Please help!!!! ive been trying to get help for almost 2 days and I have yet to get an actual answer :(. Please try to show some work if you can, thank youu
Answers
49. [tex]x = \dfrac{1}{a}[/tex] and [tex]y = 3[/tex]
50. [tex]x = \dfrac{1}{2a}[/tex] and [tex]y = \dfrac{1}{b}[/tex]
Step-by-step explanation:
We are going to solve these systems of equations using the elimination method.
49. Given:
[tex]5ax + 4y = 17[/tex] (1)
[tex]\:\:ax + 7y = 22[/tex] (2)
Multiply Eqn(1) by 7 and multiply Eqn(2) by -4 to get
[tex]\:\:35ax + 28y = 119[/tex]
[tex]-4ax - 28y = -88[/tex]
Adding the two equations above, we get
[tex]31ax = 31 \Rightarrow x = \dfrac{1}{a}[/tex]
Substituting this value for a into Eqn(2), we get
[tex]y = 3[/tex]
50. Given:
[tex]4ax + \:\:by = 3[/tex] (3)
[tex]6ax + 5by = 8[/tex] (4)
Multiplying Eqn(3) by -5, we get
[tex]-20ax - 5by = -15[/tex]
[tex]\:\:\:\:\:\:6ax + 5by = \:\:8[/tex]
Adding the two equations above, we get
[tex]-14ax = -7 \Rightarrow x = \dfrac{1}{2a}[/tex]
Plugging in the value of x into Eqn(3), we get the value for y as
[tex]4a(\frac{1}{2a}) + by = 3[/tex]
or
[tex]2 + by = 3 \Rightarrow y = \dfrac{1}{b}[/tex]
Related Questions
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.
Answers
2 weeks = 14 day
14 * 15 = 210 seconds
210/60=3 hours and 30 minutes or 3.5 hours.
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 ?
Answers
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.
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?
Answers
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
I have my final exam soon 29/11/2021 , thank you all who helped me in math :>
Answers
Answer:
okay
Step-by-step explanation:
Due Tomorrow: Answer question 18 using steps
Answers
[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]
What is the amplitude and period of the function shown below?
Answers
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
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.
Answers
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
Answers
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:
I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS
Answers
Answer:
Step-by-step explanation:
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?
Answers
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]
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answers
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15
Answers
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
What is the image of the point (1,-4) after a rotation of 180° counterclockwise
about the origin?
Answers
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°
100.00 decreased by 20%
Please help
Answers
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)
A freight train 22.5 miles per 60 miles to its destination how far from the destination will the train be in 2.5 hour
Answers
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.
Answers
Answer:
the correct answer is C hope this helps
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
Answers
[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
7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???
Answers
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.
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!
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?
Answers
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
2 x 7 x 5 x 2 x ____=48
Answers
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.
X to the third power equals 512
Answers
Answer:
8
Step-by-step explanation:
Simplify 10 over 13
Answers
Answer:
10/13
Step-by-step explanation:
It's already simplified luv
Find the distance between two points in the simplest radical form
Answers
Answer:
The answer will be 5.
Step-by-step explanation:
using the formula d=/(x2-x1)2 +(y2-y1)
Select the correct answer.
In the graph, what does A represent?
A.
foci
B.
minor axis
C.
major axis
D.
vertices
Answers
Answer:
B minor axis..................:)
What is the slope-intercept equation
for the following line?
y = [?]x+O
Answers
Answer:
the answer is Y=1x+1
i need help on this math problem
Answers
Answer:
I think the first one goes with the second one
Step-by-step explanation:
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
Answers
Step-by-step explanation:
I'm not sure if I'm using substitution method but I guess it's x = 12.4
0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?
Answers
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
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.
Answers
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.
What is the distance between the two points (-7, -7) and (4, -3)?
a. 5
C. 10.44
b. 7
d. 11.7
Please select the best answer from the choices provided
Answers
The exact form of the answer would be √
137
The decimal written out would be 11.70469991…