Help me
F (x)=-4x^2+10x-8
What is the value of discrminant of f
How many distinct real number zeros does f have

Answers

Answer 1

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots


Related Questions

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.

Answers

Answer:

0 = x2 - 9x + 20

Step-by-step explanation:

y + 5x = x² + 10     Simplify this equation

  - 5x   - 5x

y = x² - 5x + 10

Set both equations equal to each other since they both equal y

x² - 5x + 10 = 4x - 10

    -4x           - 4x

x² - 9x + 10 = -10

         + 10   + 10

x² - 9x + 20 = 0

If this answer is correct, please make me Brainliest!

The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.

Answers

Answer: it is not a right triangle

12^2=7^2+10^2

144=49+100

144=149

To prove this we try the pitagor teorem which the largest side is the hypotenuse

It is not a right triangle.

We have given that,

The triangle has side lengths 7, 10, and 12.

What is the Pythagoraus theorem?

[tex]hypotenous^2=side^2+side^2[/tex]

12^2=7^2+10^2

144=49+100

144=149

The pitagor theorem which the largest side is the hypotenuse.

To learn more about the triangle visit:

https://brainly.com/question/2217700

#SPJ2

Find the area of a rectangle with the given base and height 9ft , 3in

Answers

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

The equation of a circle is given below.


x^{2}+(y+4)^{2} = 64x


2


+(y+4)


2


=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64


What is its center?


((left parenthesis


,,comma


))right parenthesis


What is its radius?


If necessary, round your answer to two decimal places.


units

Answers

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

[tex]x^2+(y+4)^2=64x[/tex]   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.​

Answers

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

What is 20 divided by 2

Answers

Answer:

10

Step-by-step explanation:

10 x 2 = 20

10 = 20 / 2

Answer:

10

Step-by-step explanation:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12

2×7=14

2×8=16

2×9=18

2×10=20

An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?

Answers

Write the equations:

a +c = 15

a = 15-c

29.95a + 21.95c = 353.25

Replace a in the last equation:

29.95(15-c) + 21.95c = 353.25

Simplify:

449.25 - 29.95c + 21.95c = 353.25

449.25 - 8.00c = 353.25

Subtract 449.25 from both sides:

-8.00c = -96.00

Divide both sides by -8.00:

c = -96 / -8

c = 12

There were 12 children.

there would’ve been 12 children

if i fail a class for one semester will i fail6th grade

Answers

Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.

8
4
2
[tex]2\sqrt{2}[/tex]

Answers

Answer:

2√2

Step-by-step explanation:

r(t) = (2t, t²)

v(t) = dr/dt

v(t) = (2, 2t)

v(1) = (2, 2)

|v(1)| = √(2² + 2²)

|v(1)| = 2√2

these 2 questions please will mark brainly

Answers

Answer:

[tex]28\sqrt{2}[/tex]

Step-by-step explanation:

To answer this question, you must split 98 into 2 factors:

                                                      98

                                                 2          49

                                                          7       7

2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:

[tex](7)4\sqrt{2}[/tex]

[tex]28\sqrt{2}[/tex]

Seth's mother brought home 3/4 of a chocolate cake and 1/2 of a vanilla cake that was left from a party at her work. Seth ate 1/3 of the chocolate cake that was left. How much of the whole chocolate cake did he eat?

Answers

Answer:

1/4 of the cake.

Step-by-step explanation:

Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.

[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]

Therefore, he ate 1/4 of the entire cake.

if 2x+15= 30
then what is x?

Answers

Answer:

x = 15/2

Step-by-step explanation:

2x + 15 = 30

2x = 15

x = 15/2 or 7.5

Answer:

7.5

Step-by-step explanation:

2x+15=30

2x=30-15

2x=15

x=7.5

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Please help and show work and steps

Answers

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].

Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?

Answers

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

which of the following is equivalent to 5 cube root 13^3

Answers

Answer:

d. 13 raise power 3/5

Step-by-step explanation:

60 + 7.20 + 7.80 please math is so dumb ​

Answers

75
60+7.20= 67.20
67.20+7.80= 75

Answer: 75

Step-by-step explanation: 7.20+7.80=15 then 15+60=75

Order each set of the numbers from LEAST to GREATEST

0.23, 19%, 1/5

Answers

19% then 1/5 and lastly 0.23

the rational number of 2 x -7/4​

Answers

The rational number in this equation is 2

Someone please help me. ASAP

Answers

Answer:

x=2

Step-by-step explanation:

4x+6=x+12

-x         -x

3x+6=12

    -6  -6

3x=6

/3   /3

x=2

Answer:

x=2

Step-by-step explanation:

4x+6 = x+12

Subtract x from each side

4x-x +6 =x-x+12

3x +6 = 12

Subtract 6 from each side

3x+6-6=12-6

3x = 6

Divide each side by 3

3x/3 =6/3

x =2

Which two values are greater than 3/5
1/4
0.68
2/3
0.599
1/2

Answers

The answer is 0.68 and 2/3

I rolled a standard 6 sided die a total of 20 times and got the results as shown in the table below. Calculate the THEORETICAL probability of rolling a 5. (Round your answer to the nearest hundredths place.)
Die Roll:
1 0
2 1
3 4
4 5
5 9
6 1

Answers

Answer:

Step-by-step explanation:45

Answer:

About 0.17

Step-by-step explanation:

Rolling a 5: 1/6

1/6=0.166666...

Therefore, about 0.17

I hope this helped and have a good rest of your day!

Which of the following descridbes the translation of the graph of y=x^2 to obtain the graph of y=-x^2-3

Answers

Answer:

the graph translated down 3 or y-3

Step-by-step explanation:

(-3) is the y-intercept

Pls help me answer this if ur good at algebra. Thanks .

Answers

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?

Answers

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.

Answers

Answer:

23

Step-by-step explanation:

Factor the perfect square trinomial 25x^2-60x+36

Answers

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

Please help, thank you.

Answers

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

What is the area of the composite figure

Answers

to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.

first, find the area of the triangle:

multiply 13 and 5 to get 65.

divide 65 by 2.

32.5.

then, find the area of the rectangle:

multiply 5 and 14 to get 70.

add those answers up, and you get:

102.5

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