Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions

Answers

Answer 1

Answer:

There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.

Step-by-step explanation:

We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.

If pa² + qa + r = 0 and p > 1.

Thus, D = q² - 4pr.

If D > 0, then the equation has 2 real solutions.

If D = 0, then the equation has 1 real solution.

If D < 0, then the equation has 0 real solutions.

We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:

p = 5

q = -6

r = 10

D = q² - 4pr

D = (-6)² - 4(5)(10)

D = 36 - 200

D = -164

D < 0

Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.

I hope this helps! Sorry if my English didn't really help with having a clearer explanation.


Related Questions

P
L
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E
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P

M
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Answers

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table

m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9

Answers

Answer:

C. 6

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.

in this question, they have given you both the difference in x and difference in y.

therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]

[tex]\frac{6}{3}[/tex]= 2

therefore, the correct slope value is A. 2

How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.

That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.

Answers

Answer:

2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Step-by-step explanation:

We are given the three expressions different from each other

We are supposed to find  what may be same or different.

1) [tex](-2)^2[/tex]

[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]

2)[tex]-2^2[/tex]

[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

3)[tex]-(2)^2[/tex]

[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

PLEASE HELP ITS TIMED!!

Answers

Answer is 3..........

681/4 i dont know this

Answers

Answer:

170.25

Step-by-step explanation:

It's a bit tricky to do not on plain paper, but here:

Just assume the long division symbol looks right

  _1_7_0_.25

4 ) 681

    -4

     2 8

     -2 8

          0  1

The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.

Fraction: 170 1/4

Decimal: 170.25

The answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0​

Answers

Answer:

-2

Step-by-step explanation:

-3+8x-5=-8

8x = -16

x = -2

Answer:

Undefined

Step-by-step explanation:

-3+8x-5=-8

+8 on both sides

8x = 0

Since you cant divide a number by 0, the answer is undefined

Write the set using roster notation: The set of even natural numbers less than 10.

Answers

Answer:

A={2,4,6,8}

Let the set be A

Even numbers are those numbers which can be divided by 2.

hope it helps

Good luck on your assignment

Answer:

A={2,4,6,8}

Step-by-step explanation:

Let the set be A

even numbers means the numbers can be divide by 2

but they said that it has to be less than 10

Now, let's create the set

[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what is 5x+ x - 7-8 + 365 solve it plz

Answers

Answer:

x = -58.3

Step-by-step explanation:

6x - 15 + 365 - simplifly terms

6x + 350 = set to equal sides

6x = -350

x = -58.3

The figure below is made of two identical triangular prisms. What is the volume of the figure?

Answers

Answer:

300 in³

Step-by-step explanation:

The volume (V) of a triangular prism is

V = Al ( A is the area of the triangular face and l is the length )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , thus

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so

V = 15 × 10 = 150 in³

Since the triangular prisms are identical, then volume of figure is

V = 2 × 150 in³ = 300 in³

300 in^3


This answer isn’t mine sorry

Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale factor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)

Answers

Answer:

X'' (-4, 8)

Y'' (-6, 8)

Z'' (-6, 16)

Step-by-step explanation:

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.

X (2, 4) -> (-2, 4) -> (-4, 8)

Y (3, 4) -> (-3, 4) -> (-6, 8)

Z ( 3, 8) -> (-3, 8) -> (-6, 16)

a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?

Answers

Answer: 2.6

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9 + b^2 = 16

b^2 = 7

b = 2.6

Answer:

√7 = 2.6

Step-by-step explanation:

a²+b²=c²

9+b²=16

b²=7

A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8

Answers

Answer:

equation of a line= y-y¹=m(x-x¹)

y--1.8=7(x-0)

y+1.8=7x-0

y+1.8=7x

y=7x+1.8

Factor completely 40xy2 − 36x2y. (4 points)

4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)

Answers

Answer:

4xy(10y - 9x).

Step-by-step explanation:

40xy2 − 36x2y

The Greatest Common Factor (GCF) of 40 and 36 is 4.

GCF of x and x^2 is x,

GCF of y^2 and t is y.

So GCF = 4xy.

and  the factors are:

4xy(10y - 9x).

Simplify the following expression.
11 - X 7

Answers

Answer:

11-7x  its already simplified

by-step explanation:

multiply

To compute a product; to perform a multiplication.

