Find the discriminant for each quadratic function below. Then list the number of zeros/solutions for each quadratic function.

1) 4x^2+10x-16=0
Discriminant________
Number of Zeros__________

2) -16x^2-7x+3=0
Discriminant_______
Number of zeros_________​

Answers

Answer 1

Answer:

Step-by-step explanation:

The discriminant is found in

[tex]b^2-4ac[/tex] which is part of the quadratic formula. In

[tex]4x^2+10x-16=0[/tex], a = 4, b = 10, c = -16. Filling in for the discriminant:

[tex]10^2-4(4)(-16)=100+256=356[/tex]

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.

In [tex]-16x^2-7x+3=0[/tex], a = -16, b = -7, c = 3. Filling in for the discriminant:

[tex](-7)^2-4(-16)(3)=49+192=241[/tex]

It's positive and not a perfect square so the 2 solutions are complex rational


Related Questions

Could anyone offer a step by step on how to solve this problem?

Answers

Answer:

[tex]m\angle 1 = 40^\circ[/tex]

Step-by-step explanation:

First, notice that the two lines are parallel as indicated by the arrow.

Therefore, by the Alternate Interior Angles Theorem:

[tex]\angle 1\cong \angle 2[/tex]

So:

[tex]m\angle 1 = m\angle 2[/tex]

Substitute:

[tex](2x+20)=(3x+10)[/tex]

Solve for x. Subtract 2x from both sides:

[tex]20=x+10[/tex]

And subtract 10 from both sides:

[tex]x=10[/tex]

We know that:

[tex]m\angle 1 = 2x+20[/tex]

Substitute. Hence:

[tex]m\angle 1 =2(10)+20=40^\circ[/tex]

Uhh How do I do this, please answer, anyone

Answers

Answer:

3rd one down is the answer

Answer:

Well let's count how many 65's there are, there are 3

So there needs to be 3 dots on the data plot on top of the section, 65.

Let's exclude some answers, D and B since they don't have 3 hovering over the 65(since there are three 65's).

Let's count how many 67's there are, there are 4.

We need to get rid of any answers that are more than 4 or less than 4 that are hovering over the section of 67. There are no answers to get rid of, let's move onto the next number, 68! There are four 68's. Let's also get rid of any answers that have more than 4 or less than 4 on the section above 68 since we're looking at that number. C is our answer!

Need help ASAP much appreciated

Answers

Answer:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

Step-by-step explanation:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

12x+24x +18 = 36x +24 -6

Combining like terms

36x+18 = 36x +18

Subtracting 36x from each side

18 = 18

This is always true so  it does not matter what x is, the left had side will equal the right hand side

HELP RSM PLZ ITS DUE LATER TODAY PLZ I NEED HELP

Answers

Answer:

A = 14 units^2

Step-by-step explanation:

The figure is a triangle

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7)*4

A = 14 units^2

Answer:

Area of triangle is 14 square units.

Step-by-step explanation:

Area of figure is given by

Area of triangle = 1/2 × b × h

where, b is the base and h is the height of triangle.

Substitute the values,

Area of triangle = 1/2 × 7 × 4

multiply

Area of triangle = 1/2 × 28

Divide , to get

Area of triangle is 14 square units.

HURRRYYYY PLZZZZ ANSWERRR FASTTTTT

The graph represents a mechanic’s labor costs for a given number of hours of car repair.

Which statement describes the relationship between labor cost and time for a car repair?

All repairs requiring 1 hour or less have the same labor cost.
Labor costs the same no matter how many hours are used for a repair.
Labor costs for a repair are more expensive as the number of hours increases.
There is no cost of labor for a repair requiring less than 1 hour.

Answers

Answer:

A on E2020--All repairs requiring 1 hour or less have the same labor cost.

Step-by-step explanation:

I hope this is correct, if not let me know and I will fix it. I'm sorry in advance if this is incorrect.

the quotient of n and 6
ASAP I need an answer today will give 100 points and mark brainliest PLSSSSSSSSS :)

Answers

Answer:

The quotient of n and 6 is n/6, as quotient means divide.

for example, if it was "the quotient of 24 and 6", it would be 24/6, which is 4.

D. (-7,1) PLEASE HELPPPPPPP ASAAAPPPPP

Answers

Answer:

2,3 and -1,7

Step-by-step explanation:

how do i solve this (see image)

Answers

Answer:

replace w with -4.

(7-4)-(-4+7)

3-3

p

Answer:

0

Step-by-step explanation:

(7+w) - (w+7)

Distribute the minus sign

7+w - w -7

Combine like terms

w-w +7-7

0

Sonja wants to find the mass of her parakeet. What unit would be best to measure the bird’s mass?

