f(x) = 3 - 2x
[tex]g(x) = \frac{1}{x + 5}[/tex]
[tex](\frac{f}{g}(8) = \frac{3-2x}{\frac{1}{x+5}}[/tex]
[tex](\frac{f}{g}(8) = (3 - 2x).(x + 5)[/tex]
[tex](\frac{f}{g}(8) = 3.x + 3.5 - 2x.x - 2x.5 = 3x + 15 - 2x^2 - 10x[/tex]
[tex](\frac{f}{g}(8) = -2.8^2 - 7.8 + 15 = -2.64 - 56 + 15 = -169[/tex]
Answer:
A. -169
Step-by-step explanation:
e2021
4/5 of a number is 32
Answer:
x = 40
Step-by-step explanation:
Step 1: Write out an equation
4/5(x) = 32
Step 2: Solve by dividing both sides by 4/5
x = 32/(4/5)
Use KCF (Keep Change Flip) if you do not have a calc.
x = 40
Answer:
The answer is 40
Step-by-step explanation:
32 times 5 is 160
then: 160 divided by 4 is 40.
check the answer: 4/5 of 40 is 32
because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.
Hope this helps!!!Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.
Answer:
5[tex]x^{4}[/tex] - 8x² + 4
Step-by-step explanation:
Split the numerator, dividing each term by 4x³ , that is
[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]
= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient
Which is true about the polynomial 18r3s + 6r – 7s2?
A.It is a binomial with a degree of 2.
B.It is a binomial with a degree of 3.
C.It is a trinomial with a degree of 2.
D.It is a trinomial with a degree of 3.
Answer:
D.It is a trinomial with a degree of 3.
Step-by-step explanation:
3 terms one to the power of 3
What is the range of f(x)?
{x|-2
{y|-5
{y|-5<3y<-1}
Answer:
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
(-∞,∞),{x|x∈ℝ}
Range:
[
−
4
,
∞
)
,
{
y
|
y
≥
−
4
}
[-4,∞),{y|y≥-4}
Step-by-step explanation:
X=2 in standard form
Answer:
[tex]A2+By=C[/tex]
Step-by-step explanation:
Well standard form is [tex]Ax+By=C[/tex].
And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].
So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.
So [tex]Ax+By=C[/tex]
x -> 2
So answer is [tex]A2+By=C[/tex]
2A+By=C is the standard form of X=2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form of a linear equation is Ax+By=C.
A times of x plus B times of y equal to C
A, B, and C are constants,
x and y are variables.
Standard form lets us quickly find the x- and y- intercepts.
By given x value is 2.
Now plug in the value of x in standard form of equation.
2 times of A plus B times of y equal to C
2A+By=C
Hence 2A+By=C is the standard form of X=2
To learn more on Equation:
https://brainly.com/question/10413253
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TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?
Answer:
25 and 8
Step-by-step explanation:
a/b = 3.125
a/b = 3125/1000
make it simple (divide by 25)
a/b = 125/40
ah, can be more simple (divide by 5)
a/b = 25/8
see 25 + 8 is less than 50
Step-by-step explanation:
1.25/8=3.125
50/16=3.125
but it tells that both two numbers are less than 50 then,the numbers are 25 and 8
Solve for g. 3/16 = (-5/4) + g
Answer:
g = 23/16
Step-by-step explanation:
3/16 = (-5/4) + g
Add 5/4 on both sides.
3/16 + 5/4 = g
Make denominators equal and add.
3/16 + 20/16 = g
23/16 = g
Calculate the area of this triangle.
16 cm
24 cm
20 cm
Answer:
Step-by-step explanation:
Area of triangle = 1/2 × b × h
= 1/2 × 24 × 16
= 192 cm^2
Hope this helps
plz mark as brainliest!!!!
Answer:
192 cm²
Step-by-step explanation:
Area of a triangle is equal to base × height × 1/2.
24 × 16 × 1/2
384 × 1/2
= 192
Please answer this question now in two minutes
Answer:
A. 17.5
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
Square root of 3,689
Answer:The answer 60.7371385562.
Step-by-step explanation:
The square root of 3,689 is approximately 60.74.
[tex]\sqrt{3689} = 60.74[/tex] (approx)
The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles.
Answer:
Angle 1: 55
Angle 2: 110
Angle 3: 15
Step-by-step explanation:
Angle 1: x
Angle 2: 2x
Angle 3: x-40
The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).
