4ac
2a
Ox==(-2) ± √(-2)² – 4(3)(0)
2(3)
0 x==(-2) ± √(-2)² - 4(3)(2)
X=
0 x==(-
-(-2) ± √(-2)²-4(3)(1)
2 (3)
-3±√√3²-4(-2)(0)
2(-2)
Answers
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,
To solve this problem we are using quadratic formula.
The general quadratic equation is,
Formula used :
Now we a have to solve the above equation and we get the value of 'x'.
a = 3, b = -2, c = 0
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Which equation represents a linear function That is shown on the graph below?
Answers
Write the equation for g (x)
Answers
The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
where:
m is the slope(x1, y1) is the point on the slopeIf the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.
Determine the required equation of a line
y - y1 = m(x-x1)
y - 8 = 25(x-3)
Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)
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Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answers
The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.
Which graphs indicate equations with no solutions?If we have an equation like:
f(x) = g(x).
One way of finding the solutions is to graph:
y = f(x) and y = g(x) and see where the two curves intercept.
From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.
The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.
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Answer:
kid named finger
Step-by-step explanation:
I simply just used a form of alien math solving and I got my answers but I'm not willing to share
Simplify the expression (5 ÷ 5) + 5x (5²-5)
Answers
Calculate the area of the following square if a=17
Answers
Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?
Answers
Answer:
75 percent
Step-by-step explanation:
To find percent increase, do (final-initial/initial) * 100.
This would be 133-76/76 * 100, meaning you get a 75 percent increase.
The percent increase is 75 %.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Sonya's heart rate was 76 beats per minute.
After running, heart beat rate= 133 beats per minute.
So, percent increase
= (133- 76)/ 76 x 100
= 0.75 x 100
= 75%
Hence, the percent increase is 75 %.
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Every Fraction can be written as a decimal that will be either a/an________ decimal number or a/an _________ decimal number
Answers
Answer:
Every fraction can be written as a decimal that will be either a decimal number or a decimal number
Hehe hope its helpful :-P
A fish tank can hold 190 liters of water. The tank has 154 liters of water in it already.
How many more liters of water can the fish tank hold?
Enter your answer in the box.
Answers
Answer:
it is 36 liters
Step-by-step explanation:
think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.
***
-6
Simplify 21v6 ÷ (-7v-6)
O 0
-3y¹2
-3
12
0 -3
DONE
0 0
Answers
Answer:
-3
Step-by-step explanation:
[tex] \frac{ 21y {}^{ - 6} }{ - 7y {}^{ - 6} } \\ - 3y {}^{ - 6 - ( - 6)} \\ - 3y {}^{ - 6 + 6} \\ - 3y {}^{0} \\ - 3(1) \\ - 3[/tex]
Monday
The solution of 87e0.3x = 5918, to the nearest
thousandth, is
A. 0.583
B. 1.945
C. 4.220
D. 14.066
Answers
Answer:
[tex]D) ~ 14.066[/tex]
Step-by-step explanation:
[tex]~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066[/tex]
Which graph describes the relation {(5, 1), (1, –2), (0, –1), (–3, 2)}?
Answers
The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
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Write a definition for alternate interior angles.
Answers
Answer:
Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.
Step-by-step explanation:
I hope this checks out
what is 2x3x5x6? havin trouble
Answers
2x3= 6
(6) x 5 = 30
(30) x 6 = 180
2x3= 6
(6)x5=30
(30)x6=180
Work out
10.3
% of
853.93
km
Give your answer rounded to 2 DP.
Answers
Answer:
87.95
Step-by-step explanation:
853.93 x 10.3/100
853.93/100=8.5393
x10.3 = 87.95km
Please answer this question
Answers
Answer:
A: Isosceles B: EquilateralC: ScaleneD: Isosceles E: Isosceles F: ScaleneStep-by-step explanation:
We can classify triangles by their sides into three types:
Equilateral: It is when the triangle has all the equal sides.Isosceles: It is when the triangle has only two equal sides.Scalene: It is when none of the sides of a triangle are equal. MissSpanishCan somebody solve this please?
Answers
Answer:
220
Step-by-step explanation:
Now, I'm not sure if 220 is correct, but I'll explain my reasoning.
We know three angles of a triangle add up to 180 degrees.
So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.
So, a + b = 110.
Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.
So, c + d + 70 = 180.
This means c + d = 110.
So, (a + b ) + (c + d ) =
110 + 110 =
220 degrees.
I hope this helps!
