The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?

Answer:

x = 41

y = 24

Step-by-step explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

  -4x -14y = -500

(+)   4x - y = 140  

          -15y = -360

             y = [tex]\frac{360}{15}[/tex]

            y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x = [tex]\frac{164}{4}[/tex]

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1),   -2(41) - 7(24) = -250  [True]

Equation (2),   4(41) - (24) = 140  [True]

Answer:it’s 41 and 24

Step-by-step explanation:

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

Answer:

The answer is A

Step-by-step explanation:

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

Answer:

1.19

Step-by-step explanation:

Hope this helps :) I try to just get straight to the point so sorry for no work

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

Answer:

They are similar

Step-by-step explanation:

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

Answer:

1 in 8 chance.

Step-by-step explanation:

When a coin flips is has two outcomes: heads or tails, obviously.

Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes

1 coin: 2 outcomes

2 coins: 4 outcomes

3 coins: 8 outcomes

Another thing:

Don't be fooled by questions being specific by saying "all heads" or "all tails"...

This is a wording trick, no matter the outcome, the chances will always be equal.

Good luck :)

Answer:

1. D

2. A

Step-by-step explanation:

Brainliest please?

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

Step-by-step explanation:

I hope this helps you out. ☺

Answer:

1

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11

Answer:

The top of the ladder touches the tree 14 ft above the ground.

Step-by-step explanation:

The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):

x^2 + 10.5^2 = 17.5^2, or

x^2 + 110.25 = 306.25.  Then x^2 = 196, and x = +14  (Answer C)

The top of the ladder touches the tree 14 ft above the ground.

Answer: B) y=4n+8

Step-by-step explanation:

in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.

Hope it helped

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just multiply the 1 times 4

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

Answer:

(x-2)

----------------

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

------------     ÷ ---------------------

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

------------     *  ---------------------

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

------------     *  ---------------------

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

------------     *  ---------------------

x^2                     x

(x-2)

----------------

x^3

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Answer: 39/44

Step-by-step explanation:

3 1/4 = 13/4

13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44

The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.

To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.

To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.

3 1/4

= (3 x 4 + 1) / 4

= 13/4

Now we can multiply 3/11 by 13/4:

(3/11) x (13/4)

= (3 x 13) / (11 x 4)

= 39/44

Therefore, the product of 3/11 and 3 1/4 is 39/44.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ6

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Answer:

50%

Step-by-step explanation:

Answer:

1.76 tons

Step-by-step explanation:

12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

The correct statements are:

A) Several factors affect how sediment settles.

C) Moving water affects where sediment travels.

E) Sediments are carried by a transport medium.

I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:

Which statements describe characteristics of deposition? Check all that apply.

A) Several factors affect how sediment settles.

B) Sediment is added to a new surface location.

C) Moving water affects where sediment travels.

D) Rocks are broken into smaller particles.

E) Sediments are carried by a transport medium.

If this was not your question, then you can still relate to this, as the answer would be same.

Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.

Moving water affects where sediment travels.

Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.  

It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.

At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.

Learn more in https://brainly.com/question/20625095

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