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luda_lava [24]
3 years ago
9

For which interval is the average rate of change of f(x) negative?

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
Option C. It’s where it’s decreasing over the entire interval.
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Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas
BartSMP [9]

Answer:

Small candies =9

Extra large candies =12

Step-by-step explanation:

Let small candies =x

Extra large candies =y

the number of candies is at least 20.

x+y\geq20

Cost of 1 small candy =\$4

Cost of 1 extra large candy =\$12

but she has only \$180 to spend

4x+12y\leq180

Solve for

x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}

Since number of candies should be integer.

let x=7,y=13

total spend 4\times7+12\times13=184 which is more than \$180, so this combination is not possible.

let\ x=8,y=12\\8\times4+12\times12=176

She has \$4 more so she can buy 1 more small candy.

Hence  small candy =9

extra large candy =12

4 0
3 years ago
What are the coordinates of the y-intercept of the function y=|6x-5|-4
Ket [755]

Answer: (0,1)

Step-by-step explanation:

Hope this helps

8 0
3 years ago
To ride a roller coaster, a visitor must not be less than 60 inches tall.
True [87]
<h2><em>h≥60</em></h2>

This is saying that your height has to be equal to or greater than 60 inches.

7 0
3 years ago
Im having a mental breakdown can someone please just do this for me
topjm [15]
The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).

when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).

because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.

with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).

with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
6 0
2 years ago
How many times smaller is 4 x 10−7 than 3.5 x 10−4?
Tcecarenko [31]

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

<h3>What is the arithmetic operator?</h3>

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

7 0
2 years ago
Read 2 more answers
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