Answers

Answer:

Died speciman prior would be best to measure the bird’s mass.The length (also bill-to-tail length) of a bird is usually measured from dead specimens prior to their being skinned for preservation. The measurement is made by laying the bird on its back and flattening out the head and neck gently and measuring between the tip of the bill and the tip of the tail.

¿cuál es el máximo común divisor de 44c⁵, 22c³ y 11c⁴?​

Answers

máximo común divisor es 11c3

I hope I read this problem correctly and that you understand. Let me know if you have any questions:)

Which of the following expressions are equivalent?

1. 5(a + 3)

2. 5a + 15

3. 3(2a + 5)

Answers

Answer:

1 and 2 are equivalent

For 1 , use distributive property. Distribute 5 to a and 3. 5 x a = 5a, and 5 x 3 = 15. Therefore, 5a + 15. This is why 1 is equivalent to number 2.

what is the area of 9 cm 3 cm of the rectangle​

Answers

Answer:

27cm²

Step-by-step explanation:

it should be the area of rectangle..

Answer:

Step-by-step explanation:

27 sq cm

In triangle HIJ, N is the centroid. If HK = 10, find KI.

Answers

Given:

In triangle HIJ, N is the centroid and [tex]HK=10[/tex].

To find:

The value of KI.

Solution:

In a triangle, the centroid of the triangle is the intersection of its medians.

Median of a triangle from a vertex divides the opposite side into two equal parts.

It is given that, N is the centroid. It means JK, HL and IM are the medians of the triangle HIJ.

Since JK is a median of the triangle HIJ, therefore it divides the opposite side IH into two equal parts.

[tex]KI=HK[/tex]

[tex]KI=10[/tex]

Therefore, the value of KI is 10 units.

Lamar made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $43.80If the beads cost $3.80 for each necklace, how much did each pendant cost?

Answers

Answer:

3.50

Step-by-step explanation:

Necklace has beads and a pendant

b +p

There are 6 necklaces at a cost pf 43.80

6(b+p) =43.80

The beads for one necklace cost 3.80 so replace b with 3.80

6(3.80+p) =43.80

Divide each side by 6

6(3.80+p)/6 =43.80/6

3.80 +p = 7.30

Subtract 3.80 from each side

3.80+p-3.80 = 7.30 -3.80

p =3.50

Which ordered pair (p,r) is the solution to the given system of linear equations?

Answers

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

Tenemos 2 garrafas una al 20% y otra al 30%. Cual es su capacidad de las garrafas si tenemos 12 litros de agua

Answers

Answer:

Cada garrafa tiene una capacidad de 24 litros.

Step-by-step explanation:

Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.

Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:

(20%/100%)*V

Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:

(30%/100%)*V

El volumen total de agua es la suma de esos dos volúmenes, que nos da:

(20%/100%)*V + (30%/100%)*V

Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:

12 L = (20%/100%)*V + (30%/100%)*V

Ahora podemos resolver esto para V.

12L = 0.2*V + 0.3*V

12L = 0.5*V

12L/0.5 = V

24L = V

Cada garrafa tiene una capacidad de 24 litros.

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for a.
A sphere has a diameter of 4.4 centimeters.
The volume of the sphere is about
cm^3 just

Answers

Answer:

Volume of sphere = 44.57 cm³

Step-by-step explanation:

Given:

Diameter of sphere = 4.4 centimeter

Value of π = 3.14

Find:

Volume of sphere

Computation:

Radius of sphere = Diameter of sphere / 2

Radius of sphere = 4.4 / 2

Radius of sphere = 2.2 centimeter

Volume of sphere = [4/3][π][r³]

Volume of sphere = [4/3][3.14][2.2³]

Volume of sphere = [4/3][3.14][10.648]

Volume of sphere = [1.333][3.14][10.648]

Volume of sphere = 44.568

Volume of sphere = 44.57 cm³

please help !!!!!!!!! will mark brainliest

Answers

On a genetic level, all humans are more than 99 percent identical. For points

Step-by-step explanation:

Eleisha is standing facing East. She turns in a clockwise direction and is now facing West. Through how many degrees did Eleisha turn.

Answers

Answer:

180 degrees

Step-by-step explanation:

East and west are two opposite directrions along the same line.

The angle is 180 degrees.

Answer: 180°

Step-by-step explanation: The directions on a compass would look something like this; (Refer to the image.)

A full circle is 360°. Half of 360 is 180. You would have to make a clockwise rotation by 180° to face West. Think of this picture as a clock or a circle.

I hope this helps!

