Answer:
f(3) = 9
Step-by-step explanation:
Wherever you see an x on the right, put a 3 in for that x
f(x) = 2x^2 + x - 12
f(3) = 2*(3)^2 + 3 - 12
f(3) = 2*9 + 3 - 12
f(3) = 18 + 3 - 12
f(3) = 9
20 POINTS!!! NEED HELP ASAP!!!
Which exponential function is represented by the table?
f(x) = 0.2(0.5x)
f(x) = 0.5(5x)
f(x) = 0.5(0.2x)
f(x) = 0.2(0.2x)
Answer:
c
Step-by-step explanation:
if f(x)=3x^2 and g(x)=x+2, find (f*g)(x)
Answer:
(f+g)(x) = 3x^2 + x + 1
Sanjay needs 90 meters of fence to go around a rectangular garden.
The length l of the garden is three times its width w.
Three of these equations give the correct value for w.
Which equation does NOT?
w+3w=90
w+3w+w+3w=90
2⋅w+2⋅3w=90
2⋅(3w+w)=90
To find the perimeter of a rectangle you can multiply the length by 2 and the width by 2, or you can add the four sides together.
The wrong equation is w + 3w = 90 because it only has one width and one length, which would be half the total perimeter.
Final answer:
The equation that does not correctly represent the width w of Sanjay's rectangular garden given the total fence length and length-width relationship is w + 3w = 90, as it simplifies to 4w = 90, which is not the correct equation for this context.
Explanation:
The question asks to identify which equation does not correctly represent the width w of Sanjay's rectangular garden, given that the total length of the fence is 90 meters and that the length l of the garden is three times its width w. We know the perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width.
We can substitute l = 3w into the perimeter formula to get P = 2(3w) + 2w, which simplifies to P = 6w + 2w or P = 8w. Given that P = 90, the correct equation is 8w = 90. Now, let's examine the provided equations:
w + 3w = 90 simplifies to 4w = 90.
w + 3w + w + 3w = 90 simplifies to 8w = 90, which is the correct equation.
2 · w + 2 · 3w = 90 simplifies to 2w + 6w = 90 which simplifies to 8w = 90, which is also correct.
2 · (3w + w) = 90 simplifies to 2 · 4w = 90 which simplifies to 8w = 90, which is again correct.
Thus, the equation that does not give the correct value for w is w + 3w = 90.
Evaluate the functions f(x)= -2x+7 at the indicated values. A) find f(3)
B) find f(-5)
To find the answers, we can put the numbers as x.
A) f(x)= -2x+7, when f(3)
f(3) = -2(3)+7
=-6+7
=1
Therefore f(3) = 1
B) f(x)= -2x+7, when f(-5)
f(-5)= -2(-5)+7
=10+7
=17
Therefore f(-5) = 17
Hope it helps!
Which of these ordered pairs is a solution to the inequality
y< x + 12
-2, 5
0, 1
15, 0
-5, 0
All of the above.
To check if an ordered pair is a solution to the inequality, plug in the ordered pair into the inequality and see if the inequality checks out.
[tex]y<x+12[/tex]
(-2,5)
[tex]5<-2+12[/tex]
[tex]5<10[/tex]
So this ordered pair works.
(0,1)
[tex]1<0+12[/tex]
[tex]1<12[/tex]
So this ordered pair works as well.
(15,0)
[tex]0<15+12[/tex]
[tex]0<27[/tex]
So this ordered pair works.
(-5,0)
[tex]0<-5+12[/tex]
[tex]0<7[/tex]
So this ordered pair works as well.
30 = x/5
dnjdjrjrjejjeuehehehehrhhr
Answer:
x = 150
Step-by-step explanation:
Answer:
[tex]\boxed{x=150}\checkmark[/tex]
The answer should have a "POSITIVE SIGN ONLY!"""
Step-by-step explanation:
First, you do is switch sides.
