Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A: [tex]y=x-4[/tex]
Line B: [tex]y=3x+4[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
[tex]y=3x+4[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]x-4=3x+4[/tex]
[tex]-4-4=3x-x[/tex]
[tex]-8=2x[/tex]
Divide both sides by 2.
[tex]-4=x[/tex]
Substituting [tex]x=-4[/tex] in (i), we get
[tex]y=-4-4[/tex]
[tex]y=-8[/tex]
The solution of system of equations is (-4,-8).
Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.
[tex]-8=-4-4[/tex]
[tex]-8=-8[/tex]
This statement is true.
Similarly,
[tex]-8=3(-4)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
find the volume of the rectangle
Answer:
3/16
Step-by-step explanation:
simply multiply all 3 numbers
Solve the system by substitution.
y = 7x– 45
Y = 2x
Answer:
(x,y)=(9,18)
Step-by-step explanation:
What is the approximate circumference of a circle that has a diameter of 15 inches? A) 14 ft
B) 21.98 ft
C) 28 ft
D) 7 ft
Answer:
47 ft
Step-by-step explanation:
3.14 x 15
please help due tmr!!!
Answer:
y 4 4x + 2
y< 6 x+3
Step-by-step explanation:
What is the ratio of people who prefer pistachio to the people who prefer vanilla?
- 3/2
- 2/3
- 4/5
- 5/4
Answer:
3/2
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
people who like pistachio = 24
people who like vanilla = 36
ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36
=2/3
Siti bakes 55 vanilla cakes and 39 strawberry cakes. A box can hold 6 cakes. What is the smallest number of boxes needed to hold all the cakes?
Answer:
16
Step-by-step explanation:
total number of cakes baked=55+39=94 cakes
1 box can hold 6 cakes
let the number of box need to hold 94 cakes be x
:- 1 = 6 cakes
x = 94 cakes
cross multiply to get :
6x=94
divide both side by the coefficient of x i.e 6
6x/6=94/6
x= 15.7
because it a real object, the minimum nuber of boxes is 16
Find the midpoint of the segment
(-3,-1)
(-2,0)
(-2,-1)
(-3,0)
What is the distance between the points (8, 12) and (1,3)? If necessary, round
your answer to two decimal places.
Answer:
13.03 units
using distance formula which is
root under
(X\/2-X\/1)^2 + (y\/2-y\/1)^2
Is Is y=2x+7 proportional?
Answer:
no
Step-by-step explanation:
Proportional must go through (0,0)
0 = 2(0) +7
0 = 7
This is not true so this is not proportional
Please help, I need it due today and urgently! Please give a small explanation and an answer
Answer:
0=0 1=1 6<8
Since 6 < 8 0.16 < 0.18
so, the hummingbird weighs more than a nickel
Step-by-step explanation:
6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi
Answer:
450in^2
Step-by-step explanation:
square root of 900 is 30.
Each side of square is 30.
Each side of a triangle formed by drawing a radi in the square is 15 in.
The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.
A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2
how mamy times can you subtract 10 from a hundred?
You can substract 10 from 100 ten times :)
Answer:
10
Step-by-step explanation:
100 - 10 = 90 ( 1 )
90 - 10 = 80 ( 2 )
80 - 10 = 70 ( 3 )
70 - 10 = 60 ( 4 )
60 - 10 = 50 ( 5 )
50 - 10 = 40 ( 6 )
40 - 10 = 30 ( 7 )
30 - 10 = 20 ( 8 )
20 - 10 = 10 ( 9 )
10 - 10 = 0 ( 10 )
we subtract 10 from 100 10 times
5 - 2x^2 = -15 solve the question using inverse operations
Answer:
x= √10 and x= -√10
Step-by-step explanation:
first look to isolate the term with the variable on one side
-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)
-2x² = -20; divide both sides by -2 (inverse of multiplication)
x² = 10; square root both sides (the inverse of raising to power of 2)
√x² =√10
x =±√10
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
How many wax warmers will she make when she makes 77 candles
A.75
B.55
C.40
D.69
the difference between two number is 5. when the larger number is multiplied by 2, the sum of both the numbers is 7. Hence, represent graphically the simultaneous linear equations in two variables and state the type of solutions.
Step-by-step explanation:
let the larger number = a,
and the smaller one = b.
a - b = 5 ==> a = b+5
2a + b = 7
2(b+5) +b=7
2b+10+b=7
3b= 7-10
3b = -3
b = -1
a = -1+5 = 4
A real estate agent earns about a 6% commission on each house sold. How
much commission would an agent earn on a house that sold for $125,000?
Answer:
132'500
Step-by-step explanation:
It is like doing tax, you just needed to multiply your number by 0.6
Answer:
$ 7,500
Step-by-step explanation:
commission=6%
House price= $125,000
Commission=6/100 ×125,000
Commission= $ 7,500
pls solve quickly !!
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
What is the value of this expression when g=-3.5?
8-12g-5
Answer:
45
Step-by-step explanation:
8-12(-3.5)-5
8+42-5
=45
A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it
Answer:
A = 4a² - 4ab + b²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ) , so
A = (2a - b)² ← expand using FOIL
= (2a)² - 2ab - 2ab + (- b)²
= 4a² - 4ab + b²
A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. 1. What transformations were applied to the building at site A to relocate the building to site B? 2. Did the mayor change the size or orientation of the library?
Answer:
you have to connect an image or provide further information
Step-by-step explanation:
Find the sine ,cosine and tangent ratios of
Step-by-step explanation:
Given that,
Hypotenuse, H = 13
Base, b = 12
Perpendicular, P = 5
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]
[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]
and
[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]
Hence, this is the required solution.
Determine the solution, if any, to the system of equations below. 8. 2y = 1 - 4x + y = 3 Show your work or explain how you got your answer.
Answer:
y=1/2 , x= -5/8
Step-by-step explanation:
⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]
PLSSS ASAP 20 POINTS AND BRAINLIEST IF RIGHT!!!!!!
The graph of g is a translation 3 units down of the graph of f(x) = x2 + 1. What is the range of g?
A. all real numbers
B. g(x) ≥ −3
C. g(x) ≥ −2
D. g(x) ≥ −1
Answer:
All real number
Step-by-step explanation:
Is this ok
Answer:
C
Step-by-step explanation:
To translate something 3 units down subtract it by 3
which means our equation is
x²-2
From here it's pretty easy to see that the answer must be C
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
help me please as soon as possible. I will mark you as the brainliest
1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
find the midpoint of the line segment with end coordinates of (2,1) and (4,5)
Answer:
(3,3)
Step-by-step explanation: