Solve and show work.


1. x^2 + 3x - 4 = 0


2. 2x^2 - 4x - 3 = 0


3. x(x - 2) = 4


4. 9x^2 + 12x + 4 = 0


5. x^2 + 2x = 1

Answers

Answer 1

Answer:

1. x^2 + 3x - 4 =0

x^2 + 3x = 4

x + 3x = √4

4x = 2

x =2/4

x = 1/4

2. 2x^2 - 4x - 3 = 0

2x^2 - 4x = 3

2x^2 - x = 3/4

2x - x = √3/4

x = √3/4

3.x(x-2) = 4

x^2 - 2x = 4

x - 2x = √4

- x = 2

x = -2


Related Questions

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Answers

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with [tex]n[/tex] sides is given by:-

[tex](n-2)\times180^{\circ}[/tex]

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. [tex](n-2)\times180^{\circ}=1920^{\circ}[/tex]

[tex]n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67[/tex]

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

The graph models the amount of radioactive element present over the course of a 10-minute experiment.



What is the average rate of change of the amount of the element over the 10-minute experiment?

A.
-2.0 g/min

B.
-5.0 g/min

C.
-0.2 g/min

D.
-1.8 g/min

Answers

Answer:

D is the answer - 1.8 g/min

Step-by-step explanation:

Given the square below, what is the value of s? Answer should be written as a fraction.
Area = 4/9


Answers

Step-by-step explanation:

s = 2/3

because A = SxS = 2/3 x 2/3 = 4/9

s=?
A=4/9 ft sq
A=s^2
s^2=4/9
s= √4/9
s=2/3 ft

help on this pls! thank u!

Answers

Answer:

Step-by-step explanation:

Write as a square of a binomial

4.8xy+36y^2+0.16x^2

Answers

(15y+x)^2

That’s your answer. I hope i helped!

Estimate the sum 4.86+9.57​

Answers

Answer:

about 14 or 14.3 to be more specific

Step-by-step explanation:

Step-by-step explanation:

here is the my estimation for this is is 14.43

Help!!! I don’t get this

Answers

S, sample space :

all the possible outcomes of an experiment

number × sampel space = 8

Answer :

D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

*answer can get from the list of sample space (in pic)

Answer :

A.

* answer can get from the final of tree diagram (in pic)

The ratio of the number of boys to the number of girls in choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir A. 75. B. 61. C. 48. D. 80

Answers

the answer is actually A.B

Answer:

A

Step-by-step explanation:

60÷4 = 15

5×15=75, that's how many boys

whats the radius and center of (x+4)^2+(y-2)^2=9

Answers

I believe the center would be (-4,2) while the radius should be 3.

Divide 63 ml in the ratio 2:3:4

Answers

Answer:

21ml/2

Step-by-step explanation:

45 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!! If △EFG (purple triangle) is the image of △ABC (blue triangle), how could △EFG have been created? Graph A. △ABC was reflected over the x-axis to create △EFG. B. △ABC was reflected over the y-axis to create △EFG. C. △ABC was rotated 360∘ about the origin to create △EFG. D. △ABC was rotated 180∘ about the origin to create △EFG.

Answers

The answer c is correct.

What is the image point of (-1, 1) after a translation right 2 units and
down 1 unit?

Answers

1,0 should be right :)

Ms. Applegate rented a car for a vacation. She had to pay $15 to rent the car. Then, she paid $10 per
day while she used the car. If the final bill was $45, how many days did Ms. Applegate rent the car
for?

Answers

Answer:

she used the car for 3 days

Step-by-step explanation:

1. = 10$

2. =10$

3. =10$

the rent was 15$ so 30 + 15 =45$

Answer:

yay i got the spam answerer reported

Step-by-step explanation:

Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8

Answers

Answer:

8

Step-by-step explanation:

1/2 goes to 3/4.. 5/8 goes to 3/4 as well, and both of them together would be 1

hi could you help my sister with function tables shes in elementary school​

Answers

Answer:

L- 23

P-53

O-28

U-43

H-58

Step-by-step explanation:

For this question you must simply replace N in the equation with the number in every letter for example L is 23 because a = 5 x (4) + 3, thus these are your answers!

Answer:

n=4   a=23

n=10  a=53

n=5   a=28

n=8   a=43

n=11   a=58

I dont know what the letter are for but here ya go.

Hope this Helps your sister! :)

What is the y intercept 8th math

Answers

Answer:

(0,1)

Step-by-step explanation:

the y intercept is when x = 0

Answer:

(0.3) , That's It love hope this works

pls help 20 points!!

Answers

Answer:

[tex]\huge\boxed{\sf 18 cm\²}[/tex]

Step-by-step explanation:

The figure consists of 2 rectangles.

Rectangle 1 Area:

Length = 5 cm

Width = 2 cm

Area = Length * Width

A = 5 * 2

A = 10 cm²

Rectangle 2 Area:

Length = 4 cm

Width = 2 cm

Area = 2 * 4

A = 8 cm²

Area of the whole figure:

= Rectangle 1 + Rectangle 2

= 10 + 8

= 18 cm²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

[tex]\Large \boxed{\sf 18 \ cm^2}[/tex]

Step-by-step explanation:

Split shape into two rectangles

Calculate area of the two rectangles and add them

[tex]6\times 2+3 \times 2=18[/tex]

Last week, Lisa drove 12 meters to visit her uncle. Is it meters, centimeters, kilometers, or millimeters?

Answers

Answer:

meters

Step-by-step explanation:

judging by the fact that it says meters i'd say that's the answer. hope this helps :)

cramers rule
hurry up plzzz​

Answers

Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136

During a 40% off sale, Tessa pays $24 for a sled. What was the original price?

Answers

Answer:

$33.6

Step-by-step explanation:

24*1.4=33.6

the 1.4 represents the added 40% to find the original price of the sled

Answer:

original price = 40

Step-by-step explanation:

make an equation using the information given in the question, x will represent the original price

x - 0.4x = 24

or

x - 2/5x = 24

solve for x

x - 2/5x = 24

3/5x = 24

x = 40

what is the solution of the system equation?
y=3x+7
y=x-9

Answers

Answer:

y=-17, x=-8

Step-by-step explanation:

x-9=3x+7

Isolate x for x-9=3x+7;

x-9=3x+7

Add 9 to both sides:

x-9+9=3x+7+9

Simplify;

x=3x+16

Subtract 3x from both sides;

x-3x=3x+16-3x

Simplify;

-2x=16

Divide both sides by -2;

-2x/-2=16/-2

simplify: -2x/-2

=x

Simplify 16/-2:

x=-8

For y=x-9 substitute x=-8;

y=-8-9

Simplify;

y=-17

The solutions to the System of equations are;

y=-17, x=-8

PLEASE HELP ME ASAP! I WILL GIVE YOU BRAINLIEST!!!!

Answers

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

PLS HELP ME I WILL GIVE YOU BRAINLIEST!

Answers

43.96/14

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The diagram below shows the contents of a jar from which you select marbles at random.

An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.

What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?

Answers

Answer:

A:

probability of red = 4/16 = 1/4

prob(blue) = 7/16

probability of red, then blue is (1/4)(7/16) = 7/64

B:

probability red = 1/4

probability blue = 7/15

probability of red, then blue = (1/4)(7/15) = 7/60

c) your decision

Step-by-step explanation:

i took the test

The solution is,

A. 7/64 is the probability of selecting a red marble, replacing it, and then selecting a blue marble.

B. 7/60 is the probability of selecting a red marble, setting it aside, and then selecting a blue marble.

C. the answer is no.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given,

There are 4 red marbles.

There are 7 blue marbles.

There are 5 green marbles.

There are 16 marbles in total.

A:

Answer = (probability of selecting a red marble)(probability of selecting a blue marble)

First, the probability of selecting a red marble.

probability of red = 4/16 = 1/4

probability(blue) = 7/16

probability of red, then blue is (1/4)(7/16) = 7/64

B:

Answer = (probability of selecting a red marble)(probability of selecting a blue marble)

First, the probability of selecting a red marble.

probability red = 1/4

probability blue = 7/15

probability of red, then blue = (1/4)(7/15) = 7/60

c) obviously,

7/64 ≠ 7/60

So the answer is no.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Help
If 4r = 24, then r=

Answers

Answer:

6

Step-by-step explanation:

Given,

4r = 24

[tex] = > r = \frac{24}{4} [/tex]

=> r = 6(Ans)

Answer:

6

Step-by-step explanation:

4r = 24

r = 24/4

r = 6

❌❌❌WILL GIVE BRAINLIEST

Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.

Answers

Answer: n=1,2,3

Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3.  2*3+3*3=15     5*3=15

Hope this helps!

The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA

Answers

The answer should be y=6

Tia's parents gave her $20 to spend at the spring carnival. she spends $5 on funnel cake and the rest on ride tickets. if each ride ticket how many tickets did she purchases

Answers

Answer:

okay so do 20-5=15 then divide how much each ticket costs and you get the answer.

Find the distance between the points (-1,4) and (2,4).

Answers

Answer:

3

Step-by-step explanation:

quadrilateral vwxy with vertices v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6): 18o from the origin

Answers

Given:

The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).

To find:

The vertices of the image of quadrilateral vwxy after 180° about the origin.

Solution:

If a figure rotated 180° about the origin, then the rule of rotation is

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, we get

[tex]v(-2,-1)\to v'(2,1)[/tex]

[tex]w(-5,-2)\to w'(5,2)[/tex]

[tex]x(-8,-7)\to x'(8,7)[/tex]

[tex]y(1,-6)\to y'(-1,6)[/tex]

Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are  v'(2,1), w'(5,2), x'(8,7), y'(-1,6).

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