[tex]\frac{x}{5}=30[/tex]
Then, you multiply by 5 from both sides.
[tex]\frac{5x}{5}=30*5[/tex]
Finally, you solve and simplify.
[tex]30*5=150[/tex]
So, the final answer is x=150.
I hope this helps you!
Have a nice day! :)
how would you solve x in this equation?
1.4(2x+3) = 0.9(3x-2)
Answer:
x = -60
Step-by-step explanation:
1.4(2x+3) = 0.9(3x-2)
(1.4)(2x) + (1.4)(3) = 0.9(3x) - 0.9(2)
2.8x + 4.2 = 2.7x - 1.8
2.8x - 2.7x = -1.8 -4.2
0.1x = -6
x = -60
Answer:
x = - 60
Step-by-step explanation:
1.4(2x+3) = 0.9(3x-2) Remove the brackets
2.8x + 4.2 = 2.7x - 1.8 Subtract 4.2 from both sides
2.8x +4.2-4.2 = 2.7x - 1.8- 4.2
2.8x = 2.7x - 6 Subtract 2.7x from both sides
2.8x-2.7x = - 6
0.1x = - 6 Divide by 0.1
0.1x/0.1 = - 6/0.1
x = - 60
A number c multiplied by -2 is no less than - 3. Write this word sentence as an inequality.
An inequality is
Answer: -3 ≤ -2c
Step-by-step explanation:
First multiply C by -2, and make sure it's not less than -3. It can be -3, but it can't be less than.
the sum of the first 150 negative integers is represented using the expression
Answer:
[tex]\large\boxed{-11,325}[/tex]
Step-by-step explanation:
First simplify:
[tex]-1-(n-1)=-1-n-(-1)=-1-n+1=-n[/tex]
Therefore we have:
[tex]\sum\limits_{n=1}^{150}[-1-(n-1)]=\sum\limits_{n=1}^{150}(-n)=(-1)+(-2)+(-3)+...+(-150)\\\\-1,\ -2,\ -3,\ -4,\ ...,\ -150-\text{it's the arithmetic sequence}\\\text{with the common difference d = -1.}\\\\\text{The formula of a sum of terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute}\ n=150,\ a_1=-1,\ a_n=-150:\\\\S_{150}=\dfrac{-1+(-150)}{2}\cdot150=(-151)(75)=-11,325[/tex]
Answer:
C.)
Step-by-step explanation:
If two solids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes?
solid 1 : L:14 H:7 W:21
solid 2: L:4 H:2 W:6
Answer:
8 : 343
Step-by-step explanation:
Given 2 similar figures
ratio of sides = a : b, then
ratio of volumes = a³ : b³
Here the ratio of edges = 2 : 7, hence
ratio of volumes = 2³ : 7³ = 8 : 343
Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 5 m? fraction 1 over 5 whole cubed m2 fraction 1 over 5 whole squared m2 fraction 1 over 5 multiplied by 2 m2 2 multiplied by fraction 1 over 5 m2
Answer:
1/5 squared
Step-by-step explanation:
Answer:
Fraction 1 over 5 whole squared m²
Step-by-step explanation:
We know that,
The area of a square,
[tex]A=s^2[/tex]
Where, s is the side of the square,
Here,
[tex]s=\frac{1}{5}\text{ meters}[/tex]
Thus, the area of the square,
[tex]A=(\frac{1}{5})^2\text{ square meters}[/tex]
= Fraction 1 over 5 whole squared m²
In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from sugar?
82%
60%
58%
66%
Answer: You can simply find out the percentage of the calories from the sugar with this formula :
165/250 x 100%
You will find out that the percentage would be 66 %
hope this helps!
Step-by-step explanation:
Let f(x) = - 4x - 1 and g(x) = x2 + 3.
