Answers
Answer:
Option D
Step-by-step explanation:
If (1, 6) is the only solution of the system of equations and one of system of equations is,
y = 2x + 4
Then solution of the system will satisfy both the equations.
Option A
y = 4x - 7
By satisfying this equation by (1, 6),
6 = 4(1) - 7
6 = -3
False.
Therefore, given equation is not the answer.
Option B
y = 2x + 8
By satisfying this equation by (1, 6),
6 = 2(1) + 8
6 = 10
False.
Therefore, given equation is not the answer.
Option C
y = -2(x + 2)
By satisfying this equation by (1, 6),
6 = -2(1 + 2)
6 = -6
False.
Therefore, given equation is not the answer.
Option D
y = 5x + 1
By satisfying this equation by (1, 6),
6 = 5(1) + 1
6 = 6
True.
Therefore, this is one of the equations of the system of equations.
Option D is the answer.
Related Questions
Which multiplication equation can be used to solve 1/6 ÷ 5?
Answers
Answer:
1/6 x 1/5 = multiplication equation
For spirit week, a high school club is making wristbands from paper. The wrist bands are designed to have a height of 1.8 centimeters and a maximum diameter of 7.5 centimeters. How many Square centimeters of paper are required to make each wristband?
Answers
Answer:
Step-by-step explanation:
33
43.0 square centimeters of paper are required to make each wristband.
What is area of curved surface?The curved surface of a cylinder is equal to a rectangle whose length is
2[tex]\pi[/tex]r and whose width is h.
The area of the curved surface = [tex]\pi dh[/tex].
Given
Height of wrist band = 1.8 cm
Diameter of wrist band =7.5 cm
Wrist band is a cylinder
Area of curved surface
S = [tex]\pi dh[/tex]
= 3.14 × 7.5 × 1.8
= 42.9552 ≅ 43.0 [tex]cm^{2}[/tex]
Hence, 43.0 square centimeters of paper are required to make each wristband.
Learn more about area of curved surface here
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A rectangle has a length of 3x^2y^3 inches and width of 4x^2y^3 inches . which expression represents the perimeter in inches of rectangle?
Answers
Answer:
44x²y³
Step-by-step explanation:
don't see options for answers but the perimeter would be:
2(3x²y³) + 2(4x²·2y³)
= 6x²·2y³ + 8x²·4y³
= 12x²y³ + 32x²y³
= 44x²y³
factor - 3y(2y + 3) - 5(2y + 3)
Answers
Answer:
-(2y+3)×(3y+5)
Step-by-step explanation:
- 3y(2y + 3) - 5(2y + 3)
Factor out - (2y+3)
-(2y+3)×(3y+5)
What is the value of x if 4x - 2 < 26?
Answers
Answer:
4x<28
x<7
x;(-infinite,7)
Someone please help me thank you
Answers
Answer:
Inequality Notation: x≥-4
Step-by-step explanation:
An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than.
Solve 5x+2≥−18.
Subtract 2 from both sides.
5x+2−2≥−18−2
5x≥−20
Divide both sides by 5.
[tex]\frac{5x}{5}[/tex]
x≥-4
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs
Answers
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]
Input values above into equation
confidence interval = ( -0.38 , 0.08 )
If you bike 8 miles south and then 6 mlles east, what is the distance you are from your starting point?
Answers
Answer:
14 miles
Step-by-step explanation:
because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.
Total distance = 8 + 6 = 14 miles
A team of students is designing a new game to help their class review for a science test. They will make a rolling cube with a side length of 7 cm as part of the game.
A cube has side lengths of 7 centimeters.
How much material will they need to make the rolling cube?
49 square cm
138 square cm
294 square cm
307 square cm
Answers
Answer:
C (294)Step-by-step explanation:
Took the test :)
can someone please help me with this ?? im really confused but i need to pass this test!
In the circle above, the measure of angle DHG can be represented by 7x - 7, and the measure of arc DG can be represented by 9x + 21. The measure of arc DG is ___ degrees.
Answers
Answer:
[tex]84^{\circ}[/tex]
Step-by-step explanation:
The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:
[tex]2(7x-7)=9x+21[/tex]
Solving, we get:
[tex]2(7x-7)=9x+21,\\14x-14=9x+21,\\5x=35,\\x=7[/tex]
Plugging in [tex]x=7[/tex] into [tex]9x+21[/tex]:
[tex]\widehat{DG}=9(7)+21,\\\widehat{DG}=63+21,\\\widehat{DG}=\boxed{84^{\circ}}[/tex]
Answer:
-31
Step-by-step explanation:
Let a be a nonzero rational number. Is rational or irrational? Prove your answer by picking a value for a and simplifying
the expression. Then explain your reasoning.
