If -2 is a root of the quadratic equation x²-5x+c find the value of c

Answers

Answer 1

Answer:

Step-by-step explanation:

P(x)= x^2-5x+c=0

P (-2)= (-2)^2-5 (-2)+c=0

= 4+10+c=0

=14+c=0

C=(-14)

Answer 2

Answer:

[tex]\fbox{\begin{minipage}{4em}c = -14\end{minipage}}[/tex]

Step-by-step explanation:

Given:

A quadratic equation: [tex]x^{2} - 5x + c = 0[/tex], with [tex]x =-2[/tex] is a solution.

Solve for:

Value of c

Step 1: define the problem

If [tex]x = -2[/tex] is a solution of equation [tex]f(x) = 0[/tex], then [tex]f(-2) = 0[/tex]

Step 2: Perform the calculation

Substitute [tex]x = -2[/tex] into original quadratic equation, we have:

[tex](-2)^{2} - 5(-2) + c = 0[/tex]

Perform the square and multiplication:

[tex]4 + 10 + c = 0[/tex]

Transfer all of numbers to the right side, except c:

(notice for the change in sign of numbers)

[tex]c = (-4) + (-10)[/tex]

Perform the sum on the right side to get c:

[tex]c = -14[/tex]

Hope this helps!

:)


Related Questions

I promise I WILL MARK YOU AS BRAINLIEST How many minutes is it before 12 noon if nine minutes ago it was twice as

many minutes past 10 am?

Answers

Answer:

120 - x - 9 past 10am

Step-by-step explanation:

Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.

Answer:

The Answer is 120 - x - 9 past 10am

Step-by-step explanation:

Hope this helps. :,-)

What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2

Answers

Answer:

The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Did da test

The inverse of f(x) is a function

Answers

Answer:

Step-by-step explanation:

Not always.  If, however, the given function passes the "horizontal line test," then the given function has an inverse which is also a function.  The horizontal line test consists of drawing a horizontal line through the given graph; if the line intersects the graph in only one place, it "passes," and the given function has an inverse function.

model -5 + (-6) on the number line

Answers

Answer:

-5+(-6 )= -11 so you would pinpoint -11 on the number line

Step-by-step explanation:

whats 700 divided by 178

Answers

Answer:

3.93258426966

Step-by-step explanation:

To 1 d.p = 3.9

Answer:

≈3.9 (3.932584269662921...)

OR

3 R 166

OR

[tex]3\frac{83}{350}[/tex]

Step-by-step explanation:

700÷178=3.932584269662921

700÷178=3 R 166

700÷178=

[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]

If you wanted it in decimal form, the decimal would be infinite.

If you wanted it with a remainder, it's 3 R 166

If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]

Factor completely 3x2 − x − 4.

Answers

Answer:

(3x-4)(x + 1)

Step-by-step explanation:

first, split the middle term,

3x^2-x-4

= 3x^2 + 3x - 4x - 4

= 3x( x+ 1) - 4( x + 1)

= (3x-4)(x + 1)

plz mark as brainliest

Answer:

(3x − 4)(x + 1)

Step-by-step explanation

Given a function, describe how to find the average rate of change over a given interval.

Answers

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letter Δ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change in y divided by the change in x”.

Answer:

Find the average rate of change of the function

A General Note: Rate of Change

The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Let the polynomials A = 7x² + 3xy and B = -3xy .

Determine A. B (multiplication)


a) - 21x 2 – 9xy

b) 21x 2 + 9xy

c) – 7x 2 – 3xy

d) 7x 3 + 3x 2 y 2

e) – 21x 3 y – 9x 2 y 2

Answers

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

I dont understand B and C in this question so there are a deck of cards 1-10 i already got A right but B and C i dont understand
B: what is the probability of choosing a card that has a digit 1 on it
C: what is the probability that does not have a digit 1 on it? give both answers as a fraction here are the numbers to help
1 2 3 4 5 6 7 8 9 10

Answers

Answer:

see below

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10  = 10 cards

9 of them have 1 digit on them  ( 10 has 2 digits)

P( 1 digit) = number with 1 digit) / total = 9/10

P(  not have 1 digit)= number not  with 1 digit) / total = 1/10

After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?

