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mariarad [96]
3 years ago
7

Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42

Mathematics
1 answer:
Fed [463]3 years ago
8 0
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
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IgorLugansk [536]

Answer:

the time is 1.57 sec and the distance is 49.32mm

Step-by-step explanation:

Given that,

The angle is 180°

Angular velocity is 2rev/sec

The radius is 10mm

we are to find the time and distance traveled at that time

The formula is

θ = at

where t is the time,

a is the angular velocity

θ is angle in radian

so,

θ = 180° × π/180°

θ = π

= 3.14

Hence ,

θ = at

3.14 = 2t

t = 1.57sec

let the distance be xmm

\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm

Therefore , the time is 1.57 sec and the distance is 49.32mm

7 0
3 years ago
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What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?
Hoochie [10]
<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope. 
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. <span>y= -(9/4)x+12</span>
3 0
3 years ago
-5(5c-3b-1) distribute property
andrew11 [14]

Answer:-25c+15b+5 ..add it up then boom you'll get your answer

Step-by-step explanation:

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2 years ago
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide
statuscvo [17]

The formula can be used to determine how many students are required to earn $1,500 in profit.t:

5.n - 100 - 200 = 1500.

<h3>What is linear equation?</h3>

An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.

Ax + By = C is the standard form of a two-variable linear equation. This equation contains the variables x and y, the coefficients Both a B, as well as the constant C.

<h3>According to the given data:</h3>

Given that the no. of students is n.

DJ charge - $200 Decorations cost - $100

Charge each student should pay - $5.00

Therefore the equation that find the no. of students to make a profit of $1,500.5.n - 100 - 200 = 1500

To learn more about linear equation visit:

brainly.com/question/2030026

#SPJ9

7 0
1 year ago
Which figure has both lines of symmetry and symmetry and rotation symmetry?​
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Answer:

Pentagon

Step-by-step explanation:

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