What are the x- and y-intercepts of the line with equations x+2y=4?
Could someone explain this to me?
Answers
x+2y=4------------ > y=(4-x)/2
the x-intercepts is the value of X for y=0
0=(4-x)/2------------ > x=4--------------------> (4,0)
the y-intercepts is the value of y for x=0
y=(4-0)/2------------- > y=2-------------------> (0,2)
see the attached figure
Related Questions
John has 51 cards. Paul has 32 cards. George has a number of cards greater than either Paul or John. How many cards might George have?
Answers
John has 51 cards.
Paul has 32 cards.
George has a number of cards greater than either Paul or John.
This means, George does have number of cards greater than both Paul and John.
Number of Cards with John is 51 and number of cards with Paul is 32 cards.
Therefore the number of cards that George may have is in between 33 and 51
If George has any number of cards greater than 32 and less than 52, then this number of cards is greater than cards with Paul but less than the cards with John.
Number of cards George has is > 32 but < 52
Hope this helps..!!
Thank you:)
) find the function satisfying the y′−3y=9e6t y′−3y=9e6t and y(0)=3.y(0)=3.
Answers
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
Answers
Answer:
A' would be return to its original position .
Step-by-step explanation:
Given : If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°.
To find : where would point A' lie.
Solution : We have given that ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°
By the reflection rule over y axis .( x ,y) →→ ( -x ,y)
Suppose A ( x ,y) if we reflect it over y axis then
A( x ,y) →→ A'( -x ,y)
Now reflect it over x axis (-x ,y) →→( -x ,-y)
Now rotate by 180° it become ( -x, -y) →→( x ,y)
Hence , it return to its original position .
Therefore, A' would be return to its original position .
John ran the 100-m dash with a time of 9.96 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be?
Answers
By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.
Explanation:The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:
v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second
Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:
26 miles * 1,609.34 meters/mile = 41,842.84 meters
To find the time (t) to run the marathon, we divide the total distance by the average speed:
t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds
Finally, we convert seconds to a more understandable unit of time, hours and minutes:
4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours
So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.
Mario has 3.875 liters of juice at the beginning of the day he drinks 2.79 liters during the day how much juice is left over st the end of the day
Answers
Answer:
The juice left at the end of the day is 1.085 liters.
Step-by-step explanation:
Juice at the beginning of the day: 3.875 liters
Juice drink by Mario during the day: 2.79 liters
Juice left at the end of the day = Juice at the beginning of the day - Juice drink by Mario during the day
= 3.875 - 2.79
= 1.085 liters
Write at least three different expressions that mean “slope”
Answers
2. y=mx+b
3. rise over run
Answer:
Step-by-step explanation:
Considering 'm' as the slope of a function y=f(x) we can have:
1. m=(y2-y1)/(x2-x1) which is the slope of a line based on two points from the line.
2. m=dy/dx which is the slope of the function y=f(x) in (x,y) by the derivative.
3. m=tan(Ф) which is the slope of a line when the angle (Ф) with respect x-axis is known.
Explain how you can use a model to find 4X 3/8. Include a drawing and a solution
Answers
Order the numbers 0.64, 2/3 , 65%, and 7/10 from least to greatest.
Answers
2/3 = 0.67
65% = 0.65
7/10 = 0.70
answer
Order from least to greatest: 0.64, 65%, 2/3 and 7/10
Answer:
0.64, 65%, 2/3, 7/10
Step-by-step explanation:
The first step to solve this problem is writing all numbers on the same format:
I am going to write as percentages in the decimal format. So
0.64 = 0.64
2/3 = 0.667
65% = 65/100 = 0.65
7/10 = 0.7
So the correct answer is:
0.64, 65%, 2/3, 7/10
a sticker price on a new vehicle is $33985 , but the dealer cost is $27700 and you want to offer 4% over the dealer cost. what would be the offered amount?
Answers
4%, in decimal form (so we can easily multiply it), is 0.04.
27700 * 0.04 = 1108
27700 + 1108 = 28808
The answer is 28808 dollars.
