9514 1404 393
Answer:
(c) 5y - x = -20
Step-by-step explanation:
When the x- and y-terms are on the same side of the equation, the slope of the line will be ...
m = -(coefficient of x)/(coefficient of y)
So, the slopes of the offered choices are ...
a) -5/1 = -5
b) -1/5
c) -(-1)/5 = 1/5 . . . . . parallel to given line
d) -5/-1 = 5
The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.
I have my final exam soon 29/11/2021 , thank you all who helped me in math :>
Answer:
okay
Step-by-step explanation:
A coordinate plane with a straight line with a positive slope passing through the points, (0, negative 3) and (3, 4). Choose the answer to complete each statement. The slope of the line is . The y-intercept is at . The graph represents the function
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]
we can always find the y-intercept by simply setting x = 0, or namely
[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]
Answer:
first one is 7/3
second one is -3
third one is g(x) = 7/3x-3
Step-by-step explanation:
I got it right
50 Points! Please only answer if you know! Thank you.
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
Answer:
See belowStep-by-step explanation:
A) 3x - 9y > 27
x- intercept at y = 0 is:
3x = 27x = 9y-intercept at x = 0 is:
- 9y = 27y = -3Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).
B) (y-3) ≤ -4/3 (x+7)
Use one point from the equation:
(-7, 3)Find the second point using the slope - 4/3, add 3 to x and - 4 to y:
x = -7 + 3 = - 4y = 3 - 4 = - 1Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).
Shade the area below the line (because y ≤ ).
The sum of two numbers is 72 and their difference is 40. Using elimination method
Answer:
here's what we know:
a + b = 72
a - b = 26
We can use the elimination method to solve this problem:
a + b = 72
a - b = 26
---------------
2a = 98
Divide both sides by 2:
a = 49
So we now have:
49 + b = 72
and:
49 - b = 26
Subtract 49 from both sides:
b = 23
and
-b = -23 (multiply both sides by -1) → b = 23
Step-by-step explanation:
Due Tomorrow: Answer question 18 using steps
[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]
[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]
[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]
Now
[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]
[tex]\\ \sf\longmapsto AC^2=49+81[/tex]
[tex]\\ \sf\longmapsto AC^2=130[/tex]
[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]
Find the distance between two points in the simplest radical form
Answer:
The answer will be 5.
Step-by-step explanation:
using the formula d=/(x2-x1)2 +(y2-y1)
From 8:00 am to 8:20 am, Lisa picked 1/4 of a pound of strawberries. If she continues picking strawberries at this rate, how many pounds of strawberries will she pick in 4 hours?
Answer:
3 lbs
Step-by-step explanation:
20 mins is 1/4 lb (4oz)
1 hr is 3/4 lb (12 oz)
4 hrs= 3/4 lb or 12 oz × 4
4 hrs= 3 lbs or 48 oz
2 x 7 x 5 x 2 x ____=48
Answer:that is actually not correct
Step-by-step explanation:
2x 7 x 5 x 2 do nit equal 48 but they do equal 140
Answer:
-12/35
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please helpppp me step my step all the wayyy Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answer: Carla's suitcase was a better purchase.
Step-by-step explanation: Solution:
Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
What is the algebraic expression for the following word phrase: the product of 7 and the difference of x and y?
Answer:
7(x-y)
Step-by-step explanation:
difference of x and y=x-y
product of 7=7 times the expression
so,
Answer is 7(x-y)
X to the third power equals 512
Answer:
8
Step-by-step explanation:
I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS
Answer:
Step-by-step explanation:
7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???
Answer:
No.
Step-by-step explanation:
I think you're talking about simplifying/reducing the fraction.
You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.
The answer is already in its lowest/reduced form. You do not divide.
Please let me know if this was not what you were talking about!
100.00 decreased by 20%
Please help
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
What is the image of the point (1,-4) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-1, 4)
Step-by-step explanation:
Rotation 180° negates both coordinates:
(x, y) ⇒ (-x, -y)
The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).
(1, -4) ⇒ (-1, 4) . . . . after rotation 180°
What is the amplitude and period of the function shown below?
The features of the sine function in this problem are given as follows:
Amplitude: 2.
Midline: y = -4.
Period: 3 units.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here, we have,
The equation is given as follows:
y = 2sin(2πx/3) - 4.
we have to define the sine function:
The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.
B: the period is 2π/B.
C: phase shift.
D: vertical shift.
The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:
2A = 4.
A = 2.
Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:
D = -4.
The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:
2π/B = 3
B = 2π/3.
The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:
y = 2sin(2πx/3) - 4.
More can be learned about trigonometric functions at brainly.com/question/21558626
#SPJ2
mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?
Answer:
$53.95
Step-by-step explanation:
[Setting up an equation] 12.45x = y
() x is time worked and y is money made
[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y
[Multiply] 53.95 = y
[Answer] y = $53.95
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A world-famous prix fixe menu includes the following choices.
Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccino
First course (no choice): baguette, bruschetta, whole roasted garlic, and butter
Second course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine salad
Third course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plate
if you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onions
Fourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tart
How many different choices are possible?
Using the fundamental counting theorem, it is found that 107,016 different choices are possible.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]Then, applying the theorem:
[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]
107,016 different choices are possible.
A similar problem is given at https://brainly.com/question/19022577
The ratio of boys to girls in the class is 5:7. There are 36 children in the class. How many more girls than boys are there in the class? Use the tape diagram below to solve the problem.
Answer:
Step-by-step explanation:
ratio of 5:7 means that 5/(5 + 7) = 5/12 are boys and 7/(5 + 7) = 7/12 are girls
(5/12)(36) = 15 boys
(7/12)(36) = 21 girls
21 - 15 = 6 more girls than boys.
0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?
Answer:
0.5/ 10.2
Well its basically
Well first you gotta make sure the 10.2 is a whole number in order to divide
so we can multiply by 10
that turns it into 102
Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5
Now its easier so its 5/102
Now we just divide normally
*assuming its rounded to the nearest hundredths
0.05
1.79 ÷1.23=
A 1.31
B 1.35
C 1.5
D 1.38
Answer:
1.45528455285
Step-by-step explanation:
Round it up to nearest 10. So it's C
Use substitution to determine which value of x makes the equation x– 5 = 7.4 true
x=2.4
X= 6.9
X= 7.9
X = 12.4
HELPPPP
Step-by-step explanation:
I'm not sure if I'm using substitution method but I guess it's x = 12.4
WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15
Answer:
What is the inverse of f(x)=−3x+5 ?
f ^−1(x)=−3x+5
f ^−1(x)=1/3x−53
f ^−1(x)=−1/3x+53
f ^−1(x)=3x−5
Second question
What is the inverse of the function?
g(x)=−4/3x+2
g−1(x)=4/3x−2
g−1(x)=−4/3x−2
g−1(x)=−3/4x+32
g−1(x)=3/4x+23
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.
2 weeks = 14 day
14 * 15 = 210 seconds
210/60=3 hours and 30 minutes or 3.5 hours.
Simplify 10 over 13
Answer:
10/13
Step-by-step explanation:
It's already simplified luv
Denise is going on a road trip with some friends. For the first leg of their trip, they drive on the highway for 2.5 hours before taking an exit. If they maintain a steady pace of 64 miles per hour, how far do they drive on the highway?
Answer:
160
Step-by-step explanation:
We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]
Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]
Calculate the product or quotient: [tex]160[/tex]
Answer: [tex]160[/tex]
Which situation can be represented by the expression -2-5−2−5minus, 2, minus, 5?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The temperature was 222 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has decreased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
(Choice B)
B
The temperature was -2−2minus, 2 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has increased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
(Choice C)
C
The temperature was -2−2minus, 2 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has decreased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
Answer:
the correct answer is C hope this helps
Step-by-step explanation:
4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year
a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?
Calculate the difference and enter it below. -9-(-10) Answer here
Answer:
-9-(-10)
=-9+10
=1