Answer:
a) f(0) = -9
b) f(2) = -5
c) f(-3) = -15
d) f(1/2)=-8
Step-by-step explanation:
We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:
a) f(0)
For finding f(0) put x =0 in the given function
[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]
So, we get f(0)=-9
b) f(2)
For finding f(2) put x =2 in the given function
[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]
So, we get f(2)=-5
c) f(-3)
For finding f(-3) put x =-3 in the given function
[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]
So, we get f(-3)=-15
d) f(1/2)
For finding f(1/2) put x =1/2 in the given function
[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]
So, we get f(1/2)=-8
Find the height of an equilateral triangle with side length 8.
Answer:
4 root 3
Step-by-step explanation:
formula of height equalitral triangle:
side/2 root 3:
side = 8
8/2*root 3
4 root 3
Find the value of x and
simplify completely.
Answer:
[tex]x^{2}=27*30\\x^{2} = 810\\x=9\sqrt{10}[/tex]
A sports store marks up t shirts it sells by 60% if the store bought a t shirt for 6.25 what will be the retail price
Answer:
I believe its 3.75
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
6.25×60% = 3.75
3.75+6.25 = 10
$10
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
a. The sum of a number and one is equal to one added to the number.
What is the value of n?
2n – 1 = 5
Answer: n=3
Step-by-step explanation:
Think about it 2*3-1. 2x3=6 then minus 1 equals 5.
Answer:
n=3 thats the answer your welcome
At the end of school, Josh's teacher handed out 27 coupons for bowling during the summer to each student. The third week of
summer, he accidentally threw away 15 of them when he cleaned his room. The last week of summer, he decided to use the
remaining coupons evenly over 3 days.
If he did not use any of the coupons until the last week of summer, how many coupons did he use on each of the 3 days?
The answer would be 4 Coupons
Whats 6 X 1 X + 5 X 1/10 in standard form and someone pls
Describe the triple constraint. What are the three components and what is the relationship between them
Answer:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce.
The three components are Budget, time, and scope.
The relationship between them is an interdependent or triangular shape.
Step-by-step explanation:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.
Budget - The budget describes the estimated cost of the project. Time: The time represents the deadline to complete the project.Scope: This is simply what needs to be provided.These 3 components are dependent to each other.
For example, if time is restricted then scope and budget will be affected. similarly.
The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.
32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answer:
372/12=31
31mpg
Step-by-step explanation:
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,
the result is
Step-by-step explanation:
(3a-7a+6)-(4a-3a+4)
(-4a+6)-(1a+4)
Add the remaining a's together, as well as the 6 and 4.
you get,
-3a+10
Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)
Answer:
(x-1)²/49 + (y+3)²/16.51 = 1
Step-by-step explanation:
vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis
a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis
b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1
a = 8-1 = 7 c = 6.7 - 1 = 5.7
b² = 7² - 5.7² = 16.51
Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1
solve 3^y = 12 and
find y
Answer:
3^y = 12Take the logarithm of both sides of the equation to remove the variable from the exponent. Exact Form:y = [tex]\frac{ln 12}{ln 3}\\\\\\[/tex] = (ln 12)/(ln 3)y = 2.261what's the perimeter of a triangle with sides 2 inches, 3 inches, and 4 inches in length?
Answer:
maybe 9
Step-by-step explanation:
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The dashed lines represent distances between players. Suppose that player 1 gets the ball from either player 2 or 3. The next move is for player 1 to pass the ball to either player 4 or player 5. Which of these two players (4 or 5) is closer to player 1? Justify your answer.
Answer:
4.
Step-by-step explanation:
1 is closer to 4 since onces you pass the ball to 3 it will go to four, and the number is 18.38ft but 5 is 24.50 ft
If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
Answer:
15
Step-by-step explanation:
Solve the problem backwards and it gives you the answer. Hope this helps
Match each equation to its solution
Step-by-step explanation:
First one on the left = Second one on the right
Second one on the left = First one on the right
Third one on the left = Third one on the right
What do you do to convert 0.02083 to 75 mph?
Answer: 120.7008 Kilometers per Hour
Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
Answer:
Number of boys = 675
Step-by-step explanation:
Given that:
There are 5 times as many boys as girls in a school.
Number of pupils in school = 810
Let,
x be the number of girls
y be the number of boys
According to given statement;
x+y=810 Eqn 1
y = 5x Eqn 2
Putting y=5x in the Eqn 1
x+5x=810
6x=810
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]
Putting x=135 in Eqn 2
y = 5(135)
y = 675
Hence,
Number of boys = 675
What is an equation of the line that passes through the point (-6,-8)(−6,−8) and is parallel to the line x-2y=6x−2y=6?
Answer:
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope
−
1
2
and a given point
(
0
,
0
)
to substitute for
x
1
and
y
1
in the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, which is derived from the slope equation
m
=
y
2
−
y
1
x
2
−
x
1
.
Step-by-step explanation:
Can I have help please I don’t know how to do this
Answer: i think it may be a
Step-by-step explanation:
What is the sum of 9.37- 6
Which expression is equal to (x+2)(x−4)(x−4)(x+4)?
x+2x+4
x−2x+4
x−2x−4
x+4x+2
Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.
x
2
=
16
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
16
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4
,
−
4
Exclude the solutions that do not make
x
2
x
−
4
=
16
x
−
4
true.
x
=
−
4
Step-by-step explanation:
Simplify 6(5x-1)-3(2x-10)
Answer:
30x-6-6x-30
30x-30x-6-6
0-12
-12
(-30i) +(52-30i) express your answer in the form (a+bi)
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
please answer asap correctly dont troll!!!
Answer:
10
Step-by-step explanation:
Bro, again the same question))
a>17-8
a>9