What is the axis of symmetry of h(x)=5x^2+40x+64
Answers
.. x = -b/(2a)
You have
.. a = 5
.. b = 40
so the axis of symmetry is
.. x = -40/(2*5)
.. x = -4
Answer:
2
Step-by-step explanation:
give me brainliest
Explain what a polynomials is and identify the different parts of a polynomial.
Explain the different labels used to categorize polynomials
Explain how addition and subtraction of polynomials is accomplished
When multiplying polynomials, we are taking every term of one polynomial and multiplying them by every term of the second polynomial, then collecting like terms explain how foil helps us to accomplish this and what category of polynomials foil applies to.
There are tow special case products where the product takes on special patterns explain these two cases and when they occur.
For each of the two special cases, illustrate your explanation with an appropriate exercise from the ( a+b)2=a2+2ab+b2 )(a-b)2=a2-2ab+b2 ) showing how the multiplication is performed using the special pattern formula then also showing the same result using foil.
Answers
A polynomial is an expression of more than one term. An expression is considered a polynomial when is has more than one term, otherwise, it would be called a monomial. These can be combined together through multiplication, addition and subtraction only. (Meaning no division or fractions)
Ex.
[tex]3 x^{2} + 3x - 3[/tex]
x is a variable (There can be more than 1 variable in a term. Ex. 3xy, 4xyz, 4ab)
*A variable may be represented by letters.
2 is an exponent
3 is a constant
Those are the parts of a polynomial.
Polynomials can be categorized depending on the number of terms and their degree.
A polynomial with two terms is called a binomial. If it has three terms it is called a trinomial. If the expression has more than 3 terms, they are generally called polynomials.
A polynomial can be categorized by degree as well. You can determine the degree of a polynomial by looking at the term that has the highest exponent.
Using the example above, you can categorize the polynomial as a 2nd degree trinomial because 2 is the highest exponent and it has three terms.
When you add and subtract polynomials you need to take note of the variables. You can only subtract and add like terms, which means that the variables and the exponents are the same.
Ex.
[tex]( 2x^{3} + 2 y^{2} + x + 1) + (4 x^{2} - y^{2} + y + 2)[/tex]
When you add these two polynomials, you can disregard the parentheses because according to the associative property of addition, no matter how you group the terms, the answer will be the same.
Like mentioned before you can only add and subtract like terms. It would be easier if you just group like terms together by rearranging the expression. Do not forget that the sign or operation comes along with them.
[tex]2 x^{3} + 2 y^{2} - y^{2} + 4 x^{2} + x + y + 2 + 1[/tex]
Now combine the like terms.
[tex]2 x^{3} + y^{2} + 4 x^{2} + x + y + 3[/tex]
Notice that we retained the terms [tex]2 x^{3} [/tex] , [tex]4 x^{2} [/tex], x and y, this is because they have no similar terms.
FOIL method is used when multiplying 2 BINOMIALS. Remember that a binomial is an expression with 2 terms.
FOIL means:
FIRST term: first terms of each binomial.
OUTSIDE term: The two outer terms when taking the equation as a whole.
INSIDE term: The two inner terms when taking the equation as a whole.
LAST term: Last term of each binomial (2nd term of each binomial)
To get the answer, you need to multiply them with their corresponding term.
Ex. (2x+3)(x-4)
F: 2x and x (2x)(x) = [tex] 2x^{2} [/tex]
O: 2x and -4 (2x)(-4) = -8x
I: 3 and x (3)(x) = 3x
L: 3 and -4 (3)(-4) = -12
Resulting expression:
[tex]2 x^{2} - 8x + 3x -12[/tex] -8x and 3x are similar or like terms, so you can combine them
[tex]2 x^{2} - 5x -12[/tex]
When doing multiplication with binomials, there are two special cases you can consider doing, which follow a pattern. The first is multiplying sum and difference.
The condition where you can apply the first special case is the first term needs to be the same and the second term are additive inverses.
