Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2​

Answers

Answer 1

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer 2

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right


Related Questions

Solve the following system of equations by substitution.
y=-1
5x + 7y = -2

Answers

Answer:

(1,-1)

Step-by-step explanation:

Solve the equation 25z2 + 140 = −29 by using square roots.

Answers

Answer:

13i/5

Step-by-step explanation:

25z^2+140=-29      subtract 140 from both sides

25z^2=-169          now square root both sides.

[tex]\sqrt{25z^{2} }[/tex]=[tex]\sqrt{-169}[/tex]     a negative root forms i

5z=13i                    

z=13i/5

Answer:

z is 13i/5

Step-by-step explanation:

[tex]{ \sf{25 {z}^{2} + 140 = - 29}} \\ { \sf{25 {z}^{2} = - 169 }} \\ { \sf{ \sqrt{25 {z}^{2} } = \sqrt{ - 169} }} \\ { \sf{5z = \sqrt{169 \times - 1} }} \\ { \sf{5z = \sqrt{169} \times \sqrt{ - 1} }} \\ { \sf{5z = 13 \times \sqrt{ {i}^{2} } }} \\ { \sf{5z = 13i}} \\ { \sf{z = \frac{13i}{5} }}[/tex]

Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

geometric

x=number of terms

∑ 2(-5)^(k-1)

k=1

Step-by-step explanation:

the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)

x=number of terms

∑ 2(-5)^(k-1)

k=1

for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term


[tex]2 \times 1 + 52 - 36 \div 2[/tex]
Solve according to BODMAS.​

Answers

Answer:

Solution :

To solve the above equation we will follow the BODMAS rule.

>> BODMAS is an order of mathematic operations.>> BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}[/tex]

Solving the question by bodmas rule :

[tex] \tt{ = 2 \times 1 + 52 - 36 \div 2}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - \dfrac{36}{2}}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - \cancel{\dfrac{36}{2}}}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - 18}[/tex]

[tex] \tt{ = 2 + 52 - 18}[/tex]

[tex] \tt{ = 54 - 18}[/tex]

[tex] \tt{ = {\underline{\underline{\red{ \: 36 \: }}}}}[/tex]

Hence, the answer is 36.

a circle in the xy plane has a center at (3/4, 1/2)

Answers

Answer:

(x - 3/4)^2 + (y - 1/2)^2 = r^2

Brainliest, please!

Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(x - 3/4)^2 + (y - 1/2)^2 = r^2

We do not have enough information to find the radius. Were you given another point that lies on the circle?

Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values

Answers

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

d =(√3−(−2√3))2+(−√2−5√2)2

Answers

Answer:

99

Step-by-step explanation:

(√3−(−2√3))^2+(−√2−5√2)^2

Subtracting a negative is like adding

(√3+(2√3))^2+(−√2−5√2)^2

Taking the first term

(√3+(2√3))(√3+(2√3))

sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3)  + (2 sqrt(3))^2

3 + 2 *3 + 2*3 + 4*3

3 +6+6+12

27

Second term

(−√2−5√2)(−√2−5√2)

-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))

2 +5*2 +5(2) +25(2)

2+10+10+50

72

Add the two terms together

27+72

99

Answer:

d = 6(√3 - 2√2)

Step-by-step explanation:

d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2

d = (√3 + 2√3)   * 2 + (-√2 - 5√2) * 2

d = 3√3              * 2 + (-6√2)         * 2

d = 6√3                   + (-12√2)

d = 6√3 - 12√2

d = 6(√3 - 2√2)

Solve the equation step by step

Answers

Let x be the amount of salt in the solution.

At day's end, the concentration of salt in the beaker is

x / (4 L) = 0.08 = 8%

Solve for x to get

x = 0.08 (4 L) = 0.32 L

So at the beginning, the concentration of salt in the beaker was

(0.32 L) / (5 L) = 0.064 = 6.4%

Divide. Write your answer in simplest form.

−0.18÷0.03=

Answers

HI THERE

the answer is -6

#YoghurtCup

What is the length of AC?

