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3 years ago

15

Suppose a 16-sided die was rolled. Fill in the information [6 mks]

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

No idea

Step-by-step explanation:

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Math 1 pic attached

Goshia [24]

Answer:

D.

Step-by-step explanation:

(f - g) (x) ➡ f(x) - g(x)

5x - 2 - 2x - 1 = 3x - 3

4 0

4 years ago

Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l

balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle $=527\ inches^{2}$

Solution:

We know that the area of the rectangle.

$Area\ of\ rectangle = length\times width$

$w(2w-3)=527$

$2w^{2}-3w-527=0$

Now, we first find the root of the above equation.

Use quadratic formula with $a=2, b=-3, c=-527$ .

$t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put a, b and c value in above equation.

$w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}$

$w=\frac{3\pm \sqrt{9+8\times 527}}{4}$

$w=\frac{3\pm \sqrt{9+4216}}{4}$

$w=\frac{3\pm \sqrt{4225}}{4}$

$w=\frac{3\pm 65}{4}$

For positive sign

$w=\frac{68}{4}$

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

$Length = 2\times w-3$

$Length = 2\times 17-3$

$Length = 34-3$

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

5 0

4 years ago

What is the slope of the line shown below?

Sophie [7]

Hi there!

$\large\boxed{slope = \frac{1}{5}}$

Use slope formula to solve for the slope of the line:

$slope = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Plug in points into the equation. We can use the points (0, -10) and (25, -5):

$slope = \frac{-5-(-10) }{25 -0 } = \frac{5}{25} = \frac{1}{5}$

3 0

3 years ago

PLEASE HELP!!!! Choose the best graph that represents the linear equation: 4x + y = 0 Graph A On a coordinate plane, a line goes

arlik [135]

Answer:

see graph...

B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).

Step-by-step explanation:

4 0

3 years ago

Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero.

dusya [7]

Answer:

If:

$a=x^{2}+4$ (1)

And we have to rewrite the following expresion in terms of $a$ :

${(x^{2}+4)}^{2}+32=12x^{2}+48$ (2)

Firstly we have to rearrange the right side of equation (2) in terms of $x^{2}+4$ , factorizing by the common factor:

${(x^{2}+4)}^{2}+32=12(x^{2}+4)$

Then, we can substitute $x^{2}+4$ by $a$ :

$a^{2}+32=12a$

And set it equal to zero:

$a^{2}-12a+32=0$ >>>>This is the resulting equation

Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).

In this case, the variable is $a$ and the number that multiplies the variable (the coefficient) is $-12$ , whereas the constant (which is the term with no variable) is $32$

6 0

3 years ago

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