Answer:
(f * g)(2) = -11√2 +66
Step-by-step explanation:
Points to remember
Let f(x) and g(x) be the two functions, then (f * g) can be written as,
(f * g) = [f(x)][g(x)]
To find the value of (f * g)(2)
we have,
f(x) = -5x - 1 and g(x) =√x - 6
f(2) = -5*2 - 1 = -11
g(2) = √x - 6 = √2 - 6
(f * g)(2) = [f(2)][g(2)]
= -11 (√2 - 6)
= -11√2 +66
Therefore (f * g)(2) = -11√2 +66
Classify the following as a fraction, expression, equation, or inequality b - 7 < 17
A.Expression
B.Equation
C.Fraction
D.Inequality
D. Inequality
An expression would just contain simple arithmetic without any symbols relating two things to another.
An equation must contain an equals sign.
A fraction will have a bar representing division.
An inequality contains a sign representing a comparison of magnitude, in this question less than <.
Hope this helps!!
at the beginning of a month a store had a balance of -554 during the month the store lost another 600 what was the current balance
Answer:
-1154
Step-by-step explanation:
(-554) - 600 = -1154
BRAINLIEST BEFORE I DIEEE HELP
Answer:
2/9
Step-by-step explanation:
Prob(consonant on first spin)
= 1/3
Prob(vowel on 2nd spin)
= 2/3
prob(event as stated)
= (1/3)(2/3)
= 2/9
Books at a library sale are sold for $3.50 each. A function, y = 3.50x can be used to generate an input/output table for this scenario. Which statement is true about an accurate graph of this data? The data is discrete, so the points are connected with a line. The data is discrete, so the graph is a series of unconnected points. The data is continuous, so the graph is a series of unconnected points. The data is continuous, so it does not matter whether or not the points are in a line.
Answer:
the first one is the answer
Step-by-step explanation:
Answer:
the data is discrete, so the points are connected with a line
Step-by-step explanation:
Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250. Based on these probabilities, determine the probability, , that a randomly chosen person from this country plays baseball. Give your answer as a decimal precise to at least three decimal places.
To find the probability of a randomly chosen person playing baseball in a country, you need to use the given probabilities and conditional probability formula.
Explanation:To find the probability that a randomly chosen person from this country plays baseball, denoted as B:
Let A be the event that the person is left-handed and plays baseball.Use the formula for conditional probability: P(A|B) = P(A and B) / P(B).Calculate P(B) = P(A and B) + P(not A and B) using the given probabilities.Substitute the values to find the probability that a randomly chosen person from this country plays baseball.The probability that a randomly chosen person from the country plays baseball is 0.068.
To find the probability that a randomly chosen person from a particular country plays baseball, we will use the given information and apply Bayes' theorem.
We are given:
The probability that a randomly chosen person is a left-handed baseball player (P(L and B)) is 0.017.The probability that a randomly chosen baseball player is left-handed (P(L | B)) is 0.250.We are asked to find the probability that a randomly chosen person is a baseball player (P(B)).
Using Bayes' theorem, we can express P(B) as P(L and B) / P(L | B). Plugging in the known values:
P(B) = P(L and B) / P(L | B) = 0.017 / 0.250 = 0.068
Therefore, the probability that a randomly chosen person plays baseball is 0.068, precise to three decimal places.
which is an x-intercept of the graphed function
ANSWER
B. (-1,0)
EXPLANATION
The x-intercepts are the points where the graph touches the x-axis.
We can observe from the graph that, the graph touches the x-axis at:
x=-2, x=-1, x=1 and x=2.
Therefore the x-intercepts are (-2,0),(-1,0),(1,0) and (2,0).
From the given options, the only point which is an x-intercept is (-1,0)
The second choice is correct.
The x-intercepts of the graph given in the question is (-1,0). Therefore, the second option is correct.
The x-intercepts are the points on the graph where it intersects the x-axis.
In the graph provided in the question, it is observed that the graph touches the x-axis at x = -2, x = -1, x = 1, and x =2.