(a+b)(a-b)
The resulting expression follows this pattern [tex] a^{2} - b^{2} [/tex]
Ex. (x+3)(x-3) = [tex] x^{2} - 3^{2} [/tex] or [tex] x^{2} -9[/tex]
You can use FOIL to check your answer:
F: (x)(x) = [tex] x^{2} [/tex]
O: (x)(-3) = [tex]-3x[/tex]
I: (3)(x) = [tex]3x[/tex]
L: (3)(-3) = [tex]-9[/tex]
Arrange the expression:
[tex] x^{2} - 3x + 3x - 9[/tex] Combining -3x+3x = 0
[tex] x^{2} -9[/tex]
The next special case is squaring a binomial and there are two scenarios that you can consider.
[tex] (a+b)^{2} [/tex] and [tex] (a-b)^{2} [/tex]
The resulting expression follows a certain pattern for each:
[tex] (a+b)^{2} [/tex] = [tex] a^{2} + 2ab + b^{2} [/tex]
[tex] (a-b)^{2} [/tex] = [tex] a^{2} - 2ab + b^{2} [/tex]
Let's use an example of each to demonstrate this and check with FOIL:
[tex] (a+b)^{2} [/tex]
[tex] (2x+4)^{2} [/tex]
a = 2x b = +4
Let's insert that into our pattern:
[tex] a^{2} + 2ab + b^{2} [/tex]
[tex] 2x^{2} + 2(2x)(4) + 4^{2} [/tex]
Simplify the expression:
[tex] 2x^{2} + 16x + 4^{2} [/tex]
[tex] 4x^{2} + 16x + 16 [/tex]
Let's check with FOIL
[tex] (2x+4)^{2} [/tex] = [tex] (2x+4)(2x+4) [/tex]
F: (2x)(2x) = [tex] 4x^{2} [/tex]
O: (2x)(4) = [tex]8x[/tex]
I: (4)(x) = [tex]8x[/tex]
L: (4)(4) = [tex]16[/tex]
Let's arrange the terms:[tex] 4x^{2} + 8x + 8x + 16[/tex] Combine the like terms
[tex] 4x^{2} + 16x + 16[/tex] It's the same.
Now let's use the second scenario:
[tex] (a-b)^{2} [/tex]
[tex] (2x-4)^{2} [/tex]
a = 2x b = -4
Let's insert that into our pattern:
[tex] a^{2} - 2ab + b^{2} [/tex]
[tex] 2x^{2} - 2(2x)(-4) + (-4)^{2} [/tex]
Simplify the expression:
[tex] 2x^{2} - 16x + (-4)^{2} [/tex]
Let's check with FOIL
[tex] (2x+4)^{2} [/tex] = [tex] (2x-4)(2x-4) [/tex]
F: (2x)(2x) = [tex] 4x^{2} [/tex]
O: (2x)(-4) = [tex]-8x[/tex]
I: (-4)(x) = [tex]-8x[/tex]
L: (-4)(-4) = [tex]16[/tex]
Let's arrange the terms:[tex] 4x^{2} - 8x - 8x + 16[/tex] Combine the like terms
[tex] 4x^{2} - 16x + 16[/tex] It's the same.
Simplify the expression. 12P5 : 11,880 95,040 7,920 1,235,520
Answers
So the correct answer is B. 95,040
So the correct answer is B. 95,040
Leroy's total employee compensation was $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total job benefits?
a.
$53,650
b.
$50,150
c.
$46,650
d.
$47,650
Answer is :
a.
$53,650
100% correct
Answers
Answer:
Correct answer is a.$53,650
Step-by-step explanation:
Total job benefits includes both employee compensation and the expenses for traveling and for professional development for the year.
So we need to add those together to fond the total job benefits.
Total job benefits = employee compensation + expenses for traveling and for professional development
Total job benefits = $[tex]50,150+3500[/tex]
=$[tex]53,650[/tex]
Therefore correct answer is a.$53,650
Answer:
a. $53,650
Step-by-step explanation:
Evelyn is waiting in line for concert tickets. She is 2.5 blocks from the ticket booth. 16 blocks equals 1 mile. Each person takes up about 2 feet in the line. Which calculation can be used to find about how many people are ahead of Evelyn in line?
