All categories

3 years ago

What is the y intercept of the quadratic equation f(x)=(x-8)(x+3)?

Mathematics

2 answers:

Semmy [17]3 years ago

5 0

Ok so the x intercepts would be 8 and - 3 so the only reasonable answer would be A-(8,0)

tresset_1 [31]3 years ago

5 0

Answer: (0, -24)

Step-by-step explanation: Remember that f(x) means the same thing as y.

So we can write this as y = (x - 8)(x + 3).

To find the y-intercept, we can first F. O. I. L this problem.

We take the product of the first terms plus the product of the outer terms

plus the product of the inner terms plus the product of the last terms.

So we have x² + 3x - 8x - 24 which simplifies to x² - 5x - 24.

Notice that our equation is in standard form which

is written y = ax² + bx + c where a is not 0.

When an equation is in this form, the c will be the y-intercept.

So our y-intercept is -24.

You might be interested in

If the sales tax rate is 7.25% in California, then how much tax should a merchant charge in San Francisco for the sale of a $15

Semmy [17]

$15 x .0725 = 1.0875 which we have to round to $1.09
Notice how I changed the 7.25% to a decimal .0725 by moving it back two places.

7 0

2 years ago

Read 2 more answers

Martha puts $240 in a savings account that earns 2% interest. if she leaves her money in the account for 5 years, how much simpl

Cerrena [4.2K]

Answer:

The final balance is $265.24.

The total compound interest is $25.24.

6 0

2 years ago

How to write an equation for the line perpendiculer and trhough the given ppoint?

valentinak56 [21]

A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.

For m = slope of given line and (h, k) = given point, the perpendicular line will be
y = (-1/m)(x -h) +k

Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).

_____
The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).

In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.

5 0

3 years ago

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is $\frac{24}{8} = 3$ in.

Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

5 0

3 years ago

Can someone help out with this question

MissTica

Answer:

Lengths in Ascending order :-

500 in , 50 ft , 5 km , 5500 m , 5 mi

hope it helps!

6 0

3 years ago

Read 2 more answers