Therefore, the intercepts of the x-axis are (-2,0),(-1,0),(1,0), and (2,0). So, from the given options (-1,0) is satisfied,
The second option is correct.
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Determina el área de la circunferencia en el que se ha inscrito un hexágono de 10 cm de lado
Answer:
Yes. Hexagon is 10 cm
Step-by-step explanation:
Match each statement to the correct word or phrase below.
1. books | a one-sentence summary of the speech
2. encyclopedia | source of current information
3. almanac | provides statistical information on a variety of subjects
4. atlas | provides geographical data
5. periodical | list of related sources
6. newspaper | collection of related ideas
7. bibliography | source of current international, national, and local news
8. mind map | identifies the expected reaction or response of the audience
9. thesis statement | most commonly used reference work
10. statement of purpose | the first place to look when researching a speech
Answer:
1. books | the first place to look when researching a speech-by-step explanation
2. encyclopedia | source of current information
3. almanac | provides statistical information on a variety of subjects
4. atlas | provides geographical data
5. periodical | most commonly used reference work
6. newspaper | source of current international, national, and local news
7. bibliography | list of related sources
8. mind map | collection of related ideas
9. thesis statement | a one-sentence summary of the speech
10. statement of purpose | identifies the expected reaction or response of the audience
Explanation:
1. Books are written texts which contain mostly all the detailed information, hence its the first place to look when researching for a speech
5. Periodicals are mainly journals, articles or magazines so we often use it as reference
8. Mind map is usually collection of all many ideas, major ideas.
9. Thesis statement is used at the first paragraph of an essay or speech which usually summarizes the entire speech in one sentence.
Answer:
1. books - the first place to look when researching a speech.
2. encyclopedia - collection of related ideas.
3. almanac - provides statistical information on a variety of subjects.
4. atlas - provides geographical data.
5. periodical - source of current information.
6. newspaper - source of current international, national, and local news list of related sources.
7. bibliography - most commonly used reference work.
8. mind map - list of related sources
9. thesis - statement a one-sentence summary of the speech
10. statement of purpose - identifies the expected reaction or response of the audience.
What is the answer to adding 3/14 1/7
Hello There!
The answer to adding 3/14 and 1/7 together give you a sum of 5/14
STEP #1 The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
STEP #2 Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(3/14*1/1) + (1/7*2/2)3/14 + 2/14 = 5/14Please help and thank you
Answer:
D
Step-by-step explanation:
If you drew a line of best fit to encompass all the data points it would be a line that has a negative slope. The correlation coefficient would be negative.
The option (D) the data shows a negative linear relationship because the slope of the line is negative.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
As we can see in the picture, the dots pattern are going up to down if we draw a line of best fit.
The slope of the line will be negative.
We can say the relationship between car's value and car's age is negative correlated.
Thus, the option (D) the data shows a negative linear relationship because the slope of the line is negative.
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write an expression for the calculation the sum of the products of 4 and 3 and 1 and 1
Answer:
The expression is [tex](4)*(3)+(1)*(1)[/tex]
Step-by-step explanation:
we know that
The algebraic expression of the phrase " the sum of the products of 4 and 3 and 1 and 1" is equal to
[tex](4)*(3)+(1)*(1)[/tex]
[tex]=(12)+(1)[/tex]
[tex]=13[/tex]
Find all solutions to the equation.