Answers
Convert blocks to miles
I apply a rule of three
16 blocks equals----------------- > 1 mile
2.5 blocks ----------------------------> X
X=2.5/16=0.15625 miles
Step 2
Convert miles to feet
we know that
1 mile-------------> 5280 feet
0.15625 miles-----X
X=0.15625*5280= 825 ft
Step 3
Convert feet to numbers of persons in line
we know that
1 person--------------> 2 ft
X--------------------> 825 ft
X=825/2=412.5------------> 413 persons
the answer is about 413 persons are ahead of Evelyn in line
Answer:
1/2 person over feet
Step-by-step explanation:
yw!
Rewrite the standard equation in slope-intercept form: 3x-8y=24
Answers
-3x -3x
-8y=-3x+24
Divide by -8 on both sides
[tex]y= -\frac{3}{8}x +3[/tex]
The equation 3x - 8y = 24 can be written in slope intercept form as y = [tex]\frac{3}{8}[/tex] x - 3.
What is Slope?Slope of a line is defined as the value of the change in the values of the y coordinates with respect to the change in the values of the x coordinate.
It can also be defined as the tangent of the angle that the line makes with the X axis.
The standard equation of a line in slope intercept form is, y = mx + c, where m is the slope and c is the y intercept.
y intercept is the y coordinate when the line touches with the Y axis. The x coordinate of that point will be zero.
The given equation is,
3x - 8y = 24
Subtracting both sides of the equation with -3x,
3x - 8y - 3x = 24 - 3x
-8y = 24 - 3x
Dividing both sides by -8, we get,
y = -3 + [tex]\frac{3}{8}[/tex] x
y = [tex]\frac{3}{8}[/tex] x - 3
Hence the standard equation in slope intercept form for 3x - 8y = 24 is y = [tex]\frac{3}{8}[/tex] x - 3.
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Please help me with questions 20
Answers
--------------------------------------------------------------
tan(angle) = opposite/adjacent
tan(x) = 100/150
tan(x) = 2/3
x = arctan(2/3)
x = 33.6900675
which rounds to 34 degrees
Beethoven wrote 9 symphonies and mozart wrote 27 piano concertos. if a university radio station announcer wishes to play first a beethoven symphony and then a mozart concerto, in how many ways can this be done?
Answers
There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).
Explanation:To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.
The calculation is as follows:
Beethoven symphonies: 9 optionsMozart concertos: 27 optionsTherefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:
9 symphonies × 27 concertos = 243 possible combinations
This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.
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Describe two different methods to find the elapsed time from 2:30 PM to 2:58 P. M.
Answers
Subtract 2:30 directly from 2:58.
2:58 - 2:30 = 0:28
Method 2:
Round 2:58 to 3:00, subtract 2:30 from 3:00, and subtract 2 (2:58 + 2 = 3:00)
2:58 is approximately 3:00
3:00 - 2:30 = 30 min
30 min - 2 min = 28 min
Hope this helps!
Cora is taking three AP classes and two regular classes. Her AP classes count twice as much as her regular classes in her GPA. Each A is worth 4 points, Bs are worth 3 points, Cs are worth 2 points, and Ds are worth 1 point. What is Cora's GPA? Class Cora's grade AP English A AP Government A AP Algebra II A Spanish B Physics A
Answers
Cora's GPA, considering the weighted AP classes and grades achieved, calculates to be 3.875.
To calculate Cora's GPA with her AP and regular classes, we need to account for the weight of her AP classes.
Cora has five classes with three being AP and two regular.AP classes count twice as much as regular classes. Thus, AP classes will be counted as double credits.Calculate the points for each grade:AP English (A): 4 points, counted double = 4 × 2 = 8 pointsAP Government (A): 4 points, counted double = 4 × 2 = 8 pointsAP Algebra II (A): 4 points, counted double = 4 × 2 = 8 pointsSpanish (B): 3 pointsPhysics (A): 4 pointsTotal points = 8 + 8 + 8 + 3 + 4 = 31 pointsTotal credit count = 6 (for AP) + 2 (for regular) = 8 creditsCalculate GPA = Total points / Total credits = 31 / 8 = 3.875Therefore, Cora's GPA is 3.875.