This is already simplified as can be

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]

According to the water surface area rule, a fish tank can be
stocked with one inch of fish for each twelve square inches of
surface area. The fish that you are interested in putting in your
fish tank are each 2 inches. Your fish tank has a surface area of
576 square inches. According to the water surface area rule,
what is the maximum number of fish you can put in your tank?

Answers

Answer:

24 fishes

Step-by-step explanation:

If for 1 inch of fish corresponds 12 square inches of  surface area, then for 2 inches correspond 24 square inches. Given that each fish is 2 inches, then for 1 fish 24 square inches of  surface area is needed. To know how many fish you can put in your tank, we need to solve the following proportion:

1 fish / x fish = 24 square inches / 576 square inches

x = 576/24

x = 24 fishes

The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?

A. Yes, because 6 to the 2nd power + 8 to the 2nd power < 12 to the 2nd power.
B. No, because 6 + 8 ≠ 12.
C. Yes, because 6 to the 2nd power + 8 to the 2nd power = 12 to the 2nd power.
D. No, because 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power.

Answers

Answer:

No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power

Step-by-step explanation:

If you square the shorter lengths and add them together, they add up to one hundred

6^2 + 8^2 --> 38 + 64 = 100

Once you square 12 it equals 144

144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.

Ex: 6: 8: 10,  12: 16: 20, etc.

Hope this helps!

I need help asap pls help me

Answers

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH

Answers

Answer:

15.7

Step-by-step explanation:

3.14(5)

Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1

Answers

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

Answer:

7 over 12

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

help please, thank you

Answers

Answer:

.39-.23

=.16

that the answer

what is the correct expanded form and value of (One-fifth) Superscript 4?
A. 1/5+1/5+1/5+1/5=4/5
B. 1/5 x 1/5 x 1/5 x 1/5= 1/625
C.1+1+1+1/5 x 4 = 4/20
D.1/5x4=4/5

Answers

Answer:

B, 1/5*1/5*1/5*1/5=1/625

Answer:

B.

Step-by-step explanation:

because furries are alwasy right

What is the difference between (8y-7) and (1-3y)

Hint: Difference is another way to say subtraction.

Answers

the difference is: 11y-8

Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)​

Answers

Step-by-step explanation:

work is shown and pictured

Which of the following is the simplified form of 7sqrtx 7sqrtx 7sqrtx

Answers

Answer:

First option is the correct answer

[tex] {x}^{ \frac{3}{7} } [/tex]

Step-by-step explanation:

[tex] \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} \\ \\ = \sqrt[7]{x\times x\times x } \\ \\ = \sqrt[7]{ {x}^{3} } \\ \\ = {x}^{ \frac{3}{7} } [/tex]

Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?

Answers

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

(5ab-9a-4) - (-4ab + 5)

Answers

Answer:

9ab - 9a +1

Step-by-step explanation:

first, we can distribute the negative sign to the second set of parentheses.

-(-4ab + 5) becomes + 4ab - 5

now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5

5ab + 4ab - 9a - 4 - 5

= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.


What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )

Answers

Answer:

84.6%

Step-by-step explanation:

There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck

therefore

52-8 =44, 44 cards that are not kings or aces

therefore the probability is

44/52 = 0.846153846*100 = 84.615%

There the chances are 44/52 or 84.6%

Answer:

11/13 or 84.62%

Step-by-step explanation:

There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:

52 - 8 = 44

Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.

Hope this helps! Please feel free to ask me any questions :)

Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?

Answers

Answer:

The answer is "(0,0)"

Step-by-step explanation:

In the given some information is missing that is point so, the correct answer to this question can be described as follows:

book Number = x  

overall Book weight = y  

Neither x nor y can be negative. We have to be positive values, then.  

Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.  

So the only viable solution from the given options is (0, 0).

Answer:

6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders

Step-by-s6 ounces.

Manuel has a collection of baseball cards. There are 10 Tiger players, 4 Red Soxs, 6 Cubs, and 5
Yankees. If he shuffles the cards what is the probability that the first card he picks is a Tigers
player?

Answers

Answer: 2/5

Step-by-step explanation:

10 + 4 + 6 +5 = 25

10/25  

simplify:  2/5

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