Find (fog)(4)
Then (fog)(4) =
. (Simplify your answer)
Answer:
- 77
Step-by-step explanation:
To evaluate, substitute x = 4 into g(x) then substitute the value obtained into f(x).
g(4) = 4² + 3 = 16 + 3 = 19
f(19) = (- 4 × 19) - 1 = - 76 - 1 = - 77
Simplify square root 18
Answer:
3√2
Step-by-step explanation:
√18 = √9 x √2 = 3√2
Start by making a factor tree for 18.
18 factors as 6 x 3 and 6 factors as 2 x 3.
Look for pairs of factors that are the same.
In this case, the 3's match up.
So a 3 will come out of the radical.
Whatever does not pair up stays inside.
In this case, the 2 goes inside.
So our answer is 3√2.
Which of the following choices gives you a slope of 3?
Answer: Could you list the choices?
Fill in the blank of the triangle below x=
ANSWER
[tex]37.53units[/tex]
EXPLANATION
From the given right angle triangle the known angle is 47°
The side length which is x units is opposite to the known angle.
We also know a side length 35 units which is adjacent to the given angle.
We use the tangent ratio to obtain,
[tex] \tan(47 \degree) = \frac{opposite}{adjacent} [/tex]
[tex]\tan(47 \degree) = \frac{x}{35} [/tex]
[tex]x = 35\tan(47 \degree) = 37.53 \: units[/tex]
Answer:
x = 37.53 units
Step-by-step explanation:
Points to remember
Trigonometric ratios
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see a right angled triangle with one angle is 47° and adjacent side length of that angle is 35
To find the value of x
From the figure we can write,
Tan 47 = Opposite side/Adjacent side
= x/35
x = 35 * Tan 47
= 37.53 units
Solve this linear system using matrices:
x1 + 2x2 − x3 = −4
x1 + 2x2 + x3 = 2
−x1 − x2 + 2x3 = 6
In matrix form, the system is
[tex]\begin{bmatrix}1&2&-1\\1&2&1\\-1&-1&2\end{bmatrix}\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}=\begin{bmatrix}-4\\2\\6\end{bmatrix}[/tex]
Solving this "using matrices" is a bit ambiguous but brings to mind two standard methods.
Using inverses:Compute the inverse of the coefficient matrix using the formula
[tex]\mathbf A^{-1}=\dfrac1{\det\mathbf A}\mathbf C^\top[/tex]
where [tex]\mathbf A[/tex] is the coefficient matrix, [tex]\det\mathbf A[/tex] is its determinant, [tex]\mathbf C[/tex] is the cofactor matrix, and [tex]\top[/tex] denotes the matrix transpose.
We compute the determinant by a Laplace expansion along the first column:
[tex]\det\mathbf A=\begin{vmatrix}1&2&-1\\1&2&1\\-1&-1&2\end{vmatrix}[/tex]
[tex]\det\mathbf A=\begin{vmatrix}2&1\\-1&2\end{vmatrix}-\begin{vmatrix}2&-1\\-1&2\end{vmatrix}-\begin{vmatrix}2&-1\\2&1\end{vmatrix}[/tex]
[tex]\det\mathbf A=5-3-4=-2[/tex]
The cofactor matrix is
[tex]\mathbf C=\begin{bmatrix}5&-3&1\\-3&1&-1\\4&-2&0\end{bmatrix}\implies\mathbf C^\top=\begin{bmatrix}5&-3&4\\-3&1&-2\\1&-1&0\end{bmatrix}[/tex]
which makes the inverse
[tex]\mathbf A^{-1}=\begin{bmatrix}-5/2&3/2&-2\\3/2&-1/2&1\\-1/2&1/2&0\end{bmatrix}[/tex]
Finally,
[tex]\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}=\mathbf A^{-1}\begin{bmatrix}-4\\2\\6\end{bmatrix}\implies\boxed{x_1=1,x_2=-1,x_3=3}[/tex]
Gauss-Jordan elimination:Take the augmented matrix
[tex]\begin{bmatrix}1&2&-1&-4\\1&2&1&2\\-1&-1&2&6\end{bmatrix}[/tex]
Subtract row 1 from row 2, and -(row 1) from row 3:
[tex]\begin{bmatrix}1&2&-1&-4\\0&0&2&6\\0&1&1&2\end{bmatrix}[/tex]
Multiply row 2 by 1/2:
[tex]\begin{bmatrix}1&2&-1&-4\\0&0&1&3\\0&1&1&2\end{bmatrix}[/tex]
The second row tells us that
[tex]x_3=3[/tex]
Then in the third row,
[tex]x_2+x_3=2\implies x_2=-1[/tex]
Then in the first row,
[tex]x_1+2x_2-x_3=-4\implies x_1=1[/tex]
Answer:
1
-1
3
Step-by-step explanation:
j did it on edge
Julio bought 10 shares of Apex Co. for $50 each and later sold all of them at
$55 each. This transaction resulted in what type of event?