What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)
Answers
1. You must add the terms whose variables and exponents are the same.
2. Let's rewrite the polynomials:
(8x²-9y²-4x)+(x²-3y²-7x)
8x²-9y²-4x+x²-3y²-7x
(8+1)x²+(-4-7)x+(-9-3)y²
3. Therefore, the result is:
9x²-11x-12y²
3. What is the sum of the polynomials?
The answer is: 9x²-11x-12y²
Answer:
D
Step-by-step explanation:
A train traveled 300 km in 5 hours and then increased in speed, traveling the final 100 km in 1.5 hours. What was the train's average speed in km/h?
66.7 km/h
60 km/h
61.5 km/h
54 km/h
Answers
100 km........1,5 h
v1= 200/3,5=57,1
v2= 100/1,5= 66,6
vm=( 57.1+66,6)/2≈ 61,5 km/h
Answer:
vm=( 57.1+66,6)/2≈ 61,5 km/h
Step-by-step explanation:
A principal of $2000 is invested at 8% interest, compounded annually. How much will the investment be worth afte 5 years?
Answers
8% of $2000 = 2000 · 0.08 which equals $160. So $160 is added the first year.
2. 2160 · 0.08 = $172.8 = $2332.80
3. 2332.80 · 0.08 = $186.624 = $2519.424
4. 2519.424 · 0.08 = $201.55392 = $2720.97792
5. 2720.97792 · 0.08 = $217.6782336 = $2938.6561536
Rounded to the nearest hundredth, after 5 years there will be $2938.66.
Texas has 254 counties, California has 58 counties, Florida has 67 counties,how many more counties does texas have than the number of counties in California and Florida combined
Answers
What is the following product? Assume
Answers
The answer is B 10x56 Sq 6xy
Answer:
B
Step-by-step explanation:
edgen 2020
A dice is rolled, then a coin is tossed. What is the probability of getting a 5 then tails?
Answers
The chance of rolling a 5 on a six-sided dice is 1/6, and the probability of getting a tails in a coin toss is 1/2. The total probability of both these independent events occurring is (1/6) * (1/2) = 1/12 or approximately 0.0833 on a decimal scale.
Explanation:The question is asking for the probability of rolling a 5 on a dice and then getting a tails on a coin toss. To get the total probability, we multiply the individual probabilities together.
First, let's consider a fair six-sided die. The chance of rolling a 5 (or any specific number between 1 and 6) is 1/6.
Next, we consider a fair coin, which has two outcomes: heads or tails. So, the probability of getting tails is 1/2.
The total probability of both these events occurring is (1/6) * (1/2) = 1/12. So, the probability of rolling a 5 and then tossing a tail is 1 in 12 or approximately 0.0833 on a decimal scale.
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54 equals 9 more than a number t
Answers
"more than" indicates addition. 9 more than a number t is t + 9:
54 = t + 9
If you need the solution, it follows:
54 = t + 9
45 = t
t = 45
Hope this helps!
A circle has radius of 119.3 mm. What is the circumstance of the circle
Answers
=2π(119.3)
=238.6π
=749.58mm
To find the circumference, you have to use the equation c=(pi) times r times 2
Plug in 119.3 to replace r, the radius, and you get:
About 749.5840071 mm :)
which equation is equivalent to log3(x+5)=2
Answers
If we were to solve, x=85/3
In this figure, ∠a and ∠b are 15 points here
Answers
So, the correct answer is Supplementary angels because angles A and B equal a sum of 180*.
Hope this helps!
Compounding with different interest rates a deposit of $750 earns interest rates of 10.5 percent in the first year and 7.5 percent in the second year. what would be the second year future value? $890.91 $885.00 $829.43 $1,635.00
Answers
FV=PV(1+i)(1+j)
FV is the future value.
PV is the present value (PV=$750).
i=10.5%=0.105
j=7.5%=0.075
2. Therefore, you only have to substitute these values into the formula FV=PV(1+i)(1+j) to obtain the Future value:
FV=PV(1+i)(1+j)
FV=$750(1+0.105)(1+0.075)
FV=$750(1.105)(1.075)
3. Then, the result is:
FV=$890.91
What would be the second year future value?
The answer is: $890.91