Answers

Answer:

B) 4 miles

Step-by-step explanation:

the big triangle CAB and small triangle CED are simular (given)

this means the ratio between their corresponding sides will be the same.

find corresponding sides with alternate interior angle theorem

m CDE= m CBA

vertical angles theorem

m ACB = m DCE

therefore, AC corresponds to CE

find ratio of sides

7 miles = 36960 feet

36960/ corresponding side 21 ft

36960/ 21= 1780 ft

multiply by 1780 to get from small side to big side

small side CE = 12 ft

12*1780

=21120 ft =AC (in ft)

convert to miles (ft to miles is ft/5280)

21120/5280

=4 miles

hope this helps

homework 3 distance and midpoint formulas
find the distance between each pair of points
-6' -5 and 2' 0

Answers

Step-by-step explanation:

-6-2=-8

-5-0=-5

-8^2+-5^2=64+25=89

square root of 89=9.4

jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them​

Answers

Answer:

jojo is 26

esi is 13

and kweku is 8 years old.

Step-by-step explanation:

Let esi's age be x then jojo's age is 2x.

Also kweku's age is x - 5. as esi is 5 years older than kweku.

So  x + 2x + x - 5 = 47

4x = 47 + 5 = 52

x = 13.

So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.

Help school is so bad

Answers

Answer:

7.A (5,1)

B(5,7)

8. D (0,6)

Step-by-step explanation:

7.  One vertex is at (5,4)

Move 3 units either direction in x

(5-3,4) = (2,4)

(5+3,4) = (8,4)

Or move 3 units in the y direction

(5,4+3) = (5,7)

(5,4-3) = (5,1)

If x is less than 2 or greater than 8 it is too far from the one vertex we are given

If y is less than 1 or greater than 7 it is too far away from the one vertex we are given

C cannot be a vertex since y =9

D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away

E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away

8.  The center is (0,0)

The points have to add to a radius of 6

r^2 = 36

The sum of the x^2 and y^2 = 36

3^2 +0^2 = 9

4^2 +2^2 = 16+4 = 20

5^2 +3^2 = 25+9 = 34

0^2+6^2 =36  yes  for D

4^2 +4^2 =16+16 = 32

1^2+5^2 = 26

Please help me out on these. ASAP I will mark you as brainliest if you do and if your answers are right :))

Answers

Answer:

1.6

2. Honestly, I think it is, because it repeats at regular intervals. The period is -2.

Step-by-step explanation:

help for abunch of points.

Answers

Answer:

It was reflected over the line x-1 or D.

Step-by-step explanation:

The triangle is no longer in the second quadrant, it moved to the 3rd quadrant meaning it had to be reflected over line x-1

PLS HELP ME ON THIS QUESTION I WILLL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

B) Range

Step-by-step explanation:

Hope this will help you

Answer:

Range

Step-by-step explanation:

I hope this will help buddy

What is the value of 2.3 + 8 – 1/2?

a ) 10.8
b) 10.03
c) 9.8
d) 9.5

Answers

Answer:

9.8

Step-by-step explanation:

2.3 + 8 – 1/2

Rewriting the fraction as a decimal

2.3 + 8 – .5

9.8

the answer is C. 9.8

8 0/1 as a improper fraction

Answers

Hey there!

8 0/1

8 * 1 + 0/1

= 8 + 0/1

= 8/1

Therefore your answer is most likely: 8/1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

the exterior angle of a regular polygon is 36°. what is the name of this polygon?

Answers

Answer:

Answer:

the polygon name is decagon

Step-by-step explanation:

sum exterior angles is 360

10 sides

360÷10=36

Answer:

decagon

Step-by-step explanation:

[tex] \frac{360 \degree }{size \: \: of \: \: \: \: the \: \: exterior \: \: angle} = number \: \: of \: \: sides \\ \\ \frac{360}{36} = 10 \: \: sides \\ [/tex]

Name of the polygon which has 10 sides is decagon

6 ^ 2 equals to 6 ^ 10​

Answers

No it doesn’t man 6^2 is 36 and 6^10 is 60466176.

Evelyn wants to buy a dictionary that costs $9, a dinosaur book that costs $18, and a children's cookbook that costs $12. She has saved $30 from her allowance. How much more money does Evelyn need to buy all three books?

Answers

Answer:

First, you have to add 9, 18, and 12. When we add this we get 39. She has 30 dollars, do we can see that she needs $9 more to get all three books.

