The correct option is A. (4, 11) and (0, 7).
The solution of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points: (4, 11) and (0, 7).
What is the system of linear equation?Estimate the y-intercept, slope, and express the equation in the form of the y-intercept (y = mx + b) to find the graphed equation. The slope is the difference between the y- and x-axis values.
A graph equation is an equation in graph theory where the unknown is a graph. Isomorphic ideas are one of the key issues in graph theory.
The equations are; y = x + 7 and y = x² - 3x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0,
y = 0 + 7 = 7
Therefore, the solution for the equations y = x + 7 and y = x² - 3x + 7 are are located at points: (4, 11) and (0, 7).
To know more about system of linear equations, here
https://brainly.com/question/14323743
#SPJ4
The complete question is-
Based on the graphs of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points:
A. (4, 11) and (0, 7)
B. (4, 11) and (–7, 0)
C. (–7, 0) and (1.5, 4.75)
D. (1.5, 4.75) and (0, 7)
Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes. When the train continues its journey, the engineer increases its average speed by 15 mph so that the train will arrive at station B on schedule. Find the average speed of the train before it stopped for 16 minutes.
Answer:
60
Step-by-step explanation:
60
The average speed of the train was 80mph.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, Given that, Station A and Station B are 120 miles apart.
And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.
Let, its average speed was x mph.
Then, Total time if didn't stop = 120/x h
Now, before stop it took time =( 1/3×120)/x h =40/x h
After stop it took time = 80/(x+15) h
i.e. 40/x +16/60+ 80/(x+15) = 120/x
⇒80/(x+15)+8/30= 80/x
⇒80(1/x-1/(x+15))=8/30
⇒10×(15/x^2+15x)=1/30
⇒x^2+15x=10×15×30
⇒x^2+15x-450=0
⇒x^2+75x-60x-450=0
⇒(x+75)(x-60)=0
⇒x=60 or, x= -75
Hence. the required speed was 60mph.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
HELPPPPPPPPPPPP[PPPPPP
Answer:
26mm
Step-by-step explanation:
w+10 + w+ 20 = 144/3
3w+30 = 48
3w = 18
w=6
longest side is 6+20 = 26
Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the market by describing as many of its specific characteristics.
(Have fun and be creative, but most importantly, be accurate to avoid bad reviews)
Here is your Polynomial: f(x)=x^3-10x^2+28x-24
Step-by-step explanation:
A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.
A polynomial in a single indeterminate x can always be written (or rewritten) in the form
{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},
where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.
This can be expressed more concisely by using summation notation:
{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}
That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer
An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at a rate of 8 liters per minute. How long will it take to fill up the tank? (1 liter = 1000 cm3)
Answer:
21 min
Step-by-step explanation:
V = lwh
V = 60(50)(56) = 168000 cu. cm
8 liters = 8000 cu cm
168000/8000 = 21 min.
can someone please help me and if you could explain your answer so I can try to do the others on my own that be awesome :)
Answer:
Step-by-step explanation:
its 6
The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?
Answer:
just put the words into math:
x+y=15
4x = 2y-60
Now just solve the system for y.
cuánto es 30+30 me lo dices
Answer:
60
Step-by-step explanation:
3+3 es 6, después ponele el 0 al final
Ms. Potts washed 1/4 of her laundry. Her son washed 3/7 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Son washed moreRemaining 9/28 of the laundryStep-by-step explanation:
Make denominators common to see the difference in fractions:
1/4 = 7/283/7 = 12/28Son washed more laundry as 12/28 > 7/28
Together they washed:
7/28 + 12/28 = 19/28 of the laundryRemaining part is:
1 - 19/28 = 28/28 - 19/28 =9/28 of the laundryStep-by-step explanation:
9/28 is your answer......
Ms. Ponse drove 200 miles in 4 hours. At that rate how long will it take Ms. Ponse to drive 340 miles?
PLEASE HELP FOR POSSIBLE BRAINLIEST!
Answer:
6.8 hours.
Step-by-step explanation:
200/4 = 50
340/50 = 6.8
Kevin received 1105 marbles. Kevin would like to give each of his friends some marbles. If Kevin has 12 friends, how many marbles would each person, including Kevin, receive?
Answer:
85 for each person including kevin
Shota tried to subtract two polynomials. His work is shown below: \begin{aligned} &\phantom{=}(12a^2+3ab+4b^2)-(7a^2-5ab+b^2) \\\\ &=12a^2+3ab+4b^2-7a^2+5ab-b^2&\text{Step }1 \\\\ &=(12+3)a^3+(3+4)b^3+(-7+5)a^3+(5-1)b^3&\text{Step }2 \\\\ &=15a^3+7b^3-2a^3+4b^3&\text{Step }3 \end{aligned} =(12a 2 +3ab+4b 2 )−(7a 2 −5ab+b 2 ) =12a 2 +3ab+4b 2 −7a 2 +5ab−b 2 =(12+3)a 3 +(3+4)b 3 +(−7+5)a 3 +(5−1)b 3 =15a 3 +7b 3 −2a 3 +4b 3 Step 1 Step 2 Step 3
Answer:
what-
in the world
Step-by-step explanation:
Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1, -8) on a standard (x, y) coordinate plane?
