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Over [174]
4 years ago
8

Determine the function f(x) satisfying the given conditions.

Mathematics
1 answer:
Furkat [3]4 years ago
8 0
<span>f''(x) means function is of grade 1
f(x) = ax + b

f'(x) = a
f'(5) = 1 </span>⇒ a = 1

f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6

f(x) = x - 6
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Henry gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many smarties as cola b
Alexus [3.1K]

Answer:

\dfrac{3}{5}

Step-by-step explanation:

Let x be the number of cola bottles.

Henry picks 3 times as many smarties as cola bottles, then he picks 3x smarties.

He also picks twice as many marshmallows as smarties. Then he picks

2\times 3x=6x marshmallows.

In total, there are

x+3x+6x=10x sweets in the bag.

Marshmallows are

\dfrac{6x}{10x}=\dfrac{3}{5} of all sweets in the bag.

5 0
3 years ago
Why is x = 4 a solution to the proportion 15/x = 56/16 A) because 56 divided by 14 equal to 4. B) because 56 divided by 16 is eq
melamori03 [73]

Answer:

The given proportion is

   \frac{14}{x}=\frac{56}{16}\\\\14 \times 16=56\times x\\\\x=\frac{14 \times 16}{56}\\\\x=\frac{16}{4}\\\\x=4

Substitute , x=4 in the equation

  \frac{14}{4}=\frac{56}{16}\\\\56 \times 4=14 \times 16\\\\224=224

Option D

Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.

3 0
3 years ago
Read 2 more answers
What is the value of the expression 8x - 10 when x = 5?
aleksandr82 [10.1K]

Answer:

30

Step-by-step explanation:

8x-10

8(5)-10

40-10

30

7 0
3 years ago
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In a certain population, 10% of the people can be classified as being high risk for a heart attack. a) Three people are randomly
VARVARA [1.3K]

Answer: 0.243.

Step-by-step explanation:

The probability in this case is approcimated by the probability distribution formula for random variables. This formula is denoted as:

P(X=r) = nCr * p^r * q^n-r

Where n = selected number to be sampled and in this case, n= 3

r = varied number of sample and in this case, r=1

P = probability of success and in this case p = 0.10

q = 1-p=1-0.1 = 0.9

P(X=1) = 3C1 × 0.1¹ × 0.9²

P(X=1) = 0.243.

3 0
3 years ago
Please help me <br> A). 1<br><br> B)-9<br><br> D) 3<br><br> C)4
BabaBlast [244]

Answer:

B) -9

Step-by-step explanation:

It is negative nine because for something to be a function the x's can't be the same if they are then it is not a function.

4 0
3 years ago
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