Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9 3/8 inches

Step-by-step explanation:

Inches of candle : hours it burned

= 5 inches : 4 hours

How far has it burned after 7 1/2 hours?

Let

x = how far it has burned (inches)

Inches of candle : hours it burned = x inches : 7 1/2 hours

Equate both ratios

5 inches : 4 hours = x inches : 7 1/2 hours

5/4 = x ÷ 7 1/2

5/4 = x ÷ 15/2

5/4 = x * 2/15

5/4 = 2x/15

Cross product

5 * 15 = 4 * 2x

75 = 8x

x = 75/8

x = 9 3/8 inches

x = how far it has burned (inches) = 9 3/8 inches

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

Answer:

2e12

Step-by-step explanation:

Answer:

tan r = 35/12

Step-by-step explanation:

you use the rule tan=opposite/adjacent

The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular  / base
from given,
tan (R) = 35 / 12

Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

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Answer:

5/6

Step-by-step explanation:

See the steps below:)

Answer:

5/6

Step-by-step explanation:

PEMDAS

Answer:

Add 4 to both sides of the equation

8n-4=52

8n-4+_4=52+_4

Answer:

B. four less than three times a number

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

Step-by-step explanation:

y= mx+ b helps you find the equations of the lines

y= x+2 is the line with slope m=1, and y-intercept b=2

y= -4x-3 is the line with slope m=-4, and y-intercept b=-3

y > x+2 because is a dotted line

y ≤ -4x-3 because is a solid line

Answer:

aha i see yo bbg

Step-by-step explanation:

(lipbite)

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratio to get answer

Answer:

[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]

[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]

[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Answer:

x = 4.4

Step-by-step explanation:

Flat cost = $57.5/month

Cost of 1GB = $4

But Aubrey wants to keep her bill at $75.1/month.

Let 'x' be the number of GBs she can use while staying within her budget.

So, the equation will be → 4x + 57.5 = 75.1

Now, solve the equation :-

[tex]=> 4x + 57.5 - 57.5 = 75.1 - 57.5[/tex]

[tex]=> 4x = 17.6[/tex]

[tex]=> \frac{4x}{4} = \frac{17.6}{4}[/tex]

[tex]=> x = 4.4[/tex]

Answer:

25 squared cm

Step-by-step explanation:

Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])

h = height

[tex]b_{1}[/tex] = base 1

[tex]b_{2}[/tex] = base 2

A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)

A = 25

Answer:

11

Step-by-step explanation:

dont forget to five-star and heart!

Answer:

The answer would be 96

Step-by-step explanation:

Because 20/2=10x2=20

                         19x4=76

20+76=96

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm

The expression on the left matched with an equivalent expression on the right are;

3x + 0 = 3x

5/3 - x + 1/3 = -3/2x + 2 + 1/2x

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5 = -6.9 + 4.9

3x + 0 = 3x

5/3 - x + 1/3

combine like terms

= 5/3 + 1/3 - x

= (5+1)/3 - x

= 6/3 - x

= 2 - x

-3/2x + 2 + 1/2x

combine like terms

-3/2x + 1/2x + 2

= (-3+1)x / 2 + 2

= -2/2x + 2

= -x + 2

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5

= (3-13)/5

= -10/5

= -2

-6.9 + 4.9

= -2

Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.

Read more on equivalent expression:

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Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

Answer:

17 just multiply the like dot product of vectors

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

Answer:

64 builders must be employed to build a house in 16 days

Answer:

382 in ^3

Step-by-step explanation:

Answer:

1)  yes, SAS

2)  yes, AAS

3)  yes, SAS

4)  not enough information to know

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

Answer:

48

Step-by-step explanation:

[tex]a = 12, \ b = 6, \ c = 3\\\\b^2 - c^2 + (a+ b+c) = 6^2 - 3^2 + (12 +6+3) = 36-9+21 = 48[/tex]

Answer:

2-12+(++)

b^{2}-1c^{2}+(a+b+c)

b2−1c2+(a+b+c)

Simplify: 1

Eliminate redundant parentheses

2−12+(++)

b^{2}-1c^{2}+(a+b+c)

b2−1c2+(a+b+c)

2−12+++

b^{2}-1c^{2}+a+b+c

b2−1c2+a+b+c

Solution: 2−12+++

b^{2}-1c^{2}+a+b+c

b2−1c2+a+b+c