Answer:
x = 8 and y = 4
Step-by-step explanation:
Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.
Note: The systems used to solve this question and the answers for the values of x and y are bolded.
Answer:
Here is one of the equations 2x + y=16
Step-by-step explanation:
I apologize I couldn't find the other one.
Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.
to be honest i dont remember srry
Answer:
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293
determine the degree of the polynomial.
8a^3+7a+6
Answer:
The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.
:)
identify the constant term in this expression 28m + 4n - 12m +3 =
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
8+6(1/2 +5) divided by 2 plz i need help ill give u brainlyest (plz show how to do it as well)
Answer:
24.5
Step-by-step explanation:
8+6(1/2 +5) divided by 2
Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?
a)Deductive Reasoning
b)Inductive Reasoning
Answer:
a)Deductive
Step-by-step explanation:
When you apply rules (in this case theorems) it is a deductive reasoning
The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.
Which of the following expressions correctly describes Completing the Square?
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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what is the point slope equation of the line that passes through (9,-1) and has a slope of 5
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
y + 1 = 5(x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 5 and (a, b ) = (9, - 1 ) , then
y - (- 1) = 5(x - 9) , that is
y + 1 = 5(x - 9)
What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?
find the length of segment AB
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
Find the least common denominator between the two fractions 2/3 and 3/5
Answer:
15 is the least common denominator between the two fractions
The points (−4, −3) and (3, y) lie on the same line.
If the slope of the line is 2, what is the value of y?
PLEASE I HELP!!!!!!
Answer:
y= 11
Step-by-step explanation:
[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Substituting the coordinates and value of slope:
[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]
[tex] \frac{y + 3}{3 + 4} = 2[/tex]
[tex] \frac{y + 3}{7} = 2[/tex]
Multiply both sides by 7:
y +3= 2(7)
y +3= 14
Subtract 3 from both sides:
y= 14 -3
y= 11
Find the greatest common factor of 27 and 46
The greatest common factor of 27 and 46 is 1
(a) 35.8 + 10 need answer
1. find each measure
Answer:
x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28
Step-by-step explanation:
28 is the answerr
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:
Answer:
I hope this helps
Step-by-step explanation:
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
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2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: -3.5 F
Day 2: 5 F
Comparison of Day 1 and Day 2: __-3.5__ < __5___ or ___5__ > ___-3.5____
Comparison of days with absolute value: ____ < _____ or _____ > _______
WILL GIVE BRAINLIST FOR A CORRECT ANSWER
Answers:
-3.5 < 5
|-3.5| < |5|
============================================
Explanation:
Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.
---------
The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.
So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.
Use the equation to complete the activity.
219 86RN → 215 84Po + a
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.
Nuclear reaction involves the disintegration of an element and emission of radioactive particles during the process. This process can be natural, or artificially induced. Thus, the equation for the reaction is balanced.
Nuclear reaction is the process in which a given element emits radioactive particles or radiation. The two classes are: natural transmutation and artificial transmutation.
Natural transmutation occurs on its own due to the half life of the element. While artificial transmutation involves inducing or bombarding an element with another element or particle.
In the given question, the radon element undergoes transmutation into polonium and an alpha particle. The equation is given as;
[tex]^{219} _{86} RN[/tex] ⇒ [tex]^{215} _{84} Po[/tex] + [tex]^{4} _{2} a[/tex]
Therefore, the equation is balanced since an alpha particle was emitted.
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The nuclear reaction entails the breakdown of an element and the subsequent release of radioactive particles. This process can occur naturally or be produced purposefully. As a result, the reaction equation is balanced. The radon element is transmuted into polonium and an alpha particle in the provided question. Since an alpha particle was emitted, the equation is balanced.
PLEASE HELP, DUE TOMORROW
The graph of f(x) and g(x) are shown below
If f(x) = (x + 7)?, which of the following is g(x), based on the translation?
O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2
Answer:
c
Step-by-step explanation:
simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.