O
A. Capital profit
O
B. Capital gain
O
C. Capital win
O
D. Capital loss
Answer: B. Capital Gain
Step-by-step explanation:
Which shows one way to determine the factors of x - 9x2 + 5x – 45 by grouping?
O x2(x - 9) – 5(x – 9)
O x2(x+9) – 5(x + 9)
O x(x2 + 5) - 9(x2 + 5)
x(x2 – 5) – 9(x2 - 5)
Answer:
The last one.
Step-by-step explanation:
The grouping of factors are x(x² + 5) - 9(x² + 5).
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.
We have equation
x³ - 9x² + 5x - 45.
Now, factories the equation as
x² (x-9) + 5(x-9)
= (x² + 5)(x-9)
1. x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 (False)
2. x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 (False)
3. x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 (True)
4. x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 (False)
Learn more about Polynomial here:
https://brainly.com/question/1286778
How many solutions does the following equation have?
-2z+10+7z=16z+7
Start with
[tex]-2z+10+7z=16z+7[/tex]
Simplify the left hand side by summing like terms (the one involving z):
[tex]5z+10 = 16z+7[/tex]
Subtract 5z from both sides:
[tex]10 = 11z+7[/tex]
Subtract 7 from both sides
[tex]3 = 11z[/tex]
Divide both sides by 11:
[tex]z = \dfrac{3}{11}[/tex]
The equation has one solution and the solution is z = 3/11.
What is simplification of an equation?Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation.
For the given situation,
The equation is -2z+10+7z=16z+7
The equation can be simplified as
⇒ [tex]-2z+10+7z=16z+7[/tex]
⇒ [tex]-2z+7z-16z=7-10[/tex]
⇒ [tex]-11z=-3[/tex]
⇒ [tex]z=\frac{-3}{-11}[/tex]
⇒ [tex]z=\frac{3}{11}[/tex]
Hence we can conclude that the equation has one solution and the solution is z = 3/11.
Learn more about simplification of an equation here
https://brainly.com/question/11444405
#SPJ2
Give the solution of the equation x+7/ 5 =10
Answer:
see below
Step-by-step explanation:
x + 7/5 = 10
Subtract 7/5 from each side
x+7/5 -7/5 = 10 -7/5
x = 10-7/5
Get a common denominator
x = 50/5 - 7/5
x = 43/5
As a mixed number
x = 8 3/5
Or if the equation was
(x+7)/5 = 10
Multiply by 5
(x+7)/5 *5 = 10*5
x+7 = 50
Subtract 7 from each side
x+7-7 = 50-7
x = 43
Answer:
x = 43/5
Step-by-step explanation:
Subtract 7/5 from both sides.
x + 7/5 - 7/5 = 10 - 7/5
x= 43/5
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-
slope form is y + 1 = 2/3 (x-8).
