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emmasim [6.3K]
3 years ago
10

Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.

Mathematics
1 answer:
Ivan3 years ago
8 0
<h3>Given</h3>

... f(x) = x² -4x +1

<h3>Find</h3>

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

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PLEASE HELP ME!!
tatiyna
For
y=ax²+bx+c
the x value of the axis of symmetry is -b/(2a)

so test them

A., -b/(2a)=-(-8)/(2*-2)=8/-4=-2, yep
B. -b/(2a)=-2/(2*1/2)=-2/1=-2, yep
C. -b/(2a)=-(-16)/(2*4)=16/8=2, nope, need -2
D. -b/(2a)=-12/(2*3)=-12/6=-2, yep

answer is C
3 0
3 years ago
3. Find the angle complementary to the angle 80°25′. A. 180° B. 9°35′ C. 90° D. 99°35′
svetlana [45]
"Complementary" angles sum to 90°.

Since we are using minutes as well...

80°+d°+25'+m'=90°  subtract 80° from both sides

d°+25'+m'=10°  subtract 25' from both sides

d°+m'=9°+60'-25'

d°+m'=9°+35'

9°35'
5 0
3 years ago
(3,-3), slope 3 write an equation of the line that passes through the given point and has the given slope
tester [92]

Answer:

y = 3x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (3, - 3) into the partial equation

- 3 = 9 + c ⇒ c = - 3 - 9 = - 12

y = 3x - 12 ← equation of line

4 0
3 years ago
Read 2 more answers
Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (
sleet_krkn [62]

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

6 0
3 years ago
A climber who is 6 feet tall, casts a shadow that is 20 feet tall, at the same time that a tree casts a shadow which is 90 feet
Agata [3.3K]
The tree is about 27.3 ft. tall.
8 0
3 years ago
Read 2 more answers
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