Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list the values separated by commas.

Answers

Answer 1

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

=> (z - 10)² = 0

Therefore z = 10.


Related Questions

solve the system of linear equations 2x + 3y =16.9
5x =y + 7.4

Answers

Answer:

y = 23.4

Step-by-step explanation:

yeahhhh

Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

Sin (2x-17)° =(x-4)°

Answers

Answer:

2x-x-17=-4

2x-x=-4+17

x=-4+17

x=13

Step-by-step explanation:

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Duncan shipped 10 small boxes and 9 medium boxes, which cost him $149 to ship. Meanwhile, Hannah shipped 7 small boxes and 1 medium box, and paid $46. How much does it cost to ship these two sizes of box?

Answers

Answer:

298

Step-by-step explanation:

844677$bubjnuncidnxisbixbsixnisnxisbfibeufbrinfuenfudbucnrucbeibfe

simplify the expression so there is only one positive power for the base, -5.​

Answers

Answer: The answer is C

Answer:

the anwer is c ig

Step-by-step explanation:

Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selling a television with an area of 196 square inches. Will the television fit in Sheila's entertainment center?

Answers

12x15 = 180

196 is greater than 180

No, the tv will not fit

Find the angle with the smallest measure in △ VUW. Name the angle using three letters

Answers

Answer:

∠VUW

Step-by-step explanation:

A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.

In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.

The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.

Hence the smallest angle = ∠VUW

What is the absolute value of -3?
A. -3
B. 3

Answers

Answer:

B. 3

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right[/tex]

Examples:

[tex]|3|=3\ because\ 3\geq0\\\\|-10|=-(-10)=10\ because\ -10<-\\\\|0|=0\ because\ 0\geq0\\\\|-0.5|=-(-0.5)=0.5\ because\ -0.5<0\\\\|-1,000|=1,000\ because\ -1,000<0[/tex]

Your question:

[tex]|-3|=-(-3)=3\\\\|-3|=3[/tex]

Question is in picture below ​

Answers

Answer:

[tex] \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}[/tex]

A. is the right answer.

hope this helps.

Hey! I need some help with this question I'm not very good with math so if anyone would be willing to help me out id be grateful thx.
An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day.

How many days will it take the comet to reach earth?

Answers

Answer:

It will take 10^3 days for the comet to reach earth.

Step-by-step explanation:

10^8 = 100,000,000

10^5 = 100,000

100,000,000/100,000 = 1,000

1,000 is equal to 10^3

A square has an area of 72 square inches. What is the side length?

Answers

Answer:

8.5

Step-by-step explanation:

:)

A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When constructed,
medians DG and EH intersect at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.


A. (-0.7, 2.5)

B. (-1, 1)

C. (-0.7, 2.3)

D. (-2, 3.5)

Answers

Given:

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).

To find:

The intersection point of medians DG and EH.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is

[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]

[tex]Centroid=\left(-0.666...,2.333\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(-0.7,2.3\right)[/tex]

Therefore, the correct option is C.

For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.

Answers

Answer:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = 340

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

The explation of the answer is now given as follows:

Let a represents number of tickets sold in advance. Therefore, we have:

a = number of tickets sold in advance at $3 each

a + 30 = number of tickets sold  at the door at $5 each

The total amount collected can be represented by this equation:

3a + 5(a + 30) = 2630

Solving for a, wee have:

3a + 5a + 150 = 2630

8a = 2630 - 150

8a = 2,480

a = 2,480 / 8

a = 310

Therefore, this implies:

Number of tickets sold in advance = 310

Number of tickets sold  at the door = a + 30 = 310 + 30 = 340

Evaluate -x + 8 for x = 5.​

Answers

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

PLEASE MARK BRAINLIEST!

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

A copy machine makes 36 copies per minute. How long does it take to make 126 copies?

Answers

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

a quadrilateral has 2 angles that measure 100 and 60 degrees the other angles have a ratio of 3:17 . what are the measures of those angles?