(sin x)(cos x) = 0
A. n pi such that n equals zero, plus or minus one, plus or minus two to infinity
B. pi divided by two plus n pi comma n pi such that n equals zero, plus or minus one, plus or minus two to infinity
C. pi divided by two plus two n pi such that n equals zero, plus or minus one, plus or minus two to infinity
D. pi divided by two plus n pi such that n equals zero, plus or minus one, plus or minus two to infinity
Answer:
[tex]x=n\pi[/tex] or [tex]x= \frac{(2n\pm1)\pi}{2}[/tex], where [tex]n\ge0[/tex]
Step-by-step explanation:
The given trigonometric equation is:
[tex](\sin x)(\cos x)=0[/tex]
By the zero product principle;
Either [tex]\sin x=0[/tex] or [tex]\cos x=0[/tex]
When [tex]\sin x=0[/tex], then [tex]x=n\pi[/tex]
When [tex]\cos x=0[/tex], then [tex]x=2n\pi \pm \cos^{-1}(0)[/tex]
This implies that: [tex]x=2n\pi \pm \frac{\pi}{2}[/tex]
Therefore the general solution is [tex]x=n\pi[/tex] or [tex]x= \frac{(2n\pm1)\pi}{2}[/tex], where [tex]n\ge0[/tex]
Answer:
B. pi divided by two plus n pi comma n pi such that n equals zero, plus or minus one, plus or minus two to infinity
Step-by-step explanation:
Given equation,
[tex](sin x)(cosx)=0[/tex]
[tex]\implies sinx=0\text{ or }cosx=0[/tex]
[tex]x=sin^{-1}(0)\text{ or }x=cos^{-1}(0)][/tex]
[tex]x=\pi, 2\pi, 3\pi,......\text{ or }x=\frac{\pi}{2}, \frac{3\pi}{2}, \frac{5\pi}{2}....[/tex]
[tex]\implies x = n\pi\text{ or }x=\frac{\pi+2n\pi}{2}[/tex]
Or
[tex]x=n\pi\text{ or }x= \frac{\pi}{2}+n\pi[/tex]
Where, n = 0, 1, -1, -2, ........∞
Hence, option 'B' is correct.
What’s the least common multiple of x^2-2x-15 and x^2+2x-3?
Answer:
[tex]\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}[/tex]
Step-by-step explanation:
[tex]x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15[/tex]
Suppose f(x) = x^3. Find the graph of f(x+5)
Step-by-step explanation:
work work work :)
Love you
Answer:
This is the answer
Step-by-step explanation:
what is the factorization of the polynomial below 4x^2-25
Answer: (2x + 5)(2x - 5)
Answer:
(2x - 5) and (2x + 5)
Step-by-step explanation:
There's a special formula for factoring the difference of two squares:
a^2 - b^2 = (a - b)(a + b).
Thus,
4x^2 - 25 is the same as (2x)^2 - (5)^2, and the two factors are:
(2x - 5) and (2x + 5).
?????????????????????????
Perimeter is the outside dimensions.
There are two sides 5z and two sides 4z +3.
5z +5z +4z+3 + 4z +3 = 186
Combine like terms:
18z + 6 = 186
Subtract 6 from both sides:
18z = 180
Divide both sides by 18:
z = 180 / 18
z = 10
I need help please?!!!
Hello There!
This would certainly be true.
The horizontal axis on a coordinate graph is called the X axis
And the vertical line is called the y axis.
Answer:true
Step-by-step explanation:
Horizontal axis on a graph is labeled the x-axis while the vertical axis is labeled the y-axis. Where they intersect is called the origin
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
help asap
Answer:
y = (-3/2)x - 4
Step-by-step explanation:
If y = (2/3)x + 9, the slope is 2/3. Any line perpendicular to this line would have the slope -3/2, which is the negative reciprocal of 2/3.
If the perpendicular line passes thru (-6, 5), then the equation in slope-intercept form would be:
y = mx + b, or (here) 5 = (-3/2)(-6) + b. From this we see that b = -4, and the desired equation is y = (-3/2)x - 4 (Answer Choice #3)
1/3(x-3)-x+3=2(x-1). Answer
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
To eliminate the fraction multiply all terms on both sides by 3
(x - 3) - 3x + 9 = 6(x - 1) ← distribute parenthesis on both sides
x - 3 - 3x + 9 = 6x - 6
- 2x + 6 = 6x - 6 ( subtract 6x from both sides )
- 8x + 6 = - 6 ( subtract 6 from both sides )
- 8x = - 12 ( divide both sides by - 8 )
x = [tex]\frac{-12}{-8}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5
how to solve Davis bought a second hand cycle for $500 he spent $80 in repairs and $175 in repainting he then sold it to John for $900 how much did he gain or lose?
