Answer:
1
Step-by-step explanation:
See pic for steps :)
f(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?
Answer:
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units left
f(x - n) - shift the graph n units right
f(x) = x² - 3x - 2.
shift 4 units left, f(x + 4) = (x + 4)² - 3(x + 4) - 2
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
[tex]52 - 6 \times 1 + 75 \times 3 \div 2[/tex]
....................................................
ASAP!!!
THANKS ........
Answer:
158.5
Step-by-step explanation:
= 52 - 6 × 1 + 75 × 3 / 2
= 52 - 6 + 75 × 3 ÷ 2
= 52 - 6 + 112.5
= 46 + 112.5
= 158.5
Answer:
The solution is 158,5
Step-by-step explanation:
52-6×1+75×3÷2
= 52-6+75×3÷2
= 46+225÷2
= 46+112,5
= 46+112,5
= 158,5
How would you describe the difference between the graphs of f(x) = x^2 +4 and
g(y) - y^2 +4?
Answer:
Step-by-step explanation:
The function [tex]f(x)=x^2+4[/tex] is a positive upwards opening parabola with the vertex at (0, 4), whereas
the function [tex]g(y)=y^2+4[/tex] is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.
What is 4 5/8 x 9 8/9???
Answer:
3293/72
Step-by-step explanation:
change to improper fraction to times.
3uq. when u = 2 and q=6
Answer:
[tex]3uq \\ 3 \times 2 \times 6 \\ = 36[/tex]
Answer:
[tex]36[/tex]
Step-by-step explanation:
[tex]3uq \\ = 3(2)(6) \\ = 36[/tex]
Hope it is helpful....An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a shadow as shown. How long is the shadow you cast given the triangles shown are similar?
A. 3.83
B. 8.63
C. 11
Answer:
Option (A)
Step-by-step explanation:
From the picture attached,
ΔABC and ΔDEF are the similar triangles.
Therefore, by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]
[tex]\frac{5.75}{18}=\frac{BC}{12}[/tex]
BC = [tex]\frac{12\times 5.75}{18}[/tex]
BC = 3.83 ft
Option (A) will be the correct option.
In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?
Show your work.
Answer:
190%
Step-by-step explanation:
$1.56 is close to nearly 2x the value of $0.87
You can start by multiplying $0.87 by 2 to get $1.74
Now put $1.56 / $1.74
This gets you 0.89655172
By rounding this, you can get to 0.90
Move the decimal places two spots over to get a percentage = 90%
Since the eggs didn't decrease in value, you can add the 100% from the beginning of the problem.
100+90=190%
An apple cost $6 and a peach costs $3.Mr Joe paid $60 in all for 12 fruits. How many of apples did he buy?
Answer:
8 apples
Step-by-step explanation:
costof 8 apples=48
cost of 4 peaches=12
please help with this problem!
Answer:
Second option
Step-by-step explanation:
Let's assume that x is 1 and y is 3
a) [tex]\frac{1}{2}[/tex] < [tex]\frac{3}{2}[/tex] = true
b) -1 < -3 = false
c) 1+2 < 3+2 = true
d) 2 x 1 < 2 x 3 = true
Question 8 of 49
Which definition best describes skew lines?
O A. Lines that intersect at a right angle
O B. Lines that intersect
O C. Lines that do not intersect and are not in the same plane
O D. Lines that do not intersect and are in the same plane
Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?
Given:
The expression is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
To find:
The correct form of the partial fraction decomposition for the given expression.
Solution:
We have,
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
By partial fraction decomposition, it can be written as:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex] ...(i)
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]
[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]
[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]
[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]
On comparing both sides, we get
[tex]A+C=4[/tex]
[tex]A+B+2C+D=3[/tex]
[tex]7A+C+2D=0[/tex]
[tex]7A+7B+D=0[/tex]
On solving these equations, we get
[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]
Substituting these values in (i), we get
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Therefore, the required partial fraction decomposition is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Answer:
A on Edg
Step-by-step explanation:
got it right
On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?
Answer:
100%_$40.80
? × _$38.76
Step-by-step explanation:
100%×$38.76÷$40.80=95%
Answer:
40.80
Step-by-step explanation:
HELPPP ME OUTTTTTT!!!!!!!
Answer:
3/5
Step-by-step explanation:
cos A = adjacent side / hypotenuse in a right triangle
cos A = 24/40
Cos A = 6/10
cos A = 3/5
(1 / 7 - 4√3)^3 + (1 / 7 + 4√3)^3
Given:
The expression is:
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
To find:
The simplified form of the given expression.