Answers

Answer:

30° , 170°

Step-by-step explanation:

Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,

[tex]3x + 17x + 60 + 100 = 360[/tex]

[tex] = > 20x + 160 = 360[/tex]

[tex] = > 20x = 360 - 160 = 200[/tex]

[tex] = > x = \frac{200}{20} = 10[/tex]

Putting the value of x , remaining angles are

(3×10 = 30°) & (17×10 = 170°)

Answer:30° and 170°

Step-by-step explanation:

the missing angles 3:173x+17x+60+100=360°20x+160=360°20x=360-16020x=200°divide both sides by 20X=10substitute X=10 in 3x and 17x3(10)=30°17(10)=170°

If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?

Answers

Answer:

Step-by-step explanation:

if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but..  we all know that there is always one piece that is bigger and we all want that piece  :P  b/c pumpkin pie is good

1/8

1/4

1/2

respectively for each of the questions

Can u help me please

Answers

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

help pleaseee I really need this done​

Answers

Angle 1 is 115 and angle 2 is 65.

WILL GIVE FAST BRAINLIEST
3(2x^4y^6)^5 / (3x^6y^3)^4
Fraction btw show work or no brainly

Answers

Answer:

32y^18/27x^4

Step-by-step explanation:

I factored the numerator and denominator and canceled the common factors

Here is the answer, glad I could help.
Also, can you mark me as the brainliest answer?
Thanks.

Which of the following functions is graphed below?

A. Y=[x] -7
B. y=[x] +7
C. y=[x] +5
D. y=[x] -5

Answers

The correct answer is B

Terry made 7 chicken pot pies during the month of October. He baked each pie individually for 18 minutes at one temperature. Then he baked each pie for another 20 minutes at a lower temperature. About how many minutes did Terry spend baking chicken pot pies in October?
Group of answer choices

Answers

Answer:

he spent 166 minutes baking pot pies in October

please help I need you​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Diameter x Pi = Circumference

8 x 3.14 = 25.12

Answer:

B

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer to this d=0.6t because evry minute it is .6

PLEASE HELP!! GIVING BRAINLIST TO WHOEVER ANSWERS

Answers

Does represent , like dividing or multiplying by 2

A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the battiest. If the number of boxes needed for packing is proportional to the number of batteries produced, how many more boxes would be needed in a day when 18,000 battiest are produced

Answers

Answer:

Number of extra boxes= 120

Step-by-step explanation:

Giving the following information:

Batteries per box= 50

Number of batteries= 18,000

Number of batteries in ecxess= 6,000

We need to calculate the number of boxes required to cover the 6,000 extra batteries:

Number of extra boxes= number of batteries / batteries per box

Number of extra boxes= 6,000 / 50

Number of extra boxes= 120

which point on the number line represents -1 1/3?​

Answers

Answer:

C. point R

Step-by-step explanation:

The height of a rider on a Ferris wheel, in metres, can be modelled using the function , where is the angle of rotation. (in calculator use x instead of )
Use a graphing calculator to graph the function.
What is the radius of the Ferris Wheel?
At what height was the rider when the ride began?
How would the function and the graph change if the Ferris wheel turned in the opposite direction?

Answers

Answer:

6

Step-by-step explanation:

Two sisters, Crystal and Alexa, are going to a strange birthday party. Instead of birthday cake,
pairs of party guests are each served a large chewy fruit worm to share according to their ages.
Since the sisters are not the same age, they do not share their fruit worm equally.
Crystal is 12 years old and Alexa is 6 years old. Their chewy fruit worm has 18 segments.
According to their ages, Crystal gets 12 segments and Alexa gets 6 segments. The ratio of the
girls' shares of the worm, 12 to 6, is equivalent to the ratio of their ages, 12 to 6.
• According to the rule, how would the girls share a 9-segment chewy fruit worm?
Since Crystal's age is two times Alexa's age, Crystal gets twice as many segments as Alexa.
The ratio of Crystal's segments to Alexa's segments is 12 to 6 or 2 to 1.
. The ratio 2 to 1 is a unit rate. What do the numbers 2 and 1 mean for the sisters?
12 to 6
In this Problem you will explore situations that involve fractions and ratios.

Answers

Honestly I don’t even know what this is sorry I tried to answer it but I couldn’t figure it out
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