Interpreting the situation, we have that:
a) The system of equations is:
[tex]y = 2x - 7[/tex]
[tex]y = 6 + x[/tex]
b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.
Item a:
In our system, we have that:
Jacob's score is of x.Paul's score is of y.Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:
[tex]y + 7 = 2x[/tex]
[tex]y = 2x - 7[/tex]
Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:
[tex]y = 6 + x[/tex]
Item b:
Equaling both equations:
[tex]2x - 7 = 6 + x[/tex]
[tex]x = 13[/tex]
[tex]y = 6 + x = 6 + 13 = 19[/tex]
Jacob scored 13 and Paul scored 19.
A similar problem is given at https://brainly.com/question/24104709
Write an algebraic expression for: the quantity 2 plus 88y divided by 47
PLEASE HELP
A. identify the vertex
B. Identify the intercept
C. Write the equation of the graph above
D. Fill in the end behavior:
As x , y ____
As x 3, y ____
E. Identify the domain and range:
We want to identify different things on the given graph.
The solutions are:
A) (3, -1)
B) x = 4
C) x = y^2 + 2y + 4
D) x ⇒ ∞, y ⇒ ∞
x⇒3, y⇒ -1
A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)
B) This is the point where the graph intercepts the x-axis, x = 4.
C) we want to write the equation, we start with the general parabola, this time as a function of y:
x = a*y^2 + b*y + c
Remember that the x-itercept is at x = 4. then c = 4.
x = a*y^2 + b*y + 4
The y-value of the vertex is -1, while the general y-value of the vertex is:
y = -b/2a = -1
And evaluating the equation in this value, gives us:
x = a*(-1)^2 + b*-1 + 4 = 3
Then we have two equations:
-b/2a = -1
a + -b + 4 = 3
We can rewrite the first one as:
-b = -2a
b = 2a
Now we can replace this on the other equation:
a - 2a + 4 =3
-a + 4 = 3
-a = 3 - 4 = -1
a = 1
And b = 2a = 2*1 = 2
Then the equation of the parabola is:
x = y^2 + 2y + 4
D) We can see that as x grows, y increases, so we can say that:
x ⇒ ∞, y ⇒ ∞
And for the other limit we can see that as x tends to 3, y tends to -1, then:
x⇒3, y⇒ -1
If you want to learn more, you can read:
https://brainly.com/question/21685473
Can someone help in this math question?
Answer:
3168 cubic feet OR 3168ft^3
Step-by-step explanation:
22×18×8=3168ft^3
IT"S STARRR DAYY
FOR ME :(
Step-by-step explanation:
45÷11= 4 R 1
between 4 and 5
4 1/11
4 1/11
May I please receive help?
Can you please put a more bigger picture?
I’ll give brainliest if correct
Function A is represented by the equation y = 3x + 4.
Function B is a linear function that goes through the points shown in the table
A. The rate of change of function A is 3.The rate of change of function B is 10
B. The rate of change of function A is 3. The rate of change of function B is
C. The rate of change of function A is 4.The rate of change of function B is 10.
D. The rate of change of function A is 4. The rate of change of function B is 5.
Answer:
a
Step-by-step explanation:
Max is conducting a study on the most used phone applications among a group of 500 students at Fairmont High School. 150 students reported using Snapshot most, while 200 students reported favoring Instapic. The rest of the students reported using Photobooth. What is the ratio of the number of students using Photobooth to those students using Instapic?
Answer:200:150
Step-by-step explanation:
Answer: 3:4
Step-by-step explanation:
Choice B is the correct answer. The number of students using Photobooth is equal to
500 - (150+200) = 150
people. To find the ratio of students using Photobooth to those using Instapic:
150/200 = 3/4
This fraction can be converted to a ratio, of 3:4
Read the questions and choose the best answer.
find the missing side lengths. leave your answers as radicals in simplest form.
u=?
v=?
WILL MARK BRAINLIEST ANSWER
Answer:
v = 1
u = 2
Step-by-step explanation:
Given is a special right triangle with angle measures as follows:
90-60-30
The side lengths would be :
2x- x[tex]\sqrt{3}[/tex]-x
in the image it shows that the second side length (the one that sees angle measure 60) is [tex]\sqrt{3}[/tex] from this we can conclude x = 1 so:
v = 1 and
u = 2
HELP PLEASE!!!!
The 10 largest soccer and football stadiums have a capacity of at least of 1 x 105 people. Each stadium has 8 events each year for 10 years.
How many total people attended these events if every event was seated to capacity? Select ALL that apply
A
at least 80,000,000 people
B
at least 800,000,000 people
С
at least 0.8 x 107 people
D
at least 8 x 107
people
E
at least 80 x 107 people
Help
Ill mark u as brainlest if ur answer is clear
Thank you
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
To solve this question you need to know some properties of a parallelogram which is the shape given.
Firstly, remember that in a parallelogram opposite angles are equal.
Secondly, remember that the diagonals of a parallelogram bisect each other.
Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.
So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.
Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].
Let's name [tex]<[/tex]SPQ, [tex]y[/tex].
and That gives:
[tex]2y+140=360[/tex]
Subtract 140 from both sides:
[tex]2y=360-140[/tex]
[tex]2y=220[/tex]
[tex]y=\frac{220}{2}[/tex]
[tex]y=110[/tex]
So, [tex]<[/tex]SPQ=110 and
Now using the second property we can find that:
[tex]<[/tex]SPQ=[tex]2x[/tex]
And [tex]2x=110[/tex]
[tex]x=\frac{110}{2}[/tex]
[tex]x=55[/tex]
Hope this helped.
can someone answer this?