Davis spent a total of $755 on buying and refurbishing the cycle, which he sold for $900. He made a gain of $145 on the sale.
Explanation:To calculate Davis's gain or loss from buying and selling the second-hand cycle, we need to determine the total cost he incurred and compare that to the sale price. First, we add the purchase price of the cycle to the cost of repairs and repainting:
Purchase price: $500Repairs: $80Repainting: $175The total cost Davis incurred is $500 + $80 + $175, which equals $755.
Next, we must compare this to the sale price, which is $900. To find the gain, we subtract the total cost from the sale price:
$900 - $755 = $145
Therefore, Davis made a gain of $145 from this transaction.
Davis gained $145 by selling the cycle for $900 after incurring a total expense of $755 on its purchase, repairs, and repainting.
To calculate whether Davis made a gain or a loss from buying and selling the cycle, we need to consider the total cost of the cycle (including repairs and repainting) and the selling price. First, we add up the initial cost of the cycle ($500), the cost of repairs ($80), and the cost of repainting ($175). This will give us the total cost. Then, we subtract this total cost from the selling price ($900).
Total cost = Cost of cycle + Repairs + Repainting = $500 + $80 + $175 = $755
Profit or Loss = Selling price - Total cost = $900 - $755
Profit or Loss = $900 - $755 = $145
Davis gained $145 from this transaction because the selling price was higher than the total cost.
Solve: Factor the following polynomial completely -9x^2-30x-25
Answer:-(3x+5)^2
Step-by-step explanation:
The polynomial is factored to give (-3x -5)(3x + 5)
How to factorize the polynomialFrom the information given, we have that the polynomial is given as;
-9x - 30x-25
Now, multiply the constant value by the coefficient of x squared in the expression, we have;
-9(-25)
225
Now, find the pair factors of 225 that adds up to -30
Then, substitute the values, we get;
-9x² - 15x - 15x - 25
Group in pairs, we get;
(-9x² - 15x ) - (15x - 25)
Factorize the expressions
-3x(3x + 5) - 5(3x + 5)
Then, we have;
(-3x -5)(3x + 5)
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the following is a linear sequence. 1, 4, 7, 10, 13...
using the explicit formula 3n - 2 find the 90th term in the sequence.
A. 90
B. 270
C. 268
D. 265
We have
[tex] a_n = 3n - 2[/tex]
We're asked for [tex] a_{90}[/tex]
[tex]a_{90} = 3(90) - 2 = 268[/tex]
Answer: C 268
Which is a true statement about a 45-45-90 triangle
Answer:
The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg
Step-by-step explanation:
a true statement about a 45-45-90 triangle
The common ratio of 45-45-90 degree triangle is
x:x:[tex]\sqrt{2}x[/tex]
Suppose the value of x is 1 then the ratio becomes
1:1:[tex]\sqrt{2}[/tex]
1 is the side length of the triangle and [tex]\sqrt{2}[/tex] is the hypotenuse
The hypotenuse is [tex]\sqrt{2}[/tex] times as long as either leg
Answer:
D
Step-by-step explanation:
which of the following equations are identities. Check all that apply
A) cotx= cosx/sinx
B) cscx=1/cosx
C) tanx=1/cotx
D) cscx=1/secx
Answer:
A) cotx = cosx/sinx
C) tanx = 1/cotx
Step-by-step explanation:
A)
cosx/sinx = 1/(sinx/cosx) = 1/tanx = cotx
Therefore, cotx = cosx/sinx
C)
Similarly;
1/tanx = cotx
Therefore,
1 = tanxcotx
1/cotx = tanx
and
tanx = 1/cotx
B) cscx=1/cosx is not true since;
1/cosx = secx
and
cscx = 1/sinx
Which of the following is a complex number?
Answer:
A. 3√(7/5) +√(-9/5)
Step-by-step explanation:
The square root of a negative number is imaginary. Only answer choice A contains any imaginary numbers, so only answer choice A is complex.
NEED HELP!! 15 POINTS!!!
A quadratic equation is shown below:
x^2+18x+76=0
Which of the following is the first correct step to write the above equation in the form (x-p)^2=q, where p and q are integers?
A) add 9 to both sides of the equation
B) add 5 to both sides of the equation
C) subtract 5 from both sides of the equation
D) subtract 9 from both sides of the equation
Answer:
Option B) add 5 to both sides of the equation
Step-by-step explanation:
we have
[tex]x^{2}+18x+76=0[/tex]
step 1
Add 5 to both sides of the equation
[tex]x^{2}+18x+76+5=0+5[/tex]
[tex]x^{2}+18x+81=5[/tex]
step 2
Rewrite as perfect squares
[tex](x+9)^{2}=5[/tex]
Answer:
B) Add five to both sides of the equation
Step-by-step explanation:
I did this test on FLVS
A rectangular wall is 5 feet high and 25 feet wide. Which dimensions could be used to draw a similar model?
1 inch high and 5 inches wide
1 inch high and 25 inches wide
5 inches high and 5 inches wide
25 inches high and 5 inches wide
Answer: A. 1 inch high and 5 inches wide.
Step-by-step explanation:
If you divide both sides by 5, you get 1 and 5, which makes it an equal representation,
The volume of Solid A is 171.5 m and the volume of Solid B is 500 m, If the solids are similar, find the scale factor of Solid A to Solid B.
Final answer:
The scale factor from Solid A to Solid B is found by taking the cube root of the ratio of their volumes, resulting in approximately 0.6996.
Explanation:
The question involves finding the scale factor between two similar solids based on their volumes. Since the volumes of similar solids are related by the cube of the scale factor, we can find the scale factor by taking the cube root of the ratio of their volumes. Solid A has a volume of 171.5 m³, and Solid B has a volume of 500 m³. To find the scale factor from Solid A to Solid B, we calculate the cube root of (171.5/500), which will give us the linear scale factor.
The formula we use is:
Scale Factor (k) = ∛(Volume of Solid A / Volume of Solid B)
k = ∛(171.5 m³ / 500 m³)
k ≈ ∛(0.343) ≈ 0.6996
Therefore, the scale factor of Solid A to Solid B is approximately 0.6996.
A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number.
Answer:
4153
Step-by-step explanation:
Let the original number be [tex]\overline{abc3}[/tex] [a is the number of thousands, b - the number of hundreds, c - the number of tens, 3 - the number of ones]
If you put the number 3 in the first position, the number will be [tex]\overline{3abc}[/tex]
New number is 738 less than old number.
When you subtract from 3 some number c and get 8, then you have to lend one ten and subtract this number c from 13. So, 13-5=8. Thus, c=5. Remember about lending! Now when you subtrat from 4 (not 5 because of lending) some number b and get 3, then b=1. Now when you subtract from 1 some number a and get 7, then you have to lend 1 from the number of thousands and subtract a from 11 to get 7, thus 11-4=7 and a=4.
We get initial number 4153 and rewritten number 3415. Check the difference:
4153-3415=738
Answer:
4153
Step-by-step explanation:
(60 points)
Please answer and explain all 3 questions, thank you!
2. What number must be added to both sides of the equation to complete the square?
x^2-16x=-8
A. 16
B. -64
C. -16
D. 64
5. Solve
2x^2 + x -1=2
A. No real solutions
B. (1,-3/2)
C. x= -1+3/2
D. (-1,2)
6. Solve.
2x^2 - 4x=0
A.(-6,-2)
B.(0,1/2)
C. (0,2)
D.(0,-2)
Answer:
2. D. 645. B. 1, -3/26. C. 0, 2Step-by-step explanation:
[tex]2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56[/tex]
[tex]5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}[/tex]
[tex]6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}[/tex]