Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
Answer:
[tex]f(x+2)=x^2+4x+11[/tex]
Step-by-step explanation:
In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.
In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:
[tex]f(x+2)=(x+2)^2+7[/tex]
Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],
[tex]f(x+2)=x^2+4x+4+7[/tex]
Combine like terms:
[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]
What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet
Answer:
11 feet
Step-by-step explanation:
Given,
Area of square ( a^2 ) = 121 ft
To find : Length of each side ( a ) = ?
Formula : -
Area of square = a^2
a^2 = 121
a = √121
a = 11 feet
Answer:
11 ft = side length
Step-by-step explanation:
The area of a square is found by
A = s^2
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11 = s
8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?
the answer is in the picture
Nas funções f(x) = -3x+9; f(x) = 2x-4 e f(x) = 5x-5, caso construamos seus respectivos gráficos, informe respectivamente os pares ordenados correspondentes aos zeros da função, ou seja, os pares ordenados que indicam onde os gráficos interceptam a abscissa (eixo "X") e a ordenada (eixo y ou f(x)) de cada uma das três funções.Leitura Avançada
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
{(3,0) e (0,9)}; {(2,0) e (0,4)}; {(1,0) e (0,5)}
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,5)}
{(3,0) e (0,-9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
1st option
{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}
see screenshot
sorry btw, no hablo espanol
What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
help me with this please
use r =27 & x =3
[tex]-\frac{r}{9}+ 5x[/tex]
Answer:
12
Step-by-step explanation:
First substitute the equation with the variable replacements given:
-r/9 + 5x <--- Before
-27/9 + 5(3) <--- After
Next Solve the parts of the Equation
-27/9 + 5(3)
-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.
= 12 <--- 15 - 3 = 12.
I hope this helps!
Answer:
12
Step-by-step explanation:
[tex]-\frac{27}{9}+5(3)[/tex]
- 3 + 15
15 - 3
12
Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]
Answer:
y=9x^2 + 8
Step-by-step explanation:
using the power rule, we will differentiate each term separately
d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2
d/dx of 8x = 8x^(1-1) = 8
d/dx of -7 = 0
combining them we get the derivative which is y = 9x^2 + 8
Answer:
9x² + 8
Step-by-step explanation:
The given function to us is ,
[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]
And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have
[tex]\implies y = 3x^3 + 8x - 7 [/tex]
Recall that , the derivative of constant is 0 . Therefore ,
[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]
Hence the derivative of given function is 9x² + 8 .
Joe wants to add cucumbers to his garden and knows the rectangular area is represented by x^2 - 4x - 21 square units. What expressions would represent the length and width of the cucumber field?
Given:
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
To find:
The length and width of the cucumber field.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where l is length and w is width of the rectangle.
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.
[tex]A=x^2-4x-21[/tex]
Splitting the middle term, we get
[tex]A=x^2-7x+3x-21[/tex]
[tex]A=x(x-7)+3(x-7)[/tex]
[tex]A=(x-7)(x+3)[/tex]
Area of a rectangle is the product of length and width.
Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.
Someone tell me where everyone is going right please !!
9514 1404 393
Explanation:
The problem statement tells you the meaning of t. It is minutes after Riko leaves. 0 ≤ t < 52.5 is the answer to the question regarding the interval Riko is behind Yuto. It means Riko is behind Yuto for 52.5 minutes after she leaves their house.
t will not be negative because time moves forward. Here, we're only counting time after Riko leaves the house. A negative value for t would refer to a time before Riko leaves the house, which is irrelevant in this problem.*
_____
* One might argue that Riko is behind Yuto for all values of time after Yuto leaves the house, which would be for -21 < t < 52.5. The concept of "behind Yuto" has no meaning except in that interval.
Answer:
again again again hello or merhaba(hello)
speed = path / time
so we can say this;
speed × time = path
note;
two speeds in different directions add up
and
two speeds in the same direction subtract
our speeds are in the same direction so we subtract
0.35 - 0.25 = 0.10 speed
and our path is 5.25 miles because there are 5.25 miles between Yuto and Rico
when will they be in the same place now?
Let's solve with the formul;speed × time = path
0.10 × time = 5.25 miles
in this equation we find the time 52.5 minutes
After 52.5 minutes they will be in the same place but before 52.5 minutes Riko will be behind Yuto
When Riko was behind Yuto;0≤ t ≤ 52,5 ( this is our equation of time)
now the second question?Why can't t be less than 0?because time cannot take a negative value, as soon as they start moving, time passes and this cannot take a negative value
GOOD LUCK :D
Step-by-step explanation:
greetings from Turkey (≧▽≦)
Solve for x. Round to the nearest tenth, if necessary.
Answer:
X would be 63.9
Hope it helps
Step-by-step explanation:
The value of the variable 'x' using the cosine formula will be 63.9 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 35° = x / 78
x = 63.9
The value of the variable 'x' using the cosine formula will be 63.9 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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Which is the pair of congruent right angles?