Answers

Answer:

The diver is 29 ft below the water surface

Step-by-step explanation:

Here, we are interested in calculating the diver’s final depth before the surface of the water.

Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;

18ft -7ft = 11 ft initially

It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft

This means he is 29 ft below the surface of the water

Answer:

-29

Step-by-step explanation:

The diver is 29 ft below the water surface

Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw

Answers

Answer: 27

Step-by-step explanation:

111/4= 27.75

##############################################################

I’ll mark you brainliest!!!

Answers

Answer:
C. (1,18)
Explanation
If you don’t know how to find it, just plug in the values into the equation until they are equal to each other

Answer:

C

Step-by-step explanation:

Substitute the x- coordinate into f(x) and if the value is equal to the y- coordinate of the point then the point is on the graph.

A (0, 18)

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 18 ← not on graph

B (18, 1 )

f(18) = 3 × [tex]6^{18}[/tex] ≠ 1 ← not on graph

C  (1, 18 )

f(1) = 3 × [tex]6^{1}[/tex] = 3 × 6 = 18 ← on the graph

D (0, 0 )

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 0 ← not on graph

a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart​

Answers

Answer:

Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)

Step-by-step explanation:

  1 : 1000

55 : 55000

Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)

Jon is playing a game with his friend Mike. Mike rolls two dice three times. Each time Mike rolls the dice, Jon squares both numbers and subtracts the smaller square from the larger square. After all three rolls, Jon adds the three numbers he obtained from the three rolls. If Mike rolls a 4 and a 3 on the first roll, a 6 and a 2 on the second roll, and a 3 and a 1 on the third roll, what is the sum that Jon obtains?

Answers

Answer:47

Step-by-step explanation:

On first roll Mike gets 4 and 3

So number he gets after subtraction of square is

[tex]\Rightarrow 4^2-3^2=7[/tex]

On second roll Mike gets 6 and 2

So number he gets after subtraction of square is

[tex]\Rightarrow 6^2-2^2=32[/tex]

On Third roll Mike gets 3 and 1

So number he gets after subtraction of square is

[tex]\Rightarrow 3^2-1^2=8[/tex]

Sum of numbers[tex]=7+32+8=47[/tex]

John obtains [tex]47[/tex] as sum

Shannon can milk cows at a rate of Two and one-half gallons per minute. Steven milks cows Two-thirds as fast as Shannon. How fast does Steven milk cows?

A. One and one-third gallons per minute
B. One and two-thirds gallons per minute
C. Two and two-thirds gallons per minute
D. Three and three-fourths gallons per minute

Answers

Answer:

B

Step-by-step explanation:

1 and 2 thirds gallons per minute

Find the surface area of the prism. PLZ HELP

Answers

Answer:

180 cm

Step-by-step explanation:

Surface Area = 2(length * width + length * height + width * height)

S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)

S.A. = 180 cm.

Factorise 28x+30......​

Answers

Answer:

2(14x +15)

Hope it helps

......

2(14x+15)

I think that this I correct

Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2

Answers

In this problem, we have a pair of like terms in our x terms.

3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.

______________________________

Hey!!

3x and -2x are the like terms.

Explanation:

To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.

Hope it helps

Good luck on your assignment

_____________________________

(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3

Answers

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

YEAR 9 MATHS
PLEASE ANSWER ALL THREE QUESTIONS FOR BRAINLIEST
write all the coordinates down to make the shape please

Answers

Small triangle : (1,4), (3,1), (3,4)
The x: (3,2)
The big triangle: (-3,3), (-1,5), (-2,1)

(For the big triangle that is only correct if the black dot is the mirror line)

14th term of geometric sequence 10,20,40

Answers

Answer: 81920


Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).

To find the common ratio, we can simply divide the next term after the first (20/2=10).

So, an=10*2^(14-1).

After doing the parentheses and multiplication, we have 20^13, which is 81920.

Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?

Answers

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

TREC is a rectangle. What is the length of ET?

Answers

The distance between ET

7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)​

Answers

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

A. all real numbers
B. x≤0
C. x≥4
D. -2≤x≤2

Answers

Answer:

D. The true answer is D. -2<x<2

Subtract 4x4 + 2x2 +5 from the sum of 2x4 – 4x² – 3 and 3x4 – 3x2 +9.

Answers

Answer:

10

Step-by-step explanation:

can someone help me pls !!

Answers

Answer:

you're on a computer, you can literally just look up the answer.

Step-by-step explanation:

Evaluate −6 − (−4).
A. −10
B. 24
C. −2
D. 2

Answers

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

gasoline is stored in a cylindrical container that has a diameter of 13.8 meters and a height of 4.7 meters. which is closest to the amount of plastic needed to cover the entire container?

Answers

Answer:

V = 702.984763 m³

Step-by-step explanation:

radius r = 6.9 m

height h = 4.7 m

volume V = 702.984763 m³

lateral surface area L = 203.7637 m²

top surface area T = 149.571226 m²

base surface area B = 149.571226 m²

total surface area A = 502.906152 m²

In Terms of Pi π

volume V = 223.767 π m³

lateral surface area L = 64.86 π m²

top surface area T = 47.61 π m²

base surface area B = 47.61 π m²

total surface area A = 160.08 π m²

Agenda:

r = radius  = diameter/2

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Formula: Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?​

Answers

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]

           x = [tex]\frac{75 * 8}{10}[/tex]

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

Other Questions
a = 6 and b = 24 work out the values a) a+b b) ab c) b/a d) d) (a+b)^2 WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4? What biological link does the author establishbetween love and anger in the essay? Supportyour answer with textual evidence beforesummarizing this connection in your own words. The following information pertains to Blue Flower Company. Assume that all balance sheet amounts represent both average and ending balance figures. Assume that all sales were on credit. Assets Cash and short-term investments $ 45,000Accounts receivable (net) 30,000Inventory 25,000Property, plant and equipment 210,000 Total Assets $310 000 Liabilities and Stockholders Equity Current liabilities $ 60,000Long-term liabilities 95,000Stockholders' equity-common 155,000 Total Liabilities and Stockholders Equity $310.000 Income Statement Sales revenue $ 116,000Cost of goods sold 66.000Gross margin 50,000Operating expenses 30.000Net income $20,000 Number of shares of common stock 6,000Market pice of common stock $20Dividends per share on common stock .50Cash provided by operations $35,000 What is the inventory turnover for this company? 1) 2.6 times 2) 4.6 times 3) 5.3 times 4) 0.38 time AppendixFofit and Lossman bought 10 bags for Rs 5,000. He sold 7 bags at Rs 550 each and the remainingbags at the rate of cost price. Find his profit percent. which is equal to 500? 9x+18=-20what does X = Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"? 1.) If two angles have equal measures, then the measure of each is 28 degrees. 2.) If two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees. 3.) If each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures. 4.) If each of two angles does not have a measure of 28 degrees, then the two angles have equal measures. An attempt at synthesizing a certain optically active compound resulted in a mixture of its enantiomers. The mixture had an observed specific rotation of 14.1. If it is known that the specific rotation of the R enantiomer is 28.4, determine the percentage of each isomer in the mixture. g Which group did the Democratic Party appeal to the most?O A. The working classO B. MerchantsO C. BankersO D. The upper class I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3 will mark brainliest, need help. What are the benefits and risks of being acquired by a larger company? A perpendicular bisector runsthrough the middle of a linesegment and splits it intoA. two unequal piecesB. two congruent piecesC. three congruent pieces To what extent did 19th century reform movements promote democratic values? What is the quotient 5^-6 over 5^3 For Europe, the most positive result of the Congress of Vienna was that x / y = (y/x) - True] False which of these are health risks may be caused by sleep deficiency? A. cancer B. Diabetes C. lung disease D. Allergies ..solve the following as fast asyou can using the propertiesof additition and multiplicationa)365+94+35b)896+423+104c)379254d)891258Pls answer fast