factorise first then solve these equations

1.

x^2+5x+4=0

2.

a^2+7a+12=0

Answer:

-44x - 105

Step-by-step explanation:

1) Add the numbers

3 1 − 1 0 5 − 6 5 − 1 0

2) Combine like terms

-44x - 105

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

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Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Answer:

y=X +1

……. M=1

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer:

1.

a. YU, ZV, WS

b. VU, WX, ST

c. ZW

d. WXY

e. TSW

f. VU, TU, ZY, XY

g. VS, WS, ZV, XW, YZ, ZW

2.

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

Step-by-step explanation:

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation:

Answer:

(2-c)=d

Step-by-step explanation:

completing the square

hope it can help you lovelots

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

Answer:

400

cause 4 is in the hundreds column

Answer:

Exact Form: x = 10/7

                                 ______

Decimal Form: x = 1.428571

Mixed Number Form: x = 1 3/7

Hope this helps, have a nice day/night! :D

If this helped please mark this as brainliest!

Answer:

In the picture

Step-by-step explanation:

Good luck!

answer :243

this should be helpful

Answer:

its b i took the test

Step-by-step explanation:

its b

Answer:

The dimensions can be 6 inches by 10 inches

Answer:

english?

Step-by-step explanation:

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Answer:

They are similar triangles so the sides are equal

3y-2=y+4

2y=6

y=3

so we can insert y=3 to calculate the side length

3y-2=3*3-2=7=PR side

calculate the perimeter:

4+6+7=17ft

Step-by-step explanation:

Add the lengths.of all sides together

4+6+(3y-2)

= 4+6+3y-2

=8+3y ft

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

a. 3x - 6 = 4(2 - 3x) - 8x

⇛ 3x - 6 = 8 - 12x - 8x

⇛ 3x + 12x + 8x = 8 + 6

⇛ 23x = 14

⇛ x = 14/23

b. 1/2z + 6 = 3/2(z + 6)

⇛1/2z + 6 = 3/2z + 9

⇛ 1/2z - 3/2z = 9 - 6

⇛ -z = 3

⇛z = -3

c. 9 - 7w = 8w + 8

⇛ - 7w - 8w = 8 - 9

⇛ -15w = -1

⇛ w = 1/15

a) Keith's car will have less gas.

Locate the point in which miles driven = 90 (Between 60 and 120)

Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

Answer:

10.25

Step-by-step explanation:

You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25

Answer:

it's angle not angel.

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

Answer:

you got to do it

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

Ok

Answer:

1225

350/2=175

175 x 7 = 1225