Solve this quadratic equation by factorisation:

2y² + 4y – 30 = 0

my answer is

(2y+6)×(y-5)
2y+6=0 or y-5=0
y=-3 or y=5
is that correct?

Answers

Answer 1

Answer:

Y=5 y=-3

Step-by-step explanation:

Two real solutions:

y =(2+√64)/2=1+4= 5.000

or:

y =(2-√64)/2=1-4= -3.000


Related Questions

100 POINTS! show work or i report!

Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?

Answers

Answer:

$4,720

Step-by-step explanation:

$4,000 fridge

$120/1 year

[tex]\frac{120}{1} = \frac{x}{6}[/tex]

120 * 6 = 720

720 / 1 = 720

$720 for 6 years

720 + 4,000 = 4,720

$4,720

Answer:

$4,720

Step-by-step explanation:

Solve this quadratic function

Answers

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]

now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]

[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]

What is the slope of the line that
passes through these two points?

Simplify your answer completely.
Enter

Answers

Answer:

2/6

Step-by-step explanation:

you move up to spaces and over six spaces

keenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?

Answers

Answer:

45

Step-by-step explanation:

divide 3.15 by 0.07 to get 45

Answer:45

Step-by-step explanation:

divide 3.15 by 0.07 answer 45

Are the triangles congruent! (Help)

Answers

No
For the two triangles to be congruent their corresponding angles should be equal.
Here they have different angles i.e. their corresponding angels are not equal
therefore they are not congruent

The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?​

Answers

Answer:

266.5%

Step-by-step explanation:

The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?​

213.2 : 80 = x : 100

x = 213.2 * 100 : 80

x = 266.5

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

check

266.5 - 20% = 213.2

the answer is good

which inequality represents this graph

Answers

Answer:

it would be the first one!

Answer:

z ≥ -10, which is the first answer.

Step-by-step explanation:

As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.

Find the slope of the line that passes through:
(-12,-5) and (0, -8)

Answers

-3/12 because you can find the slope/m by doing the change of y over change of x

What is the interior degree measure of angle A?

Answers

Answer:

in the picture

Step-by-step explanation:

opposite corners first, then adjacent corners, and so on

The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?

Answers

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.

what is multiple integrals​

Answers

multiple integral, In calculus, the integral of a function of more than one variable. As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume
multiple integral, In calculus, the integral of a function of more than one variable. As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume.

Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)

Answers

Answer: C

Step-by-step explanation:

Hope it help

A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?

Answers

Answer:

so no answer

Step-by-step explanation:

no answer

is it linear??? plzzzzz

Answers

Answer:

Not a linear function

Step-by-step explanation:

3xy = 27 is not a linear function.

A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form).   An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.  

Isolating y from the left-hand side:

3xy = 27  

On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy  is the same as expressing it as  3·x·y.  

We cannot simply add or subtract x or y to isolate either one of the variables.  The proper mathematical operation to do so is by division.

Hence, we must divide both sides by 3x to isolate y:

[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]

[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]   ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0.  The graph of an inverse function is a hyperbola.      

Attached is the graph of  [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]  to show why it is not considered as a linear function. A linear function will show a straight line.  

Solve the Linear Quadratic system of equations

y=x^(2)+2x-9
y=-2x+3

Answers

9514 1404 393

Answer:

  (x, y) = (-6, 15) and (2, -1)

Step-by-step explanation:

You can start by subtracting the second equation from the first.

  (y) -(y) = (x^2 +2x -9) -(-2x +3)

  0 = x^2 +4x -12 . . . . . . collect terms

  0 = (x +6)(x -2) . . . . . . . factor

Solutions for x are -6 and +2. These values make the factors zero.

The corresponding solutions for y are ...

  y = -2(-6) +3 = 15

  y = -2(2) +3 = -1

Solutions to the system of equations are ...

  (x, y) = (-6, 15) and (2, -1)

The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.​

Answers

Answer:

i: 14

ii: 140

iii: 770

(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.

Step-by-step explanation:

i: 650/40=14

ii: 14x10=140

iii: 14x55=770

HELP!! DUE IN 10 MINS!!!
Solve the following system using the elimination method.

x+y=12
x−y=12

Answers

Answer:

x = 12

y = 0

Step-by-step explanation:

Sum them:

2x = 24

so x = 12

12 - y = 12

so y = 0

Calculator
Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)

Answers

[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]

[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]

[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]

what if 5476 divided by 74? i need the working out too please!

Answers

I hope that the attachment helps you..

-6/5 - (-3/8)
Help please




Answers

Answer:

-0.825

Step-by-step explanation:

Did not know the options so do not know if this is right or not.

Here is ur answer.

- BRAINLIEST answerer

List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay ​

Answers

Answer:

no clue -0- if I knew I would tell you

what is the greatest common factor of
8x - 12

Answers

Answer:

4

Step-by-step explanation:

8x - 12

4(2x - 3)

4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12

Answers

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Help me with questions please​

Answers

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

Simplify the expression.5(z+4)+5(2−z)

Answers

Answer:

30

Step-by-step explanation:

Hope this helps!!! :))

25.3 + x= 32 what is the answer to this problem

Answers

Answer:

6.7

Step-by-step explanation:

Answer:

6.700

Step-by-step explanation:

hope this helped

Dependent Task:

Directions: Write the place value and the value of the underlined digit.

Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______


(UNDERLINED DIGIT)
1. 5
2.3
3.4


please​

Answers

Answer

Use your mind  

Nobody wants to help you, especially since you are no help to others.

Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B

Answers

Answer:

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me

Answers

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18

Use Pascal's Triangle to determine the sixth term of the expansion of (x + 5)^7

Answers

Pascal's triangle up to the 7th row (starting with 0)

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

Then the 6th term in the expansion of (x + 5)⁷ is

7 • x¹ • 5⁶ = 109375x

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