Answer:
y=-3x+9
Step-by-step explanation:
The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below. Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there. Now all that's left to find is the y-intercept (b). To find the y-intercept, choose one of the points on the line. It does not matter which point you choose (just pick the one that looks easiest to you). Plug in the values for x and y into the equation and solve for b.
Which of the following is the complete list of roots for the polynomial function f (x) = (x squared + 6 x + 8) (x squared + 6 x + 13)?
[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]
_________________________________
[tex] {x}^{2} + 6x + 8 = 0 [/tex]
[tex](x + 2)(x + 4) = 0[/tex]
##############################
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
##############################
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
_________________________________
[tex] {x}^{2} + 6x + 13 = 0 [/tex]
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]
[tex]b = coefficient \: \: of \: \: x = 6[/tex]
[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]
Thus ;
[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]
[tex]∆ = 36 - 104[/tex]
[tex]∆ = - 68[/tex]
=======================================
Point :
Remember from now on ,
In quadratic functions ;
if :
[tex]∆ > 0[/tex]
The function has two roots
if :
[tex]∆ = 0[/tex]
The function has just one root
if :
[tex]∆ < 0[/tex]
The function doesn't have any root.
=======================================
Thus , ( x² + 6x + 13 ) doesn't have any root.
So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.
_________________________________
And we're done....♥️♥️♥️♥️♥️
Answer:
c)-2,-4,-3+2i,-3-2i
Step-by-step explanation:
edge2020
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is . How long will it take the airplane to travel 800 miles? Do not include units (hours) in your answer.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d
To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.
t = 1/500 × 800
t = 800/500
t = 8/5
t = 1.6
Alicia is solving the equation 2.3 x minus 1.6 = 8.8 minus 2.9 x. Which equations represent possible ways to begin solving for x? Check all that apply.
Answer:
what are the options
Step-by-step explanation:
Answer: 1, 2, 5
Step-by-step explanation: I am doing the quiz, i know the answer choices
Last years phone model had a
battery that lasted 15 hours. This year
the battery only last for 7.5 hours.
What was the percent the battery life
decreased?
Answer:
probably It decreased by 1/2 which is a half
Step-by-step explanation:
What is the inverse of the function y - 2 = 3x?
Answer:
I think the answer is y=[tex]\frac{x-2}{3}[/tex]
Step-by-step explanation:
Help I will name u a brainlist
The first one is the the correct answer because the angles have a sum of 180 degrees.
Hope that helps you!!
(Question 1) Which mathematical property is shown by the statement?
If 43 = y, then y = 43.
A) transitive property
B) symmetric property
C) reflexive property
D) associative property of addition
(Question 2) Which mathematical property is shown by the statement?
(4y⋅9)⋅7=4y⋅(9⋅7)
associative property of addition
associative property of multiplication
commutative property of addition
commutative property of multiplication
(Question 3) Which statement is true for the set of natural numbers?
The set is closed under addition and closed under subtraction.
The set is not closed under addition and closed under subtraction.
The set is closed under addition and not closed under subtraction.
The set is not closed under addition and not closed under subtraction.
Answer:
1. symmetric property
2. associative property of multiplication
3. The set is closed under addition and not closed under subtraction
Step-by-step explanation:
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. Yes, because as x increases, y increases.
B. No, because not all of the pairs represent the same ratio.
C. Yes, because the ratios į and i are equal.
O D. No, because not all of the pairs are simplified ratios.
Answer: B) No, because not all of the pairs represent the same ratio
For each row, divide y over x
Row 1: y/x = 5/3 = 1.67 approximately
Row 2: y/x = 7.4 = 1.75
Row 3: y/x = 10/6 = 1.67 approximately
Row 4: y/x = 15/9 = 1.67 approximately
We see that row 2 has a ratio different from the others. If we were able to ignore this row, then the answer would be "yes x and y are proportional". However, we cannot ignore this row so that's why the answer is choice B.
We want to see if the relationship between x and y is proportional or not.
We will see that the correct option is B:
"No, because not all of the pairs represent the same ratio."
Let's see how to solve this.
First, a proportional relationship is something of the form:
y = k*x
Where k is the constant of proportionality.
So to see if the relationship between x and y is proportional, we can input the pairs on the general proportional relationship.