                                     

please help!
Find the area of the circle.
Use 3.14 for pi

Answers

Answer: 153.94

Step-by-step explanation: Formula for area of a circle: pi * r^2

First find the radius by dividing the diameter by 2: 14/2 = 7

Then plug the radius, 7, and pi, 3.14, into the formula:

(3.14) * (7^2) = 153.94 inches squared

A trainer for a professional football team keeps track of the amount of water players consume throughout practice. The trainer observes that the amount of water consumed is a linear function of the temperature on a given day. The trainer finds that when it is 90°F the players consume about 220 gallons of water, and when it is 76°F the players consume about 178 gallons of water.

Answers

Answer:

i am only looking for answers on this app

Sir Step-by-step explanation:

Calculate the amount of simple interest you would pay on a loan of 20000 dollars at a rate of 5.6% per annum for three years?

Answers

Answer:

$23551.67

Step-by-step explanation:

Help please…………………………..

Answers

Answer: is A i know this because i just took the test.

Answer:

option A.

Step-by-step explanation:

[tex]1 - \frac{1}{3} x \geqslant \frac{1}{2} (x - \frac{3}{5} ) \\ \frac{3 - x}{3} \geqslant \frac{1}{2}( \frac{5x - 3}{5} ) \\ \frac{3 - x}{3} \geqslant ( \frac{5x - 3}{10 } ) \\ \frac{3 - x}{3} \times 3 \geqslant ( \frac{5x - 3}{10 } ) \times 3 \\ 3 - x \geqslant ( \frac{5x - 3}{10} )3 \\ (3 - x) \times 10 \geqslant( \frac{5x - 3}{10} )3 \times 10 \\ (3 - x) \times 10 \geqslant(5x - 3)3 \\ 30 - 10x \geqslant 15x - 9 \\ 30 + 9 \geqslant 15x + 10x \\ 39 \geqslant25x \\ \frac{39}{25} \geqslant x[/tex]

therefore, the answer's A.

A chair rental company charges $100 for delivery plus $3 per chair.
Write an explicit function for the total cost, T(c), of renting c number of
chairs.

Answers

Answer:

T(c) = 100 + 3*c

Step-by-step explanation:

cost = fee + cost per chair * number of chairs

T(c) = 100 + 3*c

Answer:

T ( c)= $ 100 + $ 3 c

Step-by-step explanation:

Given that :-

Fee for delivery = $ 100Cost per chair = $ 3No. of chair = c

To Find :-

Total cost T( c) of renting c no. of chairs.

Solution :-

Total Cost, T ( c) = Fee + cost per chair × no. of chairs.

T ( c) = $ 100 + $ 3 × c

T ( c) = $ 100 + $ 3 c

plz help 20 points pllllllllllllllllllllllz help mee asap

Answers

Answer:

b=4  c=7

Step-by-step explanation:

I think not positive

Answer:

453+557 = 1010

hence b is 5 and c is 3

Help please I need this answered so I can go to a party tomarrow. help!

Answers

Answer:

D.

Step-by-step explanation:

8 * 4 = 32 and 14*4=56 cm therefore the perimeter is scaled 4x larger.

tomorrow* not tomarrow.

What are the solutions to the quadratic equation below?
4x^2 + 28x + 49 = 5

Answers

Answer:

C

Step-by-step explanation:

Answer:

C.

[tex]x=\frac{-7±\sqrt{5 } }{2}[/tex]

Step-by-step explanation:

4x² + 28x + 49 = 5

4x² + 28x + 49 - 5 = 0

4x² + 28x + 44 = 0

4(x² + 7x + 11) = 0

4(x² + 7x + 11) ÷ 4 = 0 ÷ 4

x² + 7x + 11 = 0

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

a = 1

b = 7

c = 11

[tex]x=\frac{-7±\sqrt{7^{2}-4((1)(11)) } }{2(1)}[/tex]

[tex]x=\frac{-7±\sqrt{49-4((1)(11)) } }{2(1)}[/tex]

[tex]x=\frac{-7±\sqrt{49-44 } }{2(1)}[/tex]

[tex]x=\frac{-7±\sqrt{5 } }{2(1)}[/tex]

[tex]x=\frac{-7±\sqrt{5 } }{2}[/tex]

Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?

Answers

Answer:

No, the poster would not fit in the frame

Step-by-step explanation:

A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.

A square is a quadrilateral in which all sides are equal.

Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:

Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²

Since the square frame has the same area as the rectangular frame, hence:

Area of square frame = length * length

length² = 1200

length = √1200 = 34.64

Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.

Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.

whatss the diffrence

Answers

There is no difference they are the same

Hey can someone help me on this question.​

Answers

Answer:

34

Step-by-step explanation:

the two angles u know add up to 148 and a full angle is 180 so 180-148 gives u 34

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