Answer:
f(g(x)) = 8x² + 18x - 8
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 2x - 1)
= 2(- 2x - 1)² - 5(- 2x - 1) - 15
= 2(4x² + 4x + 1) + 10x + 5 - 15
= 8x² + 8x + 2 + 10x - 10
= 8x² + 18x - 8
hello please help i’ll give brainliest
Answer:
Step-by-step explanation:
A i think
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
Which equation models this situation? 26 more than a number is 37.
Answer:
x+26=37
Step-by-step explanation:
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?
Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
The inequality to describe the total amount Samantha saves is s > 15.
The correct option is (A).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.
As per the given data:
We are given that Samantha saves at least 10% of her monthly salary.
Samantha is earning $150 each month for a year.
To find the amount Samantha at least saves in a month:
= 10% of her monthly salary
= 10% × 150
= 10/100 × 150
= 15 dollars
As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:
savings > 15
The inequality to describe the total amount Samantha saves is s > 15.
Hence, The inequality to describe the total amount Samantha saves is
s > 15.
Learn more about Inequality here:
brainly.com/question/30231190
#SPJ2
(The given question is incomplete, the complete question is given below)
equivalent fractions, please help
The answer is 7/10. I hope this helps you, have a good day!
Answer:
Step-by-step explanation:
49/70 = 7/10
PLSSS HELP GIVING BRAINLIEST
Mr. Fowler's science class grew two different varieties of plants as part of an experiment. When the plant samples were fully grown, they compared their heights. Plant variety Height of plant (inches) Mean Mean absolute deviation (inches) Variety A 23, 21, 18, 10, 23 19 4 Variety B 18, 11, 13, 13, 15 14 2 Based on these data, which statement is true? O A. Variety A always grows taller than variety B. B. The average height of variety A is greater and varies more than that of variety B. O C. The average height of variety A is greater but varies less than that of variety B. O D. The maximum height of variety B is greater than that of variety A.
Answer:
the answer is B!
Step-by-step explanation:
i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.
Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.
Answer:
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Step-by-step explanation:
Given - The matrices are -
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
To find - Arrange the matrices in increasing order of their determinant values.
Proof -
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is
= (2)(4) - (6)(3)
= 8 - 18
= -10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] = -10
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is
= (-2)(9) - (-7)(5)
= -18 + 35
= 17
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is
= (6)(-8) - (6)(5)
= -48 - 30
= -78
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] = -78
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is
= (2)(-5) - (4)(5)
= -10 - 20
= -30
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is
= (2)(4) - (5)(-2)
= 8 + 10
= 18
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is
= (4)(2) - (-3)(5)
= 8 + 15
= 23
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] = 23
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is
= (3)(6) - (2)(4)
= 18 - 8
= 10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] = 10
Now,
Increasing order of Determinant is -
-78 < -30 < -10 < 10 < 17 < 18 < 23
So,
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Answer:
Correct on Edmentum
Step-by-step explanation:
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
The time it takes John to get to the store is inversely proportional to
his rate. John walks at a rate of 3 miles per hour. It takes him 20
minutes to walk to the store. He rides his bike at a rate of 15 miles
per hour. How long would it take John to ride his bike to the store?
Answer:8 mph
Step-by-step explanation:
can someone please pls help me
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
the diameter is a circle is 18cm. Find it’s circumference in terms of π.
C= ________cm
Answer:
the answer interm of pie will be 18π
Step-by-step explanation:
circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π
when the “a” value is negative in any quadratic what do you know about the graph?
Answer:
when a is negative, the parabola opens downward
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.
Answer:
d
Step-by-step explanation:
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
List a pair of corresponding angles
Answer:
2 and 6, 1 and 5, 3 and 7, 4 and 8
Step-by-step explanation:
Any one of those would work
Answer: <1 and <5
Step-by-step explanation:
pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.
Here is your answer ^^
----------------------------------
C≈25.13cm
Explanation:
C=2πr
d=2r
Solving for C:
C=πd=π·8≈25.13274cm
-------------------------------------
Anyways bye! <3
HI PLEASE ANSWER THIS QUESTION FOR ME IM GIVING OUT BRAINLIEST AND 20+ POINTS !! D:
Answer:
12
Step-by-step explanation:
Anyone I need help whit this question
Answer: 94.3 meters
Step-by-step explanation:
A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?
Answer:
91 students
Step-by-step explanation:
130 x 70% =91
Answer:
91 students
Step-by-step explanation:
so we are looking for 70% of 130
so we do the following:
130*.70
91 students
Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?
Answer:
25 km
Step-by-step explanation:
[tex]\frac{5}{25} :\frac{y}{125}[/tex]
y · 25 = 5 · 125
25y = 625
25y ÷ 25 = 625 ÷ 25
y = 25
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
opposite pairs of triangles are congruent.
Answer:
Opposite pair of triangles are congruent
Step-by-step explanation:
Because in parallelogram
Opposite sides are congruentOpposite angles are congruentSo.opposite pair of triangles are congruent
HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL
Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!
Step-by-step explanation:
Verify that:
1. (CosX)(CotX) = CscX - SinX
2. (Csc X - CotX)^2 = 1-CosX/1+CosX
These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:
[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]
Note that cot(x) = cos(x) / sin(x). Hence:
[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]
Multiply:
[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:
[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Split:
[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Simplify:
[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]
Problem 2)
We want to verify that:
[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Square:
[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:
[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out the sin²(x) from the denominator:
[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (perfect square trinomial):
[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (difference of two squares):
[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out a negative from the first factor in the denominator:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Cancel:
[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Distribute the negative into the numerator. Therefore:
[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
Questions
answered
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elapsed
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Need a break?
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]