Mathematics High School

x^2 - 8x + 5 = 0

(a) find the value of the discriminant

(b) state the number and type of the roots (2 real, 2 imaginary/complex or 1 real).

Answers

Answer 1
Answer:

√44

2 Real Roots

Step-by-step explanation:

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

X^2 - 8x + 5 = 0(a) Find The Value Of The Discriminant(b) State The Number And Type Of The Roots (2 Real,

Related Questions

There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.

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Answer:

5x pounds

Step-by-step explanation:

Here's the solution if you need, hope it's help

If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle

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Answer:

it is 1 cm because semi means half

You rent an apartment that costs $1000 per month during the first year, but the rent
is set to go up $160 per year. What would be the monthly rent during the 10th year of
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Answer: In the tenth year your rent would be 2440 a month.

Hope this helps!

Second derivative of -2x^2+2/(x^2+1)^2

Answers

Answer:

\frac{-2x^2+2}{x^4+2x^2+1}

2x^2+2

-------------

x^4+2x^2+1

answer please help me out

Answers

Answer:

Hey just search up an algebraic calculator I finished my homework with it lol

Step-by-step explanation:

Plz help fast.
I will mark Brainlyist

Answers

I included the formula and the answer

Write the equation of the line with x-intercept 3 and passing through the point (5.4)

Answers

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3

When determining domain it is important to work from

Answers

Answer:

use graphs

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

A line passes through point A (12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A . Use point A to write an equation of the line in point-slope form.

Answers

The answer is 18, 0

You gotta trust me

1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)

Answers

7x12 is 84 cuz 12 is a dozen so then84/4 is 21 then times 1/5 is 4.2

Select the correct answer.
Which expression is a factor of this polynomial?
13 + 2x^2-9x-18
O
O A. (x - 2)
B. (x + 1)
Oc. (x - 6)
D. (x + 2)

Answers

Answer:

i think i'ts D. (x +2)

Step-by-step explanation:

Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.


(−4, −65)

(4, −1)

(2, 7)

(−2, −25)

Answers

Answer:

it is correct but -65 is not correct

A box of cereal states that there are 84 calories in a 3/4
​-cup serving. What is the unit rate for calories per​ cup?

Answers

answer: 112 cals per cup.
explanation: first you do 84 cals divided by 3= 28 . you want to multiply 28 by 4 to equal a cup. 28x4=112 .

Answer:

It is 112 calories per cup of cereal.

Step-by-step explanation:

multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.

On an airplane the passengers may have chicken vegetable or tomato soup

Half of the passengers choose the Chicken soup

A third of the passengers choose tomato soup

What fraction of the passengers chose soup?

There are 240 passengers on the airplane

How many passengers chose vegetable soup?

Answers

5/6
40
1/2 + 1/3 = 5/6
120 chose chicken and 80 chose tomato. So 40 chose vegetable

Write the inequality.
The sum of negative 3 and a number is no more than two

Answers

Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

FInd the value of T - triangle measerments

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JK=JH

[tex]\\ \sf\longmapsto 10t=7t+15[/tex]

[tex]\\ \sf\longmapsto 10t-7t=15[/tex]

[tex]\\ \sf\longmapsto 3t=15[/tex]

[tex]\\ \sf\longmapsto t=15/3=5[/tex]

ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that​

Answers

Answer:

See answer below

Step-by-step explanation:

ABCD is a parallelogram                     Given

BC ≅ AD; AB ≅ DC                             opposite sides of a parallelogram ≅

Δ AXB = 1/2 (AB)(AD)                           Formula for the area of a Δ

Δ BYC = 1/2 (BC) (DC)                           Formula for the area of a Δ

1/2 (AB)(AD)= 1/2(BC)(DC)                      Substitution

∴ Area of Δ AXB = Area of ΔBYC

please help solve for RN

Answers

Answer:

I guess...

Step-by-step explanation:

Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:

RN = x

8 is to 10 as

5 is to x

8 * x = 5 * 10

8x = 50

x = 50 / 8

x = 6.25

RN = 6.25

What have you learned about geometric relationships?
PLEASE HELP 15 POINTS

Answers

Answer:

that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.

Step-by-step explanation:

i took this i guess and it was gud

$4 is what percent of 50

Answers

Answer:

8%

Step-by-step explanation:

4/50 = 0.08 = 8%

Steps to solve "what percent is 4 of 50?" If you are using a calculator, simply enter 4÷50×100 which will give you 8 as the answer.

HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON

Answers

Answer:

c. -5x - 2 = -42

Step-by-step explanation:

Have a nice day! :-)

Answer:

-5x-2 = -42

Step-by-step explanation:

less than means you do this after what comes next

Product of a number and -5

-5x

Two less than

-5x -2

is means equals

-5x-2 = -42

pls help i'll give brainliest. Write an equation that represents the line.

Answers

Answer:

y=2/x=1    y=4/x=4

Step-by-step explanation:

If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.
Solution : (Identify the ratio of the length of one edge of the original cuboid and the length of one edge of the new cuboid)​

Answers

Answer:

Step-by-step explanation:

(1+25 /100) (1-20/100) (1-50/100)  <1

5/4 x 4/5 x 1/2 <1

Decrease in volume (in percent)

(1+25 /100) (1-20/100) (1-50/100)  x 100

=48.8%

How can you use factoring to solve quadratic equations in standard form?

Answers

Step-by-step explanation:

The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation.  Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.  

For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.

x² + 6x + 8 = 0

where a = 1, b = 6, and c = 8:

In order to find the factors of the given quadratic equation, we must find the  factors with a product ac, and sum b.  

Using 2 and 4 as possible factors produce a product that is equal to

product of ac:   2 × 4 = 8

sum of b:           2 + 4 = 6.

Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:

(x + 2) (x + 4).

Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.  

Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.

(x + 2) (x + 4)

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.

What is the slope in the picture?

Answers

Answer:

positive; sence it's starting from the bottom and going up its positive

positive!! i think it is because its going up a hill and it started at the bottom!!! hope this helps

HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan

Answers

Hhhhhhhhhhhhh
Gc he cry x.

How many 2 digit numbers have unit digit 6 but are not perfect squares

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

Of the 9 2-digit numbers ending in 6, only 2 are perfect squares: 16 and 36. The other 7 are not perfect squares.

solve pls brainliest

Answers

Answer:

y=15x

Step-by-step explanation:

Plug in the numbers given and the equation works.

the ball started at the 5 yard line. what is the position of the ball after these two plays

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Answer:

you have to show a diagram or I can't help you

explain for a brainlist !!!!!!!!!!

Answers

Step-by-step explanation:

cross multiply

so it will be

2y= -1x+5

2y+x=5

thats the only part i know

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