Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.​

Answers

Answer 1

Answer:

no, it is not

Step-by-step explanation:

STEP 1: Simplify (x−1)(x+2).

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

STEP 2: Move all terms containing x to the left side of the equation.

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

STEP 3: Move all terms not containing x to the right side of the equation.

[tex]x^2=5[/tex]

STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.

[tex]x=[/tex]±[tex]\sqrt{5}[/tex]

STEP 5: The complete solution is the result of both the positive and negative portions of the solution.

[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]


Related Questions

A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?

Answers

Answer:

$17.50

Step-by-step explanation:

2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50

5/2 equals 2.50 so 2.50x7 equals 17.50

i need help with this asap! i will give brainliest!!

Answers

Answer:

97

Step-by-step explanation:

Angle on a straight line = 180

106 + ∠st = 180

∠st = 180 - 106 = 74

x = ∠st + 23

= 74 + 23

= 97

Answer:

51 degrees

Step-by-step explanation:

This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.

Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)

Answers

Answer:

a, b, d. Yes c. No

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

Yes

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

Yes

c. 6 * 50 + 3  = 303

No

d. 6 * (50 + 3) = 6*53

Yes

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

In triangle ABC, angle BAC = 90
Work out the size of angle DAC AND DCA?

Quick plz:)

Answers

Answer:

Easy man it 9999

Step-by-step explanation:

Simplify (W^4)^4 without parentheses

Answers

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.

Answers

ok so radius round the answer

ldentify the location of the values used to create a box
plot.

A=
B=
C=
D=
E=

Answers

A minimum
B Q1 ( first quartile )
C Median
D Q3 ( third quartile)
E maximum

I hoped that helped.

Answer:

A minimum

B Q1 ( first quartile )

C Median

D Q3 ( third quartile)

E maximum

Step-by-step explanation:

HOPED THIS HELPED YOU OUT! AND TO EVERYONE THAT NEEDS THE HELP WITH THIS QUESTION

have a GOD-LIKE day


Identify each pair of angles as corresponding, alternate interior, or alternate exterior.

9)
A alternate exterior
B corresponding
C alternate interior

10)
A) Corresponding
B) Alternate exterior
C) Alternate interior

Answers

Answer:

9)  Corresponding

(The agles correcpond off of reflection)

10)  Alternate interior

(The interior brings the negative side and flips it to the possative on the x axis)

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a wonderful day! :)

Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!

Answers

Answer:

11x^2 - 16x +4

Step-by-step explanation:

In order to simplify, add like terms

(8x^2-7x+2)+(3x^2-9x-6)

8x^2 + 3x^2 = 11x^2

-7x + -9x = -16x

-6 + 2 = 4

now the equation is 11x^2 - 16x +4

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

use the distributive property to find the answer to 21 x 4

Answers

Answer:

21(4)

Step-by-step explanation:

=84 that's all u have to do

Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?

Answers

36

because you add 36 6 times so 36×6= 216

Answer:

Well, 216 divided by 6 is 36,so...

Step-by-step explanation:

what are the missing angles?

Answers

Can we get a picture?

Solve the inequality​

Answers

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

x < 2 hope that helps

Help me please, thank you :)​

Answers

Answer:

300 children

Step-by-step explanation:

half hour: 25 children

1 hour: 25×2= 50 children

6 hours: 50×6= 300 children

hope it helps ☺️!

300 kids in 6 hours

which of these is not a linear graph.​

Answers

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

WILL GIVE BRAIANLEST PLZZZZ HELP MEEE 50 POINTS
Elevator 1 in an office building moved from ground position to a final position of +12 feet. Elevator 2 in the same building moved from ground to a final position of −15 feet. Which statement best describes the final positions of these two elevators? (5 points)

Question 4 options:

1)

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1.

2)

Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above the position of Elevator 1.

3)

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below ground level.

4)

Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above ground level.

Answers

Answer: The answer would be option 3

Step-by-step explanation:

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

What is proportional reasoning and how does it help you solve percent equations?

Answers

Answer:

We can't set up a proportion to solve for x in a percent equation. For example,   34/100=5/x

Step-by-step explanation:

Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]

Answers

If you mean to find 4 cos(2a), then recall the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

so that

4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)

150 pounds to 135 pounds

Answers

Answer:

15 pounds

Step-by-step explanation:

150-135

Answer:

15 pounds

Step-by-step explanation:

The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?

A. 45
B. 21
C. 95
D. 81

Answers

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

What is probability?

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


probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2


(b) 25% of what number is 17?

Answers

Answer:

68

Step-by-step explanation:

derive that 25 percent of 68 equals 17.

Answer:

25 percent of 68 equals 17.

Step-by-step explanation:

7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4

Answers

Answer:
Explanation:
3 = 2(4) + b
3 = 8 + b
3-8 = b
-5 = b
y = 4x - 5

PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!

Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?

A. Line AC
——————- = 2
A"C"

B. Line A" C" 1
————— = —
AC 2

C. Line A"C"
Line AC = —————-
2



D. Line AC
Line A"C" = —————
2

Answers

Answer: i dont understand the question can you please elaborate

Step-by-step explanation:

I can see the problem sir

Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd

Answers

Answer:

Add 3 to both sides.

2x=9+3

simplify 9+3 to 12

2x=12

Divide both sides by 12

x= 12

     2

simplify

x=12

what does x equal?

4x+7=31

Answers

The answer is x=6 !!!!

Answer:

x = 6

Step-by-step explanation:

First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .

Then divide both sides by 4 to remove the coefficient of x. That means x = 6.

4x+7=31

    -7   -7

4x=24

÷4   ÷4

x  =  6

What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)

Answers

Answer:

Y2-y1

X2-×1 = m

-12-(-10)

11-5     = -2/3

m= -2/3

Step-by-step explanation:

Please help me ASAP
How many pavers are needed to cover the patio?

Answers

Answer:

270

Step-by-step explanation:

✔️Area of the Patio = bh

b = 12 ft = 144 in.

h = 10 ft = 120 in.

Area of Patio = 144*120 = 17,280 in.²

✔️Area of Brick Paver = bh

b = 8 in

h = 8 in

Area of the Brick Paver = 8*8 = 64 in.²

The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver

= 17,280/64 = 270

slope = 2; y-intercept = -1

Answers

Answer:

line equation: y= 2x-1

Slope intercept formula

y=mx+b

m is also the slope

b is the y-intercept

y=2x+(-1)

+ positive sign and -negative sign= - negative sign

y=2x-1

Answer :

y=2x-1

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