Answer:
x = 4Step-by-step explanation:
The line with points (1,2) and (-1,-8). Work out its equation.
y = mx + bThe slope is:
m = (-8 - 2)/(-1 - 1) = -10/-2 = 5To find the y intercept, substitute x and y-xoordinates of point (1,2):
2 = 5(1) + b b = 2 - 5b = -3The line is:
y = 5x - 3Point (x, 17), substitute y-coordinate and solve for x
17 = 5x - 35x = 17 + 35x = 20x = 20/5x = 4Choose the correct description of the graph of the compound
inequality (1 point)
x -3 <-11 or x + 5 2 14,
• A number line with a closed circle on 8, shading to the left, and
an open circle on 9, shading to the right
A number line with an open circle on
8, a closed circle on 9, and
shading in between
O A number line with an open circle on -8, shading to the left, and
a closed circle on 9, shading to the right
A number line with a closed circle on -8, an open circle on 9, and
shading in between
Answer:
A number line with a closed circle on -8, an open circle on 9, and shading in between
Peter and Myra are on their school's activity planning committee. They are polling each
homeroom class to find how many students are in after-school clubs. In Peter's class, 9 out of
the 20 students are in clubs. In Myra's class, 12 out of the 24 students are in clubs. Do the
two classes have the same ratio of students in clubs to total students?
yes
No
Answer: No
Step-by-step explanation: because 12 out of 24 is 1/2 while 9/20 is a bit off of one half therefore no
what number makes this equation true?
7 x ? = 8 3/4
Answer:
1 1/4 or 1.25
Step-by-step explanation:
7 x ? = 8 3/4
(8 3/4) / 7 = 1 1/4
A Train crosses a bridge 100 m in 45 sec at a speed of 60 km/h find a time taken by the train to cross a clock tower
Ans is 351/8.
hope it is helpful
The town's poplation in the year 2020 was 1,500 people,
The population has been increasing 3% each year.
What will the population be in the year 2025?
Answer:
1739
Step-by-step explanation:
(1+growth)^years
so
(1+.03)^5=1.159...
Multiply by 1500 = 1738.9.......
Rectangle A has a length of 6 and width of 4. Rectangle A prime has a length of 9 and width of 6. Find the scale factor of the dilation shown. 1/2 3/2 2 2/3
Answer: The scale factor of the dilation [tex]=\dfrac32[/tex]
Step-by-step explanation:
[tex]\text{Scale factor}=\dfrac{\text{Side in image}}{\text{Corresponding side in preimage}}[/tex]
Given: Rectangle A has a length of 6 and width of 4.
Rectangle A prime has a length of 9 and width of 6.
Scale factor = [tex]\dfrac{9}{6}\ \ \ or \ \ \dfrac{6}{4}[/tex]
[tex]=\dfrac32[/tex]
Hence, the scale factor of the dilation [tex]=\dfrac32[/tex]
Answer:
3/2
Step-by-step explanation:
a. a triangle with one right angle and two congruent sides
Answer:
is an isosceles right triangle, angles 45, 45, & 90 degrees
Step-by-step explanation:
Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )
Answer:
B) 2,340
Step-by-step explanation:
Solve the equation: 2(d-3)+2=14 d=
Answer:
Hello! :) have a good day!
D=9
Answer: d = -1/3
Step-by-step explanation:
if the ratio of the length to perimeter is 5:16 what is the area of the rectangle
What's the negative reciprocal of –7
Answer:
0.14285714285
Step-by-step explanation:
This is what I got from the calculator.
Answer:
1/7 (1 over 7)
Step-by-step explanation:
The negative reciprocal of –7 is 1/7 (1 over 7)
If you help me with this you get brainlisted (:
tbh I'm just lazy to do this lol-
Answer: point form
1. (6,24)
2.(-4,-12)
3.(3,15)
4. (-5,-20)
5. (2,4)
6.(-1,-4)
7.(-3,-9)
8.(-4,-8)
9.(3,9)
10.(-6,-30)
Step-by-step explanation:
Answer:
nice pfp and the anwser is under this sorry i dont know the y-4,7-3x,ect ones
Step-by-step explanation:
1.y=18
2.y=8
y=12
y=4 x=4
7=3
The radius of a circle is 12 in. Find its circumference in terms of T.
Answer:
T = 22/7*2*12
do the calculation by yourself
Answer:
75.4
Step-by-step explanation:
To get the circumference you have to multiply the diameter with pi.The radius is 12 and the diameter is the radius times 2 making the diameter 24. multiple 24 by pi and you'll get the circumference which is 75.39 which will be 75.4 when rounded
20 POINTS AND BRAINLIEST ONLY FOR CORRECT ANSWER
Given square ABCD. Two isosceles triangles ABP and BCQ are constructed with bases AB and BC . Each of these triangles has vertex angle of 80°. Point P lies in the interior of the square, while point Q lies outside of the square. Find the angle measure between PQ and BC
9514 1404 393
Answer:
85°
Step-by-step explanation:
Each of the isosceles triangles PAB and QBC has interior base angles of ...
(180° -80°)/2 = 50°
Then angle PBC is 90° -50° = 40°.
Segments PB and QB are the same length, so triangle PBQ is an isosceles right triangle. This means angle BPQ is 45°. Angle QEB is the sum of the remote interior angles of ∆BEP, so is 45° +40° = 85°.
The acute angle between PQ and BC is 85°.
What is the slope of the line that connects the points (0.5, 4.5) and (1.5, 2.5)?
Answer:
Slope is -2
Step-by-step explanation:
what is the main difference when finding an inverse and solving a square root equation?
help i’ll give extra points
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
not a function
deefinition of function exactly one output for a input.
if you like my answer please mark as brainliest.
Graph the image of rectangle STUV after a reflection over the line y= –x
Answer:
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Step-by-step explanation:
The image of the rectangle STUV after a reflection over the line y= –x is attached below.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)
We have to graph the image of the rectangle STUV after a reflection over the line y= –x
The points obtained after graphing ate,
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2