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2 years ago

8

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi

ll it take the Math clubs car to make it around the track

1 answer:

zhenek [66]2 years ago

5 0

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

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Jim’s total bill for lunch is $20. The cost of his drink is 15% of the bill. What is the percent of the total food cost? What wa

dem82 [27]

Answer:

Percent of the total food cost: 85%

Cost of the food: $17

Step-by-step explanation:

If the drink is 15% of the bill, then the other 85% is the cost of the food.

85% of 20 is 17

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2 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem

we have

$4x^{2} +20x-39=0$

so

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

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2 years ago

HELP ME MATH ILL GIVE YOU BRAINLIEST

s344n2d4d5 [400]

Answer:

zeros: x = -3, -1, +2.
end behavior: as x approaches -∞, f(x) approaches -∞.

Step-by-step explanation:

I like to use a graphing calculator for finding the zeros of higher order polynomials. The attachment shows them to be at x = -3, -1, +2.

__

The zeros can also be found by trial and error, trying the choices offered by the rational root theorem: ±1, ±2, ±3, ±6. It is easiest to try ±1. Doing so shows that -1 is a root, and the residual quadratic is ...

x² +x -6

which factors as (x -2)(x +3), so telling you the remaining roots are -3 and +2.

___

For any odd-degree polynomial with a positive leading coefficient, the sign of the function will match the sign of x when the magnitude of x gets large. Thus as x approaches negative infinity, so does f(x).

8 0

2 years ago

Slope intercept form? A line passes through the point (10,4) and has a slope of -1 over 2 .

Law Incorporation [45]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=-\dfrac{1}{2}$ and the point (10, 4).

Substitute the value of slope and the coordinates to the equation of line:

$y=-\dfrac{1}{2}x+b\\\\4=-\dfrac{1}{2}(10)+b\\\\4=-5+b\qquad|\text{add 5 to both sides}\\\\9=b\to b=9$

Answer: $y=-\dfrac{1}{2}x+9$

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2 years ago

Read 2 more answers

Show me how to get 25 divided by 405 show me all the steps to get the answer

OlgaM077 [116]

25 = 5*5
405 = 81*5

therefore, 25/405 = (5*5)/(81*5)=5/81

6 0

2 years ago

Read 2 more answers