Hello, again!! :p
I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer =3 ± i√ 6 ,not a -3.
Sorry, I'm not sure if that was much help!
Question locate in image show working
Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=
Answer:
11
Step-by-step explanation:
(f/g)(5)=
f(5)=(5)2+1÷g(5)=5-4
10+1/1
11/1
(f/g)=11
The required simplified value of the given function as (f/g)(5) is 26.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
f(x) = x² +1
f(5) = 5² + 1
f(5) = 26
g(x) = x - 4
g(5) = 5 - 4 = 1
f/g(5) = f(5) / g(5)
= 26 / 1 = 26
Thus, the required simplified value of the given expression (f/g)(5) is 26.
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Simplify the complex number.
(8i) (5) (-4-6i)
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.
Answer:
If you are not in Iceland, then you are not in Reykjavik.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The contrapositive of a statement is as follows:
"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
So, for this one, we need to switch as well!
If you are in Reykjavik, then you are in Iceland.
If you are NOT in Iceland, then you are not in Reykjavik.
The answer would be D
Factor f(x) = 22 - 5x + 6 using any method.
-
please helppp
Answer:
[tex](x-2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-5x+6[/tex]
[tex]x^2-3x-2x+6[/tex]
[tex]x(x-3)-2(x-3)[/tex]
[tex](x-2)(x-3)[/tex]
pls help I don't understand
Answer:
1400
Step-by-step explanation:
two ways to do this
1, find the area of the shaded place.
2, find the area of the whole thing, subtract by the area of the corners.
this way is easier so its what ill do
whole box is 60*30=1800
3 corners are 10*10=100 15*10=150 and 15*10=150
1800-150-150-100 = 1400
or you could do it the first way
bigger box is 20*45=900
long box is 10*35=350
small box is 15*10=150
900+350+150=1400
In the auditorium there are 15 red chairs and 35 blue chairs. What is the ratio of the number of red chairs to the number of blue chairs?
Write your answer as two numbers separated by a colon (for example, 2:3).
3:7
This means that for every 7 blue chairs, there are 3 red chairs.
Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.
The equation that can be used to determine the sales price of the bracelets is $22.5
Amount in her account = $150
Amount in her account after sales = $235
Change in account balance = $235 - $150
= $85
cost of necklace = $22.5
let
bracelet = x
necklace = y
The equation:
Total sales = 5x + y
85 = 5x + 22.5
85 - 22.5 = 5x
62.5 = 5x
x = 62.5/5
x = $12.5
Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5
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A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
A. 5 7/8 cups
B. 6 1/2 cups
C. 5 3/4 cups
D. 6 7/8 cups
Answer: D hope this helps
What function equation is represented by the graph?
Answer:
f(x) = (2/3)x-2
Step-by-step explanation:
Pick any two points and calculate the slope. I chose: (-3,-4) and (3,0). The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6: 2/3
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3
Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?.
the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.
Given, the members of the junior varsity swim team wear glasses is 55%.
And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.
Let the total no. of members be x.
So, the members of the junior varsity swim team wear glasses (55%),will be
[tex]0.55x[/tex].
The total number of members not wearing glasses, will be
[tex]x - 0.55 x = 0.45 x[/tex].
Now, the no. of members not wearing glasses and in 10th grade will be,
[tex]\frac{0.45x\times30}{100} =0.135x[/tex]
We know that the probability of an event E, P(E) will be,
[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]
So, the probability for no. of members not wearing glasses and in 10th grade will be,
[tex]P(E)=\dfrac{0.135x}{x}[/tex]
[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]
Hence the nearest whole percent of probability is 14%.
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Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
The second one. 30 minutes ÷ 6 miles.
Step-by-step explanation:
You want to find how long it took Jamaal to run one mile.
30 minutes ÷ 6 miles = 5 minutes.
So Jamaal can run one mile in 5 minutes.
Option B, 30mins/6miles
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
X-2y=2 in slope intercept form
Answer:
I believe it's written y = 1/2x - 1
Hope this helps :)
Calculate the amount of dextrose in 756 mL D10W
D10W has a concentration 10%
So
Dextrose amount=
[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]
[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]
[tex]\\ \sf\Rrightarrow 75.6ml[/tex]
Simplify the expression
x - (12 – 5x)
Answer:
6x - 12Step-by-step explanation:
Simplify the expression
x - (12 – 5x) =
x - 12 + 5x =
6x - 12
Easy geometry question please help
Answer:
Y-8
Step-by-step explanation:
Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
what is the slope of the line
Answer:
Bala Bala Bala Bala Bala
Step-by-step explanation:
what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold
The combined amount of cats sold is 117.
Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.
The ratio of Siamese cats to house cats = 4 : 9
Number of Siamese cats = 36
Number of combined cats = c
This equation can be formed using the above information:
4/13 x c = 36
4c = 468
c = 468 / 4
c = 117
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Can someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.
The total cost, if one drink costs $3 is $27.75
Let the cost of a pizza be xLet the cost of a drink be yIf kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y
Since a pizza costs $12.75, hence x = $12.75
The function becomes 12.75 + 5y
f(y) = 12.75 + 5y
To get the total cost if one drink costs $3, hence;
f(3) = 12.75 + 5(3)
f(3) = 12.75 + 15
f(3) = 27.75
Hene the total cost, if one drink costs $3 is $27.75
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What does geometric progression mean?
Step-by-step explanation:
[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]
A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
Can someone help? This is hard
CT=90°
BTA=90°
x=29
CT=37
TA=20
CA=57
Step-by-step explanation:
they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:
BTC =90°
BTA=90°
Therefore:
(3x+3)°=90°
3x=90-3
3x=87°
x=29
CT:
x+8
=29+8
=37
TA:
x-9
=29-9
=20
CA:
=CT+TA
=37+20
=57
Please help i've been stuck on this for awhile now-
Answer:
3²
Step-by-step explanation:
The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.
[tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]
_____
Additional comment
The exception is that 0 divided by itself is indeterminate.
Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]