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3 years ago

Factorise x — 5x - 6

Mathematics

2 answers:

Scilla [17]3 years ago

7 0

X(1-5)-6 , sorry if the answer is wrong

hichkok12 [17]3 years ago

5 0

Step-by-step explanation:

x-5x-6=0

x-5x=6+0

4x=6

x=6

x=3

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mrs_skeptik [129]

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3 years ago

TIMED QUESTION Which are the roots of the quadratic function f(b) = b2 – 75? Select TWO options.

Setler [38]

Answer:

$b=5\sqrt{3}$ (b = 5 StartRoot 3 EndRoot)

and

$b=-5\sqrt{3}$ (b = Negative 5 StartRoot 3 EndRoot)

Step-by-step explanation:

we have

$f(b)=b^{2}-75$

we know that

The roots of the quadratic function are the values of x when the value of the function is equal to zero

For f(b)=0

$b^{2}-75=0$

Solve for b

Adds 75 both sides

$b^{2}=75$

take square root both sides

$b=(+/-)\sqrt{75}$

Simplify

$b=(+/-)5\sqrt{3}$

therefore

$b=5\sqrt{3}$ (b = 5 StartRoot 3 EndRoot)

and

$b=-5\sqrt{3}$ (b = Negative 5 StartRoot 3 EndRoot)

6 0

3 years ago

Read 2 more answers

PLEASE HELP PLEASE HELP

xxTIMURxx [149]

Answer:

{-3, 2, 3, 5}

Step-by-step explanation:

The <em>domain</em> of the inverse function is the <em>range</em> of the function. The y-values are already in numerical order: {-3, 2, 3, 5}.

3 0

3 years ago

I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inc

kupik [55]

Answer:

The perimeter of the picture frame is 38.4 in.

The area of the picture frame is 92.6 in.².

Step-by-step explanation:

The given information are;

Perimeter of side piece of picture frame = 24 inches

Length of side piece = L

Width of side piece = W

Perimeter of side piece = 2 × (L + W) = 24

∴ L + W = 24/2 = 12 inches

Dimension of picture frame = Square frame with side length s

Number of side piece in picture frame = 4

Given that the length L > the width W, we have

Side length of wooden frame = L

Also, where the side piece are placed side by side, we have;

Side length of wooden frame = 4 × W

Therefore;

4 × W = L

Which gives

L + W = 12 inches

4 × W + W = 12 inches

W×(4 + 1) = 5·W = 12 inches

W = 12/5 = 2.4 inches

L = 4 × W = 4 × 12/5

L = 48/5 = 9.6 inches Side length of wooden frame, s

The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.

The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².

7 0

3 years ago

A rectangular tank, 25 cm long and 25 cm wide is filled with water to a depth of 10 cm. When a metal cube of edge 10 cm is place

Sophie [7]

The problem involves the volume of the water of the rectangular tank, so first we must find the volume of our water. For the volume we have;

$\begin{gathered} \text{Volume = Lenght x Width x Height} \\ V_{water}_{}_{}\text{ = 25 x 25 x 10} \\ V_{water}=6250cm^3 \end{gathered}$

Therefore our tank has an initial volume of 6250 cm³, but if you drop a cube with a side measuring 10 cm. the volume of the water in our tank increases. Giving us the expression;

$\begin{gathered} \text{Volume Combined = Volume of Water + Volume of Cube} \\ V_{comb}=V_{water}+V_{cube} \end{gathered}$

Since we already have the volume of the water (which is 6250), we just need to find the volume of the cube using the same formula (<em>Volume = Lenght x Width x Height</em>);

$\begin{gathered} V_{comb}=V_{water}+V_{cube} \\ V_{comb}=V_{water}+(Lenght_{cube})(Width_{cube})(Height_{cube})_{}_{}_{} \\ V_{comb}=V_{water}+10(10)(10) \\ V_{comb}=6250+1000 \\ V_{comb}=7250cm^3 \end{gathered}$

Therefore our new volume when they are combined or when the cube is droped in the tank is 7250 cm³.

But we must remember since our tank would remain it's shape no matter how much water it holds it would always retain it's dimension of it's lenght and width (25x25), therefore it is possible to find the height of the new water level using this logic;

$\begin{gathered} V_{comb}=(Length_{\tan k})(Width_{\tan k})(Height_{water}\text{)} \\ V_{comb}=(25)(25)(Height_{water})\text{ , with our }V_{comb}=7250 \\ 7250=625(Height_{water}) \\ \text{Height}_{water}=\frac{7250}{625} \\ \text{Height}_{water}=11.6\text{ cm} \end{gathered}$

Therefore the height of the new water level is 11.6 cm.

7 0

1 year ago

Factorise x — 5x - 6​

Factorise x — 5x - 6