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o-na [289]
3 years ago
8

Evaluate f(x)=x+6 when x=−2,0, and 5.

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

1. 4

2. 6

3. 11

Step-by-step explanation:

Plug each number into the equation (in place of x) to get the answer.

1. f(-2) = -2+6 = 4

2. f(0) = 0+6 = 6

3. f(5) = 5+6 = 11

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Find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Svetach [21]

Answer:

sin(x - y) = 0.21

Step-by-step explanation:

we have the sin values which we need to get cos values

sin (A-B) = sin A cos B - sin B cos A

sin² A + cos² A = 1

sin x = 4/9

cos² x = 1 - sin² x = 1 - 16/81 = 65/81

cos² x = 65/81

cos x = √65/9

sin y = 1/4

cos² y = 1 - sin² y = 1 - 1/16 = 15/16

cos² y = 15/16

cos y = √15/4

sin(x − y) = sin x cos y - sin y cos x

sin(x - y) = 4/9 √15/4 - 1/4 √65/9

sin(x - y) = (4√15-√65)/36

sin(x - y) = 0.21

socratic Narad T

8 0
2 years ago
130% of the sum of 7 and a number n is equal to 91.
dybincka [34]
130\%(7+n)=91 \\
1.3(7+n)=91 \\
7+n=\frac{91}{1.3} \\
7+n=70 \\
n=70-7 \\
n=63
4 0
3 years ago
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What solid figure can have the same cross section as a sphere? Question 16 options:
dybincka [34]
A cylinder has  a cross section of a circle as well as the sphere.
6 0
3 years ago
ANSWER HURRY PLSSSSSSSSSSSSSS
Andrews [41]

Answer:

Its a function

Step-by-step explanation:

x cant be the same

7 0
2 years ago
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Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

8 0
3 years ago
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