Answer:
2x - 3y = 19
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
Given
y + 1 = [tex]\frac{2}{3}[/tex](x - 8)
Multiply all terms on both sides by 3 to eliminate the fraction
3y + 3 = 2(x - 8)
3y + 3 = 2x - 16 ( subtract 3y from both sides )
3 = 2x - 3y - 16 ( add 16 to both sides )
19 = 2x - 3y, that is
2x - 3y = 19 ← in standard form
If an orthocenter lies inside of a triangle, then the triangle must be?
Answer: Acute
Step-by-step explanation: Right triangle has an angle of 90, and obtuse is more than 90, acute is less then 90 so there you go, hope this helps!
Answer:
acute
Step-by-step explanation:
What is the solution set for x +5>3?
{x:x>0}
{X: X > -1}
{x: x>-2}
{X: X > 2}
Answer:
see explanation
Step-by-step explanation:
Solve the inequality
x + 5 > 3 ( subtract 5 from both sides )
x > - 2
solution set is { x : x > - 2 }
Which is the measure of the third angle in the similar triangles below?
Answer choices
25
65
85
115
Answer:
65
Sorry if im wrong
If 1/x+ 1/y= 1/4 and 1/x-1/y=3/4, then x=
A) 1/4
B) 1/2
C) 2
D) 4
SOMEONE PLEASE HELP!!!!
Answer:
C) 2
Step-by-step explanation:
1/x+ 1/y= 1/4 and 1/x-1/y=3/4
Add the two equations together
1/x+ 1/y= 1/4
1/x-1/y=3/4
---------------------------
2/x = 4/4
2/x =1
Multiply each side by x
2/x *x = 1x
2 =x
•••••Answer this question thanks •••••
2b < 10
b < 5
How to draw it:
1. Draw a hollow point on number "5"
2. Draw a small vertical line on the top of the point.
3. Draw a long honrizontal line from that vertical line to the left to the end, and add an arrow.
First divide 2 to both sides to isolate b. Since 2 is being multiplied by b, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2b ÷ 2 < 10 ÷ 2
1b < 5
b < 5
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
b < 5
aka b is less then five
This means that the graph will have an empty circle and the arrow will go to the left of 5.
The graph is in the image below:
Hope this helped!
~Just a girl in love with Shawn Mendes
Does 5x-1=3(x+11) have one solution
Answer:
x=17
Step-by-step explanation:
Distributive property: A(B+C)=AB+AC
Expand.
3(x+11)=3x+33
5x-1=3x+33
Add by 1 from both sides of equation.
5x-1+1=3x+33+1
Simplify.
5x=3x+34
Subtract by 3x from both sides of equation.
5x-3x=3x+34-3x
Simplify.
2x=34
Divide by 2 from both sides of equation.
2x/2=34/2
Simplify, to find the answer.
34/2=17
x=17 is the correct answer.
I hope this helps you, and have a wonderful day!
Answer:
x=17
Step-by-step explanation:
5x-1=3x+33
5x-3x=33+1
2x=34
x=34/2
x=17
just 1 solution
Multiply and simplify the product. –12i × 3i Select the product. 36 -36 36i -36i
Answer:
36
Step-by-step explanation:
–12i × 3i
Multiply the numbers
-12*3 = -36
Multiply the imaginary number
i*i= i^2
We know i^2 = -1
-36 * -1 = 36
Answer:
36Step-by-step explanation:
[tex]i=\sqrt{-1}\to i^2=(\sqrt{-1})^2=-1\\\\-12i\times3i=(-12)(3)i^2=(-36)(-1)=36[/tex]
The temperature in Tampa Fonda is 15 degrees warmer than twice the temperature in Chicago, Illinois. The temperature in Tampa is 75 degrees. Write an equation to determine
the temperature in Chicago
The temp of Chicago is 30 degrees.
15 degree MORE than TWICE the temp of Chicago. 75-15=60/2. Hope this helps.
Answer:
2x + 15 = 75
Step-by-step explanation:
2 represents the twice, the x represents the unknown answer (Chicago), the + 15 is when it says florida is 15 degrees warmer