A).CAB=DAE
B).CBA=DEA
C).BCA=EDA
D).ACB=ADE
Answer:
It's C
Step-by-step explanation:
[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.
[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
What is the value of x?
Enter your answer in the box.
Answer:
solution
Step-by-step explanation:
ADC = Sum of triangle
AD+ AC = 2.25+3 =5.25
Step 2:
BCD = Sum of acute angled triangle = a+b+
c
BCD= 2.25+4+3
BCD = 9.25
The value of x =ADC+BCD
= 5.25+ 9.25
= 14.5
Which of the Following best describes a cylinder?
Answer:
D
Step-by-step explanation:
all the options seems similar..but i can find the D more suitable
Use the elimination method to solve the system of equations.
A. (1.5,-8)
B. (-6,-13)
C. (0,0)
D. (4.5,-6)
Answer:
(4.5,-6)
Step-by-step explanation:
[tex]2x-3y = 27\\4x+3y = 0[/tex]
6x = 27
x = 27/6=4.5
9-3y = 27
-3y = 18
y = -6
Kristy bought a new tv the total cost of the tv was £360 including vat at 20% work out the cost of the tv before the vat was added
Answer:
£288
Step-by-step explanation:
Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).
Since the taxes are 20% of the TV's value, we can calculate 20% of 360.
20% of 360 = 72
360 - 72 = 288
Therefore, the cost of the TV before taxes was £288.
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Hope This Helps!!!
The solution is : 255 miles total miles did the Ramos family drive.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
given that,
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.
we get,
Journey before lunch:
Speed = 55 mph
Time = 3 hrs
distance = 55*3 = 165 miles.
Journey after lunch:
Speed = 45 mph
Time = 2 hrs
distance = 45 * 2 = 90 miles
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
To learn more on speed click:
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Annapolis Company purchased a $4,000, 6%, 5-year bond at 101 and held it to maturity. The straight line method of amortization is used for both premiums & discounts. What is the net cash received over the life of the bond investment? (all money received minus all money paid, round to nearest whole dollar)
Answer:
The answer is "[tex]\bold{\$1160}[/tex]"
Step-by-step explanation:
Calculating total paid money:
[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]
[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]
[tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]
Total earnings over the life of the corporate bond
[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]
Janna is using a cone-shaped cup to fill a cylindrical container. The cup has the same height and radius as the container. How many rimes will she have to fill the cone-shaped cup to completely fill the cylindrical container.
Answer:
3 times
Step-by-step explanation:
Step 1: Express the volume of the cup in terms of "r" (radius) and "h" (height)
The formula for the volume of a cone is:
Vcone = 1/3 × h × π × r²
Step 2: Express the volume of the container in terms of "r" and "h"
The formula for the volume of a cylinder is:
Vcylinder = h × π × r²
Step 3: Calculate how many times the volume of the cone is contained in the volume of the cylinder
Vcylinder/Vcone = (h × π × r²) / (1/3 × h × π × r²) = 3
factories ((x+2)+3x+6. 2a(a-1)-a+1
Answer:1. = 4x+8
2. 2a²-a+1
Step-by-step explanation:
1. ((x+2)+3x+6. 2. 2a(a-1)-a+1
((x+2)+3x+6
= x+2+3x+6
= 4x+8
2a(a-1)-a+1
2a²-2a-a+1
2a²-a+1
The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?
Sohail=17
afzal=16
Bilal=12
Aslam=16+5=21
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
Help please-- Given circle O below, if arc GH and arc HJ are congruent, what is the measure of chord line HJ?
Answer:
the answer is D
Step-by-step explanation:
Identify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Answer:
-8z+1
term:2
variable:z
coefficient:-8
constant:1
2
term:1
variable:nil
coefficient:nil
constant:2
y-7.7
term:2
variable:y
coefficient:nil
constant:-7.7
The solution is given below.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
now, we get,
-8z+1
term:2
variable: z
coefficient:-8
constant:1
again,
2
term:1
variable : nil
coefficient : nil
constant:2
now,
y-7.7
term:2
variable : y
coefficient : nil
constant:-7.7
To learn more on number click:
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Question: Dentify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
A and B are two similar solids...
Answer:
cant download send ss
Step-by-step explanation:
PLEASE ANSWER ASAPPP
Answer:
the answer is 2035.75 cm³
Step-by-step explanation:
comment if you want explanation
[tex]\text{Solve the system of equations:}\\\\\left \{ {{y=3x+5} \atop {y=-4x+7}} \right.\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
(0.286, 5.587)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587). See the graph attached.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Suppose f (x) = x². Find the graph of
f(x - 2).
Click on the correct answer
2
3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
Answer: Graph 2
Explanation:
The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.
In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.