Match each expression on the left to its simplified version on the right.
Answer:
In the photo
Step-by-step explanation:
Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.
Answer:
the one above me is right expet for 2 of them purple and orange
Step-by-step explanation:
it was right on edge
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales
Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
When D > 0 When D < 0When D = 0Which translates to
signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots existThe question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
3 and -3 are identical-3 and -3 are realThis means they satisfy condition number 3;
Hence, D = 0
PLS HELP ASAP Given the following probabilities, for what P(B) are events A and B independent? P(A)=23 P(A and B)=13
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
-------------------------
P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
P(B) = 1/2 is the answer------------------------
If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
The result is number [tex]r[/tex] where:
[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]
Hope this helps.
A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip
Answer:
x/25
Step-by-step explanation:
Which set of values could be the side lengths of a 30 60 90 triangle
Step-by-step explanation:
[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]
because
[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
Answer: your answer is A
Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared
What type of triangle is this.
Answer:
d
Step-by-step explanation:
only a scalence triangle has all sides with different length
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
A large solar panel can generate power at a maximum rate of 400400400 kilowatts per day. It generates power at a constant rate when the sky is cloudy, and it generates power at a constant rate when the sky is clear. Let CCC represent the number of hours when the sky is cloudy and LLL represent the number of hours when the sky is clear during which the solar panel can generate power without exceeding its capacity. 5C+32L \leq 4005C+32L≤4005, C, plus, 32, L, is less than or equal to, 400 According to the inequality, at what rate does the solar panel generate power when the sky is cloudy, and at what rate does it generate power when the sky is clear?
Answer:
Rate of power generation when the sky is cloudy= 5 watts per hour.
Rate of power generation when the sky is clear = 32 watts per hour.
Step-by-step explanation:
A large solar panel can generate power at a maximum rate of 400 kilowatts per day.
Let the number of hours when the sky is cloudy =C
Let the number of hours when the sky is clear = L
Given the inequality:
[tex]5C+32L \leq 400[/tex]
The rate at which the solar panel generates power when the sky is cloudy is 5 watts per hour.
The rate at which the solar panel generates power when the sky is clear is 32 watts per hour.
Answer:
Box one: 5
Box two: 32
Part 2 is: No
Step-by-step explanation:
alex knows that 9.6 divided by 0.4 = 24. he uses this fact to calculate 0.96 divided by 0.04. what is alex’s answer? explain your reasoning
Answer:
0,.96 : 0.04 =24
Step-by-step explanation:
96 : 4 = 24 because 24 * 4 is 96
9.6 : 0.4 = 24 because 24 * 0.4 = 9.6
0.96 : 0.04 = 24 because 24 * 0.04 = 0.96
or
0.96 / 0.04 = 9.6 / 0.4 = 96 / 4 = 24
Please help me with trig I’d really appreciate
Answer:
2 root 10/ 7, or the second option.
Step-by-step explanation:
If a is 3, then b is root 40. (Pythagorean)
root 40= root 4x10, or 2 root 10
Tangent= opposite/hypotenuse
Tangent= 2 root 10/ 7
Please help me! I will mark brainliest for best answer :)
Answer:
r = 5
I just turned it in it was correct
Step-by-step explanation:
please mark brainliest
Answer:
7 = 2 + r
Step-by-step explanation:
So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>
We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.
The other side with "r" has 2 "1" thus --> 2(1) = 2
So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5
Hope this helps!
Can any one please do this for me I did not know how to do it can some one please help me
Answer:
Length ≈ 31cm
Width ≈ 10cm
Step-by-step explanation:
[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]
CHECK
[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]
Work out the temperature after this change. The temperature starts at −2 °C and it falls by 8 °C.
Answer:
-10 degree celsius
Explaination:
(-2) - 8
= -2 + -8
= -10 degree celsius
Hope this helps and pls mark as brianliest :)
If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?
Answer:
We need to know the other marbles in the bag and how many there are of each.
PLEASE HELP! WILL MARK AS BRAINLIEST!
Answer:
Approximate answer: [tex]66.36 \ cm^2[/tex]
Step-by-step explanation:
[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]
Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].
[tex]M'C = 5.66\cot(62^\circ)[/tex]
[tex]MM' = AB = 8.9[/tex]
[tex]DC = DM + MM' + M'C[/tex].
Next we should put everything together in area formula for trapizium:
[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]