Answer:
128
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 2 = 20 - 11 = 9
This indicates the sequence is arithmetic with n th term
[tex]t_{n}[/tex] = t₁ + (n - 1)d
where t₁ is the first term and d the common difference
Here t₁ = 2 and d = 9 , thus
t₁₅ = 2 + (14 × 9) = 2 + 126 = 128
Which graph can be used to find the solution of the following system of equations?
Answer:
A
Step-by-step explanation:
1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.
[tex]2y-2x=10[/tex]
[tex]2y=2x+10[/tex]
[tex]y=x+5[/tex]
So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.
I hope this helps!
Helps me solve this problem please
Answer:
A.
Step-by-step explanation:
You just plug in the numbers
y = x - 7
-5 = 2 - 7
- 5 = - 5
This makes this equation true.
7,652x5 please regroup I don’t understand :(
Answer:
38260
Step-by-step explanation:
ur welcome
Answer:
38,260
Step by step instructions
Pls help please show work and steps
Answer:
No/ False.
Step-by-step explanation:
1.) Substitute the coordinates to the given inequality; x is 2, and y is 2. Then, solve.
[tex]2x-3y\geq 6\\2(2)-3(2)\geq 6\\4-6\geq 6\\-2\geq 6[/tex]
Negative 2 (-)2 is NOT GREATER THAN OR EQUAL to Positive 6 (+6), therefore it is a FALSE STATEMENT.
Answer:
no
Step-by-step explanation:
its in the picture. -2 is not greater than or equal to 6
can someone please help me winner gets (Brainllest)
Answer:
For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5? A. when b = 0 B. when b = 54 C. when b = 5 D. always
Answer:
b = 5/4
Step-by-step explanation:
Equations
Given the function:
[tex]f(x)=mx+b[/tex]
It's required to find the value of b such that:
[tex]5f(x)=f(5x)+5[/tex]
Substituting:
[tex]5(mx+b)=5mx+b+5[/tex]
Operating:
[tex]5mx+5b=5mx+b+5[/tex]
Simplifying:
[tex]5b=b+5[/tex]
Subtracting b:
[tex]4b = 5[/tex]
Dividing by 4:
b = 5/4
Solve: h + 12.6 = -12.6 *
Answer:
h = -25.2
Step-by-step explanation:
To solve the equation, you want to isolate the h variable. To do this, move 12.6 to the other side of the equation. Since you were adding on the left side, use the inverse operation, subtracting, on the right. Simplify the result to get the answer.
h + 12.6 = -12.6
h = -12.6 - 12.6
h = -25.2
Sun-Li has $30 to spend at the carnival. Admission is $5, and each
ride costs $2. What is the greatest number of rides she can ride?
Write and solve an inequality.
Answer:
Sun-Li will be able to ride 12 rides. (30-5)/2=24
Step-by-step explanation:
Identify the independent and dependent variable for the given situation. D = 5t
Answer:
d = dependant; t = independant
Step-by-step explanation:
The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.
Answer:
[tex]D[/tex] = dependent; [tex]t[/tex] = independent
Step-by-step explanation:
[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].
[tex]t[/tex] is the independent variable since it is the input variable which can be changed.
Hope this helps :)
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
It's asking to find X
Answer: 50 degrees
Step-by-step explanation:
the middle angles are vertical (equal to eachother) so you just have to do 180-80=100 and divided by two is fifty
A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.
Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/tex]
Step-by-step explanation:
To find an equation of a line in when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} - 3 \\ [/tex]
Hope this helps you
given the function g(x)=2x²-12 ,find g(-3).
Answer:
g(-3) = -30
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
g(x) = 2x² - 12
g(-3) is x = -3
Step 2: Solve
Substitute: g(-3) = 2(-3)² - 12Evaluate: g(-3) = -2(9) - 12Multiply: g(-3) = -18 - 12Subtract: g(-3) = -30A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.
Here is your system of equations:
200x + 400y = 3200
y = 2x
Now plug into your calculator to see the graph.
Where the lines cross each other is the point that shows the solution.
Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?
Answer:
Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.
Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%
The percent increase in the temperature is 50%.
To understand more, check below explanation.
Percentage increase:The temperature increases from 18° F to 27° F.
Increase in temperature = 27 - 18 = 9
The percent increase in the temperature is computed as,
[tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]
Learn more about the percentage here:
https://brainly.com/question/24304697
what is the value of this expression below when y=5 and z=3
10y-6z
Answer:
32
Step-by-step explanation:
The numbers and letters next to each other mean multiplication. Plus, we already know the values of y and z, so all you have to do is simplify the equation. 10y turns into 10 x 5, and 6z turns intro 6 x 3. So now the equation is 50 - 18, which equals 32. Hope this helps!
Value of expression 10y -6z if y = 5 and z = 3 = 32
What is an expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given
value of y = 5
value of z = 3
expression 10y - 6z
Putting value of y and z in the expression
10(5) - 6(3)
= 50 - 18
= 32
Hence, 32 is the value of expression 10y -6z if y = 5 and z = 3.
Learn more about expressions here:
brainly.com/question/13947055
#SPJ2
(5i-3)(9i+1)
Answer must be in standard form
Answer:
-48-22i
Step-by-step explanation:
A person decides to lease a $20,000 car for three years instead of buying the car and financing with a loan. At the end of three years, the car is worth $11,000. How much will he receive when he returns the car to the dealership?
Oksuruk diyaframincok ani kasilmasiyla olusan bir reflekstir.
Helps me solve this problem please
Answer:
i think it b or d
Step-by-step explanation:
hope it helps!
Yoo how yall doinnnnn
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
Watch one is the right one
Answer:
I would say A and E would be it.
Step-by-step explanation:
I WILL MARK BRAINIEST
Answer:
U can determine that lines e and f are not parallel
Step-by-step explanation:
By remembering vertical angles, u can find all the angles for the diagram. The top are: 110, 70, 70, 110. The bottom four are: 105, 75, 75, 105. As u can see they're not the same so the lines cannot be parallel
ASAP 20 points!!! & BRAINLIEST!
Answer:
None are parallel.
Step-by-step explanation:
Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.
Hope this helped!
Mae Ling earns a weekly salary of $370 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answer:
Mae ling would have made 2,302.
Step-by-step explanation:
How many even integers are there between -4 and 4 ?
F. 1
G. 3
H. 4
J. 5
K. 7
Answer:
( -2,0,2 ) three
Step-by-step explanation:
HOPE THIS HELPS
How much do you need to subtract from 43/10 to make 4?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
What is the product of 0.4 and 0.9
Answer:
0.36
Step-by-step explanation:
0.4=4/10
0.9=9/10
9/10 times 4/10= (9 times 4)/(10 times 10)=36/100=0.36
Another way you could've done it was to see that since there are 2 decimal points there, the product would also have to have 2 decimal points.
Answer:
.36
Step-by-step explanation: