Answer:
x = 3 y y = 2
Step-by-step explanation:
a) Metodo de reduccion:
Para aplicar este metodo debemos multiplcar por 3 la ecuacion 2 y sumarlas.
[tex]4x-3y=6[/tex]
[tex]5x+y=17[/tex] *3
[tex]4x-3y=6[/tex]
[tex]15x+3y=51[/tex]
-------sumamos las ecuacioens--------
[tex]19x=57[/tex]
[tex]x=3[/tex]
Ahora, remplazamos x en la ecuacion 2.
[tex]5(3)+y=17[/tex]
[tex]y=2[/tex]
b) Igualacion
Debemos despejar x en ambas y luego igualarlas
[tex]x=\frac{6+3y}{4}[/tex]
[tex]x=\frac{17-y}{5}[/tex]
Igualando:
[tex]\frac{6+3y}{4}=\frac{17-y}{5}[/tex]
[tex]5(6+3y)=4(17-y)[/tex]
[tex]19y=8[/tex]
[tex]y=2[/tex]
Ahora, remplazamos y en la ecuacion 2.
[tex]5x+2=17[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
c) Sustitucion
Despejamos x de la primero ecuacion y lo remplazamos en dos.
[tex]x=\frac{6+3y}{4}[/tex]
[tex]5\frac{(6+3y)}{4}+y=17[/tex]
Multiplicamos por 4
[tex]5(6+3y)+4y=68[/tex]
[tex]30+15y+4y=68[/tex]
[tex]30+19y=68[/tex]
[tex]19y=38[/tex]
[tex]y=2[/tex]
Remplazando en 1.
[tex]4x-3(2)=6[/tex]
[tex]4x-6=6[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.
Answer:
y = - [tex]\frac{5}{2}[/tex] x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - [tex]\frac{5}{2}[/tex] x + 11 ← equation of line
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
what is angle G and H? please
Answer:
below
Step-by-step explanation:
that is the procedure above
Which system of linear inequalities is graphed?
Answer:
It is the first set of linear inequalities that is correct.
Step-by-step explanation:
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
What is the value of k?
Answer:
k = 2
Step-by-step explanation:
[tex]\frac{8}{4} =\frac{4}{k}[/tex]
8k = 16
k = 2
Four times a number less 7 is equal to 12 more than two times that number
Answer:
the number you're looking for is 9.5
Step-by-step explanation:
4x-7 = 12+2x
2x-7 = 12
2x = 19
x = 9.5
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
what inequalities are shown by this graph?
Answer:
the answer is going to be
x>27
Answer:
[tex]\sf{[27,\infty) }[/tex] is the inequality
A right triangle is shown below.
B
c
A
b
Which of the following equals sin A?
Answer:
B
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{c}[/tex] → B
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10
Answer:
Please find the graph in the attached file.
Step-by-step explanation:
[tex]\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\[/tex]
I need help finding the equation.
Answer:
[tex]y=2^{x}\ -3[/tex]
Step-by-step explanation:
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
What are the domain and range of the function represented by the set of ordered pairs?{(–17, 18), (–10, –15), (0, 0), (3, –1)}
Answer:
See below.
Step-by-step explanation:
Here's an easy way to remember: Domain and Range are in alphabetical order, x and y are in alphabetical order.
The domain is the set of all x coordinates (the first number in each pair).
The range is the set of all y coordinates (the second number in each pair).
Domain: {-17, -10, 0, 3}
Range: {18, -15, 0, -1}
the area of right angled triangle with its legs are 6cm and 8cm is equal to
Answer:
A = 24 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (6)*8
A = 24 cm^2
Help ASAP please and thank you
it x the first one that the cause it going the other way
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A.
x=4/13
B.
x=13/4
C.
x=21/4
D.
x=4/21
Answer:
C. x = 21/4Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
=> 5x + 2x - 3x = 10 + 7 + 4
=> 4x = 21
=> x = 21/4 (Ans)
Answer:
d. x = 4/21
Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
5x-11 = x+10
4x = 21
x = 4/21
hope it helps :)
please mark brainliest!
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
ASAP please help meeeeeeeeeeee
Answer:
-17/20
Step-by-step explanation:
Answer:
-17/20
Step-by-step explanation:
-1/4 equals -1/4 and +-3/5 equals -3/5
-1/4 -3/5 equals -5/20 -12/20
-17/20 is your answer
plzzz donttttt ignoreeeee
Step 1: Find the area of the whole circle
A = pi x r^2
A = pi x 12^2
A = 144pi units^2
Step 2: Use the given angle to find only a part of the area
---The whole circle is 360 degrees, we only want 45 degrees.
45/360 x 144pi
1.5pi
4.71 units^2
Hope this helps!
Answer:
E. None of these
Step-by-step explanation:
Sector Area = r² (α / 2)
R = 12
a (angle) = 45
12^2 = 144
45/2 = 22.5
144 x 22.5 = 3240
This is not one of the options therefore it is E. None of these
Pls let me know if incorrect
2x8-3^2+2? I know the answer but I don’t know how I got to it
Answer:
9 or 27
Step-by-step explanation:
2x8 -3 ^2 + 2
2x8 -9 + 2
16 - 9 + 2
= 9
or
2 x 8 - 3^2 + 2
2 x 8 + 9 + 2
16 + 9 + 2
= 27
Answer:
9 is the answer of your question
Step-by-step explanation:
2×8 -3²+216-9+218-99Hope it is helpful to you
On a map of South Asia, Nepal looks approximately like a rectangle
measuring 8.3 cm by 2.0 cm. The map scale is listed as 1:9,485,000. What is
the approximate real-world area of Nepal in square kilometers?
Answer:
VK for up ureueusidifdisodaaiwiwu
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
the question is in the picture
Answer:
Hello!
2pi R
2*3,14 *1 = 6,28
6,28/4 => 1,57
A cube of side length s sits inside a sphere of radius r so that the vertices of the cube sit on the sphere. Find the ratio r : s
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.