Solution:
Formulae used:
[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]
[tex](a-b)^3=a^3+3a^2b+3ab^2+b^3[/tex]
Adding this formulae, we get
[tex](a-b)^3+(a+b)^3=2a^3+6ab^2[/tex] ...(i)
We have,
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
Using formula (i), the given expression can be written as:
[tex]=2\left(\dfrac{1}{7}\right)^3+6\left(\dfrac{1}{7}\right)\left(4\sqrt{3}\right)^2[/tex]
[tex]=2\times \dfrac{1}{343}+6\left(\dfrac{1}{7}\right)48[/tex]
[tex]=\dfrac{2}{343}+\dfrac{288}{7}[/tex]
[tex]=\dfrac{2+14112}{343}[/tex]
[tex]=\dfrac{14114}{343}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{14114}{343}[/tex].
SOMEONE HELP ME PLEASE
Answer:
9/10 or 90 %
Step-by-step explanation:
There are 54+27+5+4 total people = 90
The people with diploma is 54+27 = 81
P (diploma) = number with diploma / total
= 81/90
=9/10
90%
What is the 8th term of the binomial expansion (x + y) ^10?
Select the correct answer.
A. 120x^7y^3
B. 720x^7y^3
C. 720x^3y^7
D. 120 x^3y^7
Answer:
It is Option D. 120 x^3 y^7
Option D is correct i.e. the eighth term of the given expansion is [tex]120x^{3} y^{7}[/tex].
What is binomial theorem?The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.
Binomial expressionA binomial expression is an algebraic expression that contains two dissimilar terms .
Formula for finding the general term in binomial expansion[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]
According to the given question
We have,
The binomial expansion [tex](x+y)^{10}[/tex]
Therefore,
The eighth term of the given binomial expansion is given by
[tex]T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}[/tex]
[tex]T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}[/tex]
[tex]T_{8} = 120x^{3} y^{7}[/tex]
Hence, option D is correct. i.e. the eighth term of the given expansion is [tex]120x^{3}y^{7}[/tex].
Learn more about the binomial expansion here:
https://brainly.com/question/12249986
#SPJ2
Kevin and Amy are working on an experiment in the
science lab. They start with 2.6 grams of oil and add water
to get exactly 4.32 grams of solution. To find the amount
of water added, they subtract the weight of the oil from the
weight of the solution. Kevin calculates the difference to
be 4.06 grams; Amy calculates it to be 1.72 grams.
Answer:
Amy is right
Step-by-step explanation:
4.32-2.6 = 1.72
Answer:
Amy is correct
Step-by-step explanation:
4.32-2.6 = 1.72
Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0
Answer:
2x + 3y - 5 = 0
Step-by-step explanation:
(4 , -1) & (-2,3)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]
m = -2/3; (4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]
Multiply the equation by 3
3y + 3 = -2x + 8
3y = -2x + 8 - 3
3y = -2x + 5
2x + 3y - 5 = 0
Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.
Answer:
b)48 km/hr (12 km in .25 hrs)
c) avg speed: 60/3 = 20 km/hr
Step-by-step explanation:
a)
.5 18
.75 18
1 30
1.5 30
2 40
2.25 40
3 60
HELP QUICK PLEASE!
Which additional information would suffice to prove AJKM AKIL by Side-Angle-Side?
O MK LJ
O MJ | LK
O ZJMKZKLJ
O ZJKM ZKIL
Answer: MK is congruent to LJ
Step-by-step explanation: If the legs of the triangle are equal then that must mean the hypotenuses are as well.
What number should be added to both sides of the equation to complete the square?
X^2+126= 11
Answer:
126/2 = 63^2
Step-by-step explanation:
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
which ordered pair is the best estimate for the solution to the system?
Answer:
(-2, 5)
Step-by-step explanation:
Plug each ordered pair in both equations and see if they fit in BOTH equations.
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
Solve The Inequality
Answer:
B
Step-by-step explanation:
I just solved it now
you are welcome
Answer:
x∈[13,+∞]
Step-by-step explanation:
x≥13
please help solve this (geometry)
Answer:
∠ 3 = 140°
Step-by-step explanation:
∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then
∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°
Help me plz I need help
Answer:
x = 14°
Step-by-step explanation:
x + 76° = 90°
or, x = 90° - 76°
so, x = 14°
A is 2 times older than B. Identify the appropriate expression.
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
Simplify the expression to lowest terms.
4x2-9/2 x2 + 11 x +12
