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AnnZ [28]
3 years ago
13

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0
Answer: 1

f(x) = \frac{1}{3x}
g(x) = \frac{1}{3x}+1

g(x) is in the form f(x)+k where k = 1. To go from f(x) to g(x), shift the entire graph up 1 unit.
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What is m∠A ? Enter your answer in the box.
miss Akunina [59]

Answer:

The measure of angle A is 115°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠C+∠A+∠B=180°

substitute values and solve for x

x°+(3x-35)°+(x-35)°=180°

5x°=180°+70°

x=250°/5=50°

Find the measure of angle A

∠A=(3x-35)°

substitute the value of x

∠A=(3(50)-35)=115°

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST! GIVING 10 POINTS!!!!
34kurt
<span><span>DO use multiplication sign '*' (the STAR) symbol. For the simplifier, xy is NOT the same as x*y or yx. Simplifier thinks that xy is a separate variable. Good example: x*y-y*(x+2). Bad example: xy-y(x+2).</span>DO use '*' when multiplying a variable by an expression in parentheses: x*(x+2). Otherwise, my simplifier will think that you are trying to use a function and will become confused.Use parentheses liberally to avoid any ambiguity. (x+y)/(x-y) is NOT the same as x+y/x-y. x+y/x-y means x+(y/x)-y.</span>Operations<span>Use '*' (STAR) for multiplication. 2*3 is legal, 2x3 will be misunderstood.Use '^' (CARET) for power. 2^3 means 2 to degree of 3, or 8.Use '/' (FORWARD SLASH) for divisionOnly '(' and ')' (parentheses) are allowed for grouping terms. Curly or square brackets are used for other purposes.</span>

Operation priority: + and - have lowest priority, * and / h

Good Examplesx*y-x*(y+2) <-- '*' is used for multiplications a^b*3 <-- means (a to the degree of b) multiplied by 3 Bad examples<span>xy-yx <-- variable xy and variable yx are different variables y(x-2) <-- simplifier will think that it is function y of x-2.</span>
3 0
3 years ago
Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her
Aleks [24]
4,000 in bank -500 and 15000 so she had  -20000 +4000 so it equals -16000
3 0
3 years ago
A triangular course for a canoe race is marked with buoys. The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg
balu736 [363]
<h2>The race is 1.2 miles long</h2>

Step-by-step explanation:

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

\texttt{Length of first leg = }\frac{3}{10}miles\\\\\texttt{Length of second leg = }\frac{1}{2}miles\\\\\texttt{Length of third leg = }\frac{2}{5}miles

Now we need to find length of race

       \texttt{Total length = }\frac{3}{10}+\frac{1}{2}+\frac{2}{5}\\\\\texttt{Total length = }\frac{3}{10}+\frac{5}{10}+\frac{4}{10}\\\\\texttt{Total length = }\frac{3+5+4}{10}\\\\\texttt{Total length = }\frac{12}{10}\\\\\texttt{Total length = }1.2miles

The race is 1.2 miles long

7 0
3 years ago
A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili
Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0
3 years ago
Read 2 more answers
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