For the first pair, we have x = 3 and y = 5, then:
5 = k*3
Now we can find the value of k:
k = 5/3 = 1.667
Now let's do the same for the second pair of points, we should get the same constant of proportionality.
7 = k*4
k = 7/4 = 1.75
So we got different constants of proportionality for two different x-y pairs, thus, the relationship is not proportional.
Because k is defined as the ratio between y and x, we can say that the relationship is not proportional because not all of the pairs represent the same ratio.
Thus the correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/13114933
A recipe for brownies calls for 3/4 cups of sugar Skyler has a bag that contains 9 1/2 cups of sugar exactly how many batches of Brownies can Schuyler make with one bag of sugar express your answer as a mixed number.
Answer:
okkk
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer: She can make 12 batches of brownies. There is a slight remainder, but think about it like this, if you only had a spoon full of sugar left, do you think you could make an entire batch of brownies? No. So if you see problems like this, the whole number should be the answer (unless asked otherwise).
Step-by-step explanation: Since 3/4 is like 75 out of 100, the decimal form is .75 and we all know (or should know) that 1/2 can be put as .5. Whenever there's a whole number before the fraction, and you want to convert the fraction into a decimal, the whole number will go before the decimal. So after converting the fractions to decimals, the problem is 9.5 divided by .75 which is 12.6. Like I said before, that remainder .6 can't make an entire batch of brownies, so we just go with the whole number 12.
the equations above define w and z in terms of a. What is 2wz in terms of a?
w=a+2
z=a
Work Shown:
2wz = 2*(w)*(z)
2wz = 2*(a+2)*(z) .... replace w with a+2
2wz = 2*(a+2)*(a) ... replace z with a
2wz = 2a(a+2)
2wz = 2a(a) + 2a(2) .... distribute
2wz = 2a^2 + 4a
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
To understand more, check explanation below.
Linear equation:The equation is given as,
w = a +2 and z = a
We have to find 2wz.
[tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
Learn more about the linear equation here:
https://brainly.com/question/14323743
PLEASE HELP! Mr. Jones is renovating his backyard, which includes extending his patio. The design drawn by his landscaper use a scale of 1 inch=3.5 feet. If the patio is 5 inches long on the diagram and the orginal patio is 9 feet long, by how many feet is he extending it?
Answer:
8.5 ft I believe
Step-by-step explanation:
1 in=3.5 ft, so 5in=5(3.5)= 17.5 ft
17.5-9=8.5 ft
What is the slope of the line whose equation is 12=4x-6y?
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
Isolate Y
12=4x-6y Subtract 4x on both sides.
6y=-4x+12 Divide 6 on both sides.
[tex]y=\frac{4}{6}x+2[/tex] Simplify the linear equation(y=mx+b)
[tex]y=\frac{2}{3}x+2[/tex] Find m
m=[tex]\frac{2}{3}[/tex]
The bottom one please (image attached)
Answer:
The solution is: b=50
Step-by-step explanation:
7b+29=379
7b=350
b=50
If it's wrong I'm sorry I'm just going around answering questions for fun!
Hope this helped even the slightest! Gl!
Please mark brainliest!
Solve -1/6 (3x – 9) – 9= 3.
The solution is x=
Please explain
Answer:
x=23
Step-by-step explanation:
1/6 as a decimal is 0.16666667 but i rounded it to 0.2
so the equation is the 0.2(3x-9)-9=3
then i did 0.2 times 3x =0.6x
then 0.2 times -9= -1.8
so the equation now looks like this:
0.6x-1.8x-9=3
so i add 1.8 and 9 to 3 which gives you 13.8
then the equation looks like this:
0.6x=13.8
then you do 13.8 divided by 0.6 which equals 23.
hope this helps
tell me if i got it right or wrong
How many solutions does 1=1 have
Answer:
infinite
Step-by-step explanation:
because this 1=1 is true, there are infinite solutions
Answer:
Since both sides are equal,there are infinitely many solutions.
Step-by-step explanation:
Rakim charges $2 per hour for tutoring plus a $7 fee.
Joan charges a $3 fee plus $4 per hour.
When will their tutoring fees be the same (aka equal)
How many hours of tutoring will occur before the fees are the same?