Answers
Answer:
there is no expression to answer this based off of
Step-by-step explanation:
we can't answer an incomplete question sorry try again and maybe then
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answers
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
Which two-dimensional shape could be created by
a plane slicing horizontally through this pyramid?
Answers
Answer:
It’s a triangle.
If the triangular pyramid is sliced in any direction then the two-dimensional shape will be triangular. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The triangular pyramid is shown.
If a plane slice horizontally through this pyramid then the two-dimensional shape could be created will be
If the triangular pyramid is sliced in any direction. The obtain two-dimensional shape will be triangular.
More about the geometry link is given below.
https://brainly.com/question/7558603
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helppppppppp meeeeeeeeeeeee
hurry
Answers
Answer:
9 feet im pretty sure
Step-by-step explanation:
Answer:
yolo
Step-by-step explanation:
i need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
Answers
Answers:
a) x = 9b) arc JK = 68c) arc MJ = 112d) arc LMK = 248================================
Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Please help will mark brainliest
Answers
Answer:
c
Step-by-step explanation:
The vertices of a figure are given. Rotate the fig
of the image.
A(2,-2), B(4, -1), C(4, -3), D(2,-4)
90° counterclockwise about the origin
Whats the coordinates
Answers
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
A (2, - 2 ) → A' (2, 2 )
B (4, - 1 ) → B' (1, 4 )
C (4, - 3 ) → C' (3, 4 )
D (2, - 4 ) → D' (4, 2 )
70 brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111
Answers
Answer:
nice job man
Step-by-step explanation:
keep it up man
Help please!!
Define the following sequence recursively
11,33,55,77
Answers
Answer:
Step-by-step explanation:
Recursive sequences generally look like this:
a1 = something
an= ahhhhhh
The 1st term in this sequence is 11.
So we have
a1=11
And now we see that each term is adding by 22.
We have,
a1=11
[tex]a_{n} =a_{n-1}+22[/tex]
The purpose of life insurance is to protect your car in case of an accident. O True. False.
Answers
Answer:
false
Step-by-step explanation:
The statement given is false information.
What is insurance?Insurance that pays out a sum of money either on the death of the insured person or after a set period.
Given is a statement about life insurance,
The main purpose of a life insurance, is to provide the financial help to the survivors family not to secure against an accident.
Hence, The given statement is false.
For more references on life insurance, click;
https://brainly.com/question/1400638
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Find the y-intercept of the parabola y = x2 + 6x.
Can somebody help?
Answers
Given:
The equation of the parabola is:
[tex]y=x^2+6x[/tex]
To find:
The y-intercept of the parabola.
Solution:
We have,
[tex]y=x^2+6x[/tex]
Putting [tex]x=0[/tex] in the given equation, we get
[tex]y=(0)^2+6(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).
calculate the area of his garden from the picture below pls help
Answers
Answer:
Hello! answer: 105.5
Hope that helps!
75 + 18 + 12.5 = 105.5
En una fábrica se empaquetan paletas en cajas, en cada caja caben
3,678 paletas, si se empacaron 56 cajas. ¿Cuántas paletas se
empacaron en total?
Answers
Answer:
205,968
Step-by-step explanation:
Si hay 3678 palets por caja, entonces multiplicamos 3678 por 56. 3678 por 56= 205.968. Por cierto, eres la primera persona a la que ayudé en español.
Write an
expression to represent the following:
The product of six and a number x.
Answers
Answer: 6(x) or 6 x 2(x)
Step-by-step explanation:
The product of 6 and a number x is equal to 6x.
help please!????????????????????????????
Answers
Answer:
c
Step-by-step explanation:
im 99% sure this is the answer
Aaron plans to buy new flooring for his office. His office floor is a rectangle that is 7.9 meters by 6.2 meters
Answers
what is √7? Select all that apply.
a. Natural
b. Whole
c. Integer
Answers
can someone please help me with this?? im trying to correct answers and i need help
Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.
Answers
Answer:
90° is correct answer. :)
please help with this question! will give thanks!!!
Answers
Answer:
I believe that the answer is 40 degrees.
Step-by-step explanation:
A central angles' measurement is the same measure of the intercepted arc
What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?
Answers
Answer:
(-√3/2., -1/2)
Step-by-step explanation:
This is a reflection in the line y = -x.
So x = 1/2 becomes y = -1/2
and y = √3/2 becomes x = -√3/2.
