Answer:
One solution at (-4, -22)
Step-by-step explanation:
5x - y = 2
y = 5x - 2 --(1)
2x - 0.5y = 3 --(2)
sub (1) into (2):
2x - 0.5(5x - 2) = 3
2x - 2.5x + 1 = 3
-0.5x = 2
x = -4
when x = -4, y = 5(-4) - 2 = -22
The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
5x - y = 2 .. (i)
2x - 0.5y = 3 .. (ii)
Now, We can simplify as;
From (i);
5x - y = 2
y = 5x - 2
Put above value in (ii);
2x - 0.5 (5x -2) = 3
2x - 2.5x + 1 = 3
- 0.5x = 2
x = - 4
From (i);
y = 5 × - 4 - 2
y = - 20 - 2
y = - 22
Thus, The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
What is the solution to the system of equations graphed below?
On a coordinate plane, 2 lines intersect at (2, - 3).
(2, - 3)
(- 3, 2)
(- 2, 3)
(3, 2)
Answer:
(2,-3)
Step-by-step explanation:
When they intersect it called a solution
Hope its right
Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.
Answer:
y = 0.75x
Step-by-step explanation:
Im not sure lmk
Add, subtract, multiply, or divide. Can someone help me please.
7: 8+（-4）=-2
8: -7+2=-5
9: -11-7=-18
10: 12÷（-6）=-2
11: -9×（-3）=27
12: 4-（-3）=7
13: -45÷9=-5
14: 6×（-3）=-18
2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.
Answer:
We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.
a) A student has English at 10:00.
Here we can use T = 10:00 as the input, and the output will be the class, English.
Then this can represent this with:
C(10:00) = English.
b) Write a statement to describe the meaning of C(11:15) = chemistry.
for C(11:15) = Chemistry
The input, the time, is 11:15
The output, the class, is chemistry.
The student has a chemistry class at 11:15
its the picture bbhjbhvuvhvguvuggyctct love you
Answer:
o
Step-by-step explanation:
Answer:
59.3sq ft
Step-by-step explanation:
What is the value of the expression - 13 x (-1.6)?
Answer:
20.8
Step-by-step explanation:
What is the slope and y-intercept of y=2x+3 and why?
Which of these graphs represents a function?
Answer:
Graph x
Step-by-step explanation:
Complete the work to solve for y:
What is the value for y?
Answer:
The value of y = 11/2
Step-by-step explanation:
As the work is completed up to the point
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Now completing the remaining work
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Dividing both sides by 2/5
[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]
[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex] ∵ [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]y=\frac{11}{2}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
Therefore, the value of y = 11/2
penny reads 10 pages in 1/2
hour. What is the unit rate for pages per hour? For hours per page?
Answer:
she would read 20 pages in 1 whole hour
Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:
a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)
b) What are the zeros of the polynomial? Show any work necessary in solving.
Answer:
(x+3)⋅(x−1)⋅(x−4)
Step-by-step explanation:
hope this helps
guys i need help. who is right in this problem???
Answer:
brianna is correct
Step-by-step explanation:
Answer:
Brianna is correct for Card number 2.
Step-by-step explanation:
If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2
Answer:
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304
The value of p is equal to 304 when q is equal to 2
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of q is 8
Replace the values and find out k
[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 2
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]
The value of p is equal to 304 when q is equal to 2
Learn more : brainly.com/question/16069814
Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)
Answer:
(4, -6)Step-by-step explanation:
The formula of a midpoint of the segment AB:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have A(7, -2) and B(1, -10). Substitute:
[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]
(this is english but more people are on math i think) what are two ways to introduce textual evidence??
[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]
PLEASE ANSWER NUMBER 2 3 AND 4 THANK YOU
Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:
A)
The incenter is equidistant from all three vertices of the triangle.
B)
The incenter is equidistant from all three sides of the triangle.
C)
The incenter is closest to the shortest side of the triangle.
D)
The incenter is closest to the longest side of the triangle.
9514 1404 393
Answer:
B) The incenter is equidistant from all three sides of the triangle.
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.
If you have seen the user GOGETA10 please let me know. He is important to me
Answer:
sure
Step-by-step explanation:
What is the sum of 6 and y
Answer:
6+y
Step-by-step explanation:
6+y is the ans as the question has asked to sum of them but it has not given any other clues
Answer:
i got 6y
Step-by-step explanation:
Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%
Answer:
8%
Step-by-step explanation:
2/25*100
=8%
helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz
Answer:
thr answer is 6(2n-3) this is rhe answer
Can somebody help with Grade7math ? It’s like about dividing integers...
Answer:
I would but I suck at math.
Step-by-step explanation:
I'll help you out with the giver later. lol
Find the value of y.
Answer:
y = -1
Step-by-step explanation:
It´s an equilateral triangle
then:
2y + 6 = 4
2y = 4 - 6
2y = -2
y = -2/2
y = -1
Check:
2*-1 + 6 = 4
-2 + 6 = 4
X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.
Answer:
The value of x is 12.
Step-by-step explanation:
Given that x is directly proportional to y so the expression will be x = k (³√y) where k is the constant. First, you have to find the value of k :
[tex]x = k \: (\sqrt[3]{y} )[/tex]
[tex]let \: x = 6,y = 8[/tex]
[tex]6 = k \: (\sqrt[3]{8} )[/tex]
[tex]6 = k(2)[/tex]
[tex]k = 3[/tex]
Next, you have to find the value of x, by substituting y = 64 into the expression :
[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]
[tex]x = 3( \sqrt[3]{64} )[/tex]
[tex]x = 3(4)[/tex]
[tex]x = 12[/tex]
Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable
Step 2: Write an equation.
Step 3: Solve your equation.
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee
Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
QUICK I REALLY NEED HELP
When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
How much times longer is Jupiter’s orbit than earth’s orbit?
Answer:
Jupiter's orbit is 5 times longer than earths
Step-by-step explanation:
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
WILL RECIEVE ANYTHING YOU WOULD LIKE
Answer:
107.6
Step-by-step explanation:
5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8
Answer: I am pretty sure it’s 87.08
Step-by-step explanation:
Find the value of x. *
Please help me.
Answer:
x=50
Step-by-step explanation
The two angles add up to 180, so 2x+4+76 = 180
2x+80=180
2x=100
x=50
i need help with this
Answer:
ok what here are u meant to do