How much has each person been paid in tutoring fees?
Answer:
after 2 hours, they will have the same fee.
they will have been payed 11$
Step-by-step explanation:
if you say h = hours of tutoring,
Rakim charges 7 + 2h
Joan charges 3 + 4h
since you want them to be the same, you can write the following equation:
7 + 2h = 3 + 4h
subtract 2h from each side
7 = 3 + 2h
subtract 3 from each side
4 = 2h
divide both sides by 2.
h = 2
after 2 hours, they will have the same fee.
they will have been payed 11$
"they will have been payed" ah yes the grammar.
what is the factor of 6a2 – 19a + 10 ???
Answer:
(2a - 5) • (3a - 2)
step by step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4
6a2 - 15a - 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a-2) • (2a-5)
Which is the desired factorization
Final result :
(2a - 5) • (3a - 2)
Answer:
(2a-5) (3a-2) is your correct answer.thank you ☺️☺️
What is the y-intercept of the equation y=3/4x-1
Answer:
y-intercept for this equation is -1.
Which of the following expressions are equivalent to 8 4/5 + (3 2/10 - 1 1/5)
Answer:
B/D/E
Step-by-step explanation:
What is the coefficient of
the term of degree 6 in the
polynomial below?
3x^2 – 14x^6 + 6x^3 + 12x +
5x^5
Answer:
14
Step-by-step explanation:
The coefficient is the number before the degree. In this equation, it looks to be that the number before the 6th degree is 14.
Tell whether the table represents a proportional relationship. If it does, identify the constant of proportionality.
Answer:
well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look
Step-by-step explanation:
So its proportional if the line lies on a straight path going through the (0,0)
and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis
find angle b show your work
Answer:
42°
Step-by-step explanation:
The angle measure of 295° just means we are working with a circle.
A circle totals to 360°.
If we add what we are given; 295 + 23 = 318°
We have the total angle measure we are given and "b" which we need to solve.
We can subtract 360 by what we are given to find angle "b"
360 - 318 = 42°
Best of Luck!
Round 56,650,243 to the nearest ten million
Answer:
57,000,000
Step-by-step explanation:
57,000,000
What is the solution for the equation?
a+ 8/3= 2/3
Answer:
a=-2
Step-by-step explanation:
HELPPPP!!! pleaseeeeee Describe the transformation of F(x)=x2 represented by g
Answer:g(x)=x-2+2
Step-by-step explanation:
Kid
After comparing the Legend and the Supreme,Victor saw an advertisement for a third vehicle,the Lunar.The manager said that the Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas,is the Lunar Victor's best option
Given :
Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.
To Find :
Is the Lunar Victor's best option.
Solution :
Number of miles Lunar travel per gallon is :
[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]
We know, miles travelled per gallon is given by 18 miles/gallon.
Therefore, The Legend is still the best option.
Which number is equivalent to (1/3)-4
Answer:
-3.6 repeated.
Step-by-step explanation:
( 1 / 3 ) - 4 = -3.6666666666666 (6 repeated)
The equivalent number is -3.6667
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in MathAn expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given:
(1/3)-4
Take LCM
1/3 - 4*3/1*3
=1/3 - 12-3
=-11/3
=-3.6666
Learn more about expression here:
https://brainly.com/question/17775178
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Please answer as soon as possible. Please make sure to explain your answer.
Thank you.
What is the slope of the line shown?
Answer:
The slope is y=-x
Step-by-step explanation:
Rise over run. Pick 2 points, then count the distance that is rose(can be neg) then the distance that it went horizontally. Put into a fraction form.
I really need help please.Write the equation of the line that passes through the points (-4,2) and (-7,-7) show all your work below
Answer:
y=3x+14
Step-by-step explanation:
Calculate the slope from 2 points.
Substitute either point into the equation.
Solve for b, which is the y-intercept of the line.
Substitute b, -1, into the equation from step 2.
hope it helps
is 19 and 95 co-prime
Answer:
No
Step-by-step explanation:
19 is a prime number but 95 is not.
95= 1x95
5x19
Step-by-step explanation:
19 is a prime number. Factors of 19 up to 100 are 19, 38, 57, 76, 95. ... Thus, there are 95 co-prime numbers to 19 exists between 1 and 100.