Step-by-step explanation:

What is the surface area of a cube measure 8 c/w?​

Answers

Answer:

512

Step-by-step explanation:

if 8 is the edge using the formula

V=a³=8³

V=512

"Find the area and the circumference of a circle with diameter of 8m"

Answers

Radius = diameter/2 = 8/2 = 4m

Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2

Circumference = pi x diameter = 8pi m ( exact) or 25.12 m

Answer:

C = 25.12 A = 50.24

Step-by-step explanation:

Circumference formula = dπ

Area formula = πr^2

Circumference:

Plug in:

8 × 3.14 = 25.12

Area:

8/2 = 4

r = 4

Plug in:

πr^2

π4^2

16π

16 × 3.14 = 50.24

Hope this helped.

The area of the school garden is 31 1/4 ft. If the width is 6 3/5 ft, find the length.

Answers

Answer:

The length of the school garden is 4  97/132 feet

Step-by-step explanation:

Divide 31  1/4 by 6  3/5.

125/4 divided by 33/5 = 625/132

625/132 = 4  97/132

Hope this helps :)

The length of garden is 625/ 132 ft

what is area of rectangle?

The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension

Area of a Rectangle. A = l × b.

Given:

area of garden = 31 1/4 ft = 125/4

width = 6 3/5 ft = 33/5 ft

Now, area of garden

=length * width

125/4 = length * 33/5

length= 125/4 * 5/33

length = 625/ 132 ft

Learn more about area of rectangle here:

https://brainly.com/question/8663941

#SPJ2

A can do a piece of work in 3 days and B in 6 days. In how many days will they do it together? ​

Answers

Answer: 2 days

Step-by-step explanation:

We will add there work together

= 1/3 + 1/6

= 2/6 + 1/6 (LCM 6)

= 3/6

= 1/2

Therefore 1/2 = 2 days

Therefore it will take them 2 days

please click thanks and mark brainliest if you like :)

After a 15% increase January receives a new salary of R23000. What was his salary before the increase

Answers

Answer:

His salory before Increse is 17250

You can increase by 15% by multiplying by 1.15.
Old salary x 1.15 = R23000
Old salary = 23000 / 1.15 = R20000

I need help ASAP!!Please explain how to solve the problem

Answers

Answer:

( x - 2 )^2 + ( y - 1 )^2 = 1

Step-by-step explanation:

As i previously explained,

The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.

h and k are the co-ordinates of the center of circle and r is the radius

Here, We have (2,1) as the co-ordinates of the center of circle

Now,

( x - h )^2 + ( y - k )^2 = r^2

or,( x - 2 )^2 + ( y - 1 )^2 = r^2

The radius of the circle is 1 units(from figure)

So, put that in, we get

( x - 2 )^2 + ( y - 1 )^2 = 1^2

or, ( x - 2 )^2 + ( y - 1 )^2 = 1

You can simplify this or leave it here.

K is between J and M. L is
between K and M. M is
between K and N. If JN = 30, KM = 8, and JK = KL = LM, what is MJ?

(please do step-by-step fully)

Answers

Answer:

12

Step-by-step explanation:

for this you need to draw a straight line and plot the points J,K,L,M,N according to the question.

here,

given K lies between J and M, L is between K and M , M is between K and N.

JN= 30, KM=8

JK=KL=LM

MJ= ?

according to the question,

J--------K-------L--------M-------N

KM= 8

KL+LM= 8 (KL+LM=KM)

KL+KL=8 ( given, LM=KL)

2KL= 8

KL=4

so,

JK= KL=4 and LM= KL= 4

now,

MJ= ?

we know

MJ= JK+KM = 4+8= 12

Given positive integers x and y such that x doesn't equal y and $1/x+1/y=1/18$ what is the smallest possible value for x+y?

Answers

Answer:

Hello,

[tex]\boxed{Answer: 75}[/tex]

Step-by-step explanation:

x,y integers, x,y >0 ,x≠y

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\[/tex]

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\[/tex]

B
16 m
A
С
20 m -
Find the area of AABC.
[?] ml
Enter

Answers

Answer:

A = 60 m^2

Step-by-step explanation:

The area of a triangle is

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

A = 1/2 (20)*6

A = 60 m^2

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