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2 years ago

What is the slope of the graph?

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Answer:

-4

Step-by-step explanation:

Slope can be found with $\frac{y2-y1}{x2-x1}$

Pick two points on the graph that the line runs through

(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2

Insert the coordinates into the formula

$\frac{0-4}{(-1)-(-2)}$

$\frac{-4}{-1+2}$

$\frac{-4}{1}$

Therefore the slope is -4

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State the value of the discriminant for the equation, 3x^2 + 7x + 3 = 0

Irina-Kira [14]

Answer: 13

Step-by-step explanation:

If you remember the quadratic equation formula;

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

You can easily extract what is under the root to find the discriminant.

$b^2-4ac=?\\$

a = 3

b = 7

c = 3

$(7)^2-4(3)(3)\\49-36=13$

7 0

3 years ago

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

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

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

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

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

3 years ago

Describe two different ways that you could find the product 8 x 997 using mental math. Find the product and explain why your met

jolli1 [7]

One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.

Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.

5 0

2 years ago

What is the area of this figure?

matrenka [14]

There is 2 figure here, a triangle and a parallelogram.
Area of parallelogram=base * height
A=9 * 5
A=45m²
Area of triangle= $\frac{1}{2}$ (base * height)
A= $\frac{1}{2}$ (9*8)
A= $\frac{1}{2}$ 72
A=36m²
36+45=81m²
The area of this figure is 81m²

3 0

3 years ago

Help giving medals find the area of the triangle with the given measurements. round the solution to the nearest hundredth if nec

FromTheMoon [43]

In order to solve for the area of the triangle with the given dimensions, we use the equation

A = ac(cos b)/2

Substituting the known values,

A = (11 cm)(18 cm)(cos 104o)/2 = 23.95 cm2

Thus, the answer is the third choice.

8 0

3 years ago

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