Answer:
110
Step-by-step explanation:
a + b + c + d = 110
Triangle will always equal 180 degrees triangle = 180
180 - 70 = 110
If you apply the changes below to the quadratic parent function, f(x) = x2², what is the equation of the new function? Shift 3 units right. Vertically stretch by a factor of 4. • Reflect over the x-axis. O A. g(x) = 4x² + 3 OB. g(x) = -4(x - 3)² O C. g(x) = -4(x+3)² O D. g(x) = (-4x - 3)²
Answers
Answer:
B. g(x) = -4(x - 3)²
Step-by-step explanation:
Given :
f(x) = x²On shifting 3 units right :
g(x) = (x - 3)²On stretching vertically by a factor of 4 :
g(x) = 4(x - 3)²On reflecting over the x-axis :
g(x) = -4(x - 3)²Vertically strech by 4 means it's should be multiplied with -a and a =4
So
y=-4x²Shifted 3 units right means change in x
So
it should be
-4(x-3)²Option B
What is the value of x
If you know how to solve please show work! Please help
Answers
Answer:
35
Step-by-step explanation:
x+8+243/2
x+251/2
x+251/2=4x+3
cross multiply
x+251=2(4x+3)
x+251=8x+6
x-8x=6-251
-7x=-245
x=-245/-7
x=35
Simplify:
4 + (15 - 14) x 6
Answers
Answer:
First you start with what is in the ( ). 15- 14 is 1. then you do multiplication next. 1* 6. is 6. now you do addition. 6 + 4 = 10
calculate mpg for w=1000,w=2000;calculate weight when mpg=30
Answers
Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.
What does MPG stand for?MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.
In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.
Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.
On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.
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If C=m+1C=m+1 and B=m+5,B=m+5, find an expression that equals 2C+3B2C+3B in standard form.
Answers
The value of the expression 2C+3B is 5m + 7
How to evaluate the expression?The given parameters are:
C = m + 1
B = m + 5
To evaluate the expression 2C+3B;
We substitute C = m + 1 and B = m + 5
So, we have:
2C+3B = 2 * (m + 1) + 3 * (m + 5)
Expand
2C+3B = 2m + 2 + 3m + 15
Evaluate the like terms
2C+3B = 5m + 7
Hence, the value of the expression 2C+3B is 5m + 7
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You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're
having trouble keeping the doors open. How can that be possible? Use the terms revenue, expenses, and profit/loss in
your answer.
Answers
Answer:
The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.
1. In the following exercises, translate into an equation and solve
a. Distance Avril rode her bike a total of 18 miles, from home to the library and then to the beach. The distance from Avril’s house to the library is 7 miles. What is the distance from the library to the beach?
Answers
Answer:
11 miles
Step-by-step explanation:
The length of the route is the sum of the lengths of the parts of the route.
__
Let b represent the distance to the beach from the library.
total distance = (home to library) +(library to beach)
18 miles = 7 miles + b
11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation
The distance from the library to the beach is 11 miles.
Ten years ago, you invested most of the money you made during that summer into an Energy drink stock. You purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%. However, the Energy drink stock consistently declined by 3.65% each year until the present.
a) Write an equation to model this situation.
b) Estimate the value of the stock today. How much did you gain/lose?
c) Assuming the stocks rate of decline remains the same, approximate the number of years it will take for the value of the stock to
decrease by half.
Answers
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
EquationsGiven that ten years ago, you invested most of the money you made during that summer into an Energy drink stock, and you purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%, but, however, the Energy drink stock consistently declined by 3.65% each year until the present, for a) Write an equation to model this situation, b) Estimate the value of the stock today and how much did you gain/lose, and c) Assuming the stock rate of decline remains the same, approximate the number of years it will take for the value of the stock to decrease by half, the following calculations must be made:
A) 8000 x 0.9635 ^ Years = ValueB) 8000 x 0.9635^10 = X8000 x 0.6894 = X5515.78 = XC) 8000 x 0.9635 ^ X = 40008000 x 0.9635^18.64 = 4000Therefore, A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
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Answer:
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
Step-by-step explanation:
show that 12 cos 30 +2tan 60
Answers
Answer:
cant draw on this
Step-by-step explanation:
show the problem
PLEASE HELPPPPPPP
What is the approximate area of the shaded region?
Answers
Answer:
69.53
Step-by-step explanation:
I did it on my calculator.
What is the area of a regular pentagon with a side of 10 in.? round the answer to the nearest
tenth.
96.3in^2
172.0in^2
344.1in^2
192.6in^2
dont respond with a link!!!!!!
Answers
The area of the regular pentagon given a side of 10 in is 172.0 in².
What is the area?A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.
Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²
Where a = side = 10
A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²
A = 172.02 in²
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