Answer:
324 ft²
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b , then
ratio of areas = a² : b²
Here ratio of sides = 3 : 18 = 1 : 6
ratio of areas = 1² : 6² = 1 : 36
That is the area of the larger parallelogram is 36 times the smaller
area of larger parallelogram = 36 × 9 = 324 ft²
Triangle EFG is congruent to triangle JKL.
What is KL, in units?
Applying the theorem of congruent triangles, since FG = 6 units and FG and KL are congruent, therefore:
KL = 6 units
Recall:
Congruent triangles have the same shape and size.Congruent triangles have all corresponding angles and side lengths congruent to each other.Given that:
[tex]\triangle EFG \cong \triangle JKL[/tex],
therefore,EF = JK
FG = KL, and
EG = JL
Thus, since FG = 6 units and FG and KL are congruent, therefore:
KL = 6 units
Learn more here:
https://brainly.com/question/9795907
Kevin earns 2.4% interest each year on the money in his savings account. He kept $157.00 in his savings account for an entire year. How much money did Kevin earn in interest?
Answer:
That is the solution
Step-by-step explanation:
157,00.102,4%=
..........
..........
160,768
Question 15 of 25
Solve the formula V = s2h for s.
O A. s = 1V - h
B. s=
V
C. s =
11 부
O D. s= Vh
Answer:
s = [tex]\sqrt{V/h}[/tex]
Step-by-step explanation:
divide by 'h', then take square root of 's' to get:
s = [tex]\sqrt{V/h}[/tex]
(2x - 4)
what’s the value of x?
Answer:
x=2
Step-by-step explanation:
x= 4/2
x =2
9. Evaluate the following i) 22 x 0.05 iii) 2.06x3.1 v) 25 x 0.12 vii) 0.33 X 6.1
Answer:
i) 1.1
iii) 6.386
v) 3
vii) 2.013
Step-by-step explanation:
i) 22 times 0.05 = 1.1
iii) 2.06 times 3.1 = 6.386
v) 25 times 0.12 = 3
vii) 0.33 times 6.1 = 2.013
Kind requests:
Please give me brainliest :)
Can someone please help me with this??
———————————————
What is the length of the hypotenuse (c)?
4
Or
6
Answer:
6
Step-by-step explanation:
The hypotenuse is the side opposite the right angle.
The side opposite the right angle is 6 m long
0.13391963118/17(3.78)
Answer:
Simplify the expression.
0.02977742
Step-by-step explanation:
i think i hope its right
Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?
Answer:
0.333...
Step-by-step explanation:
3 out of 9 can be written as 3/9 which reduces to 1/3.
1/3 = 0.333...
State 4 solutions for the equation that is modeled by the graph.
Answer:
see explanation
Step-by-step explanation:
Any coordinate point that lies on the line is a solution , that is
(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )
Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=5
Answer:
0.25
Step-by-step explanation:
First, you distribute the equation.
2(2x+3)-2=5
4x+6-2=5
Then, you combine like terms.
4x+6-2=5
4x+4=5
Next, you subtract 4 from each side.
4x+4=5
4x+4-4=4x
5-4=1
4x=1
Finally, you divide each side by 4.
4x/4
1/4
(4x/4 you'd end up with x)
Answer: x=1/4
Given that h is directly proportional to I, copy and complete the table. h) 15 30 75 (l)36 72
Answer:
Answer:(h) =***************************
(l)=***************
Ron earned $95 in interest for leaving $1,000 in an account for 3 years. What was his rate? Round to the nearest hundredth (2 decimal places).
Answer:
x=0.0307
Step-by-step explanation:
I really need help on this
Answer:
OK so I don't know the answer but there is something called calculator soup and it has a million kinds of calculators lemme give u the link
Step-by-step explanation:
calculatorsoup.com
Find 39.2% of 448.Round to the nearest hundredth.
Answer:
175.62
Step-by-step explanation:
39.2•448=17561.6
17561.6/100=175.616
=175.62
According to her running log, Ariana averaged 4 miles per week last month and 75% less this month. How much did she average this month?
Answer:
She averaged 3 miles per week this month.
Step-by-step explanation:
You just take 75% of 4 and get 3.
Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.
Answer:
2^-2
Step-by-step explanation:
When multiplying indices or exponents with the same base number, you can add the powers:
2^4 x 2³ = 2^7 (4 + 3 = 7)
2^5 x 2^4 = 2^9 (5 + 4 = 9)
When dividing indices or exponents with the same base number, you can subtract the powers:
2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)
Several students form a circle by standing next to each other. Samantha and Aaron are directly across from each other and are approximately 30 feet apart. If each student takes about about 4 ft of the circle. How many students are in the circle?
pls help
Answer:
about 24 people in the circle
Step-by-step explanation:
find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students
A rational number will have a ________________ decimal when the denominator or the fraction, in its simplest form, is a factor of 10, 100, 1,000, etc.
Answer:
terminating decimal maybe :)
Step-by-step explanation:
Answer:
what goes in the blank space: repeating
Step-by-step explanation:
Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal.