Answer: [tex]a)\quad y=\dfrac{4}{5}x+\dfrac{8}{5}[/tex] [tex]b)\quad y=\dfrac{1}{3}x+\dfrac{10}{3}[/tex]
Step-by-step explanation:
Use the Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
and the Point-Slope formula: y - y₁ = m(x - x₁)
a) (-2, 0) and (3, 4)
[tex]m=\dfrac{0-4}{-2-3}\quad =\dfrac{-4}{-5}\quad =\dfrac{4}{5}[/tex]
Let (x₁, y₁) = (-2, 0)
y - y₁ = m(x - x₁)
[tex]y-0=\dfrac{4}{5}\bigg(x-(-2)\bigg)\\\\\\y\quad =\dfrac{4}{5}\bigg(x+2\bigg)\\\\\\\large\boxed{y\quad =\dfrac{4}{5}x+\dfrac{8}{5}}[/tex]
b) m = 1/3 (x₁, y₁) = (2, 4)
y - y₁ = m(x - x₁)
[tex]y-4=\dfrac{1}{3}\bigg(x-2\bigg)\\\\\\y-4 =\dfrac{1}{3}x-\dfrac{2}{3}\\\\\\y\quad \ =\dfrac{1}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\\\\\\\large\boxed{y\quad =\dfrac{1}{3}x+\dfrac{10}{3}}[/tex]
Write a quadratic function in standard form with zeros 1 and -10 plzzzz helppp meee
Answer:
[tex]f(x)=x^2+9x-10[/tex]
Step-by-step explanation:
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The factored form of a quadratic equation is:
[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f.
The question gives the zeros of the function: 1 and -10. This makes our function look like:
[tex]f(x)=a(x-1)[x-(-10)][/tex]
[tex]f(x)=a(x-1)(x+10)[/tex]
Operating:
[tex]f(x)=a(x^2+10x-x-10)[/tex]
Joining like terms:
[tex]f(x)=a(x^2+9x-10)[/tex]
Since we are not given any more conditions, we choose the value of a=1, thus. the required function is:
[tex]\boxed{f(x)=x^2+9x-10}[/tex]
Which property can be used to expand the expression Negative 2 (three-fourths x + 7)?
Answer:
I don't recall if there is a term for it, most people just say distributing the 2 to each term in the bracket, -3/2x-14
Step-by-step explanation:
. -2 x 3/4x -2 x 7 = -3/2x-14
Answer:
so distributive property i think there trying to say up top sorry if its wrong
Step-by-step explanation:
Kurt has $20. He spends $8. What percent of his money did Kurt spend?
Answer:
40% Hope I helped
Answer:
40%
Step-by-step explanation:
8 is 40% of 20
(14x4 - 29x3 + 24x2 + 2x - 29)/(2x - 3)
Answer:
your a winner Step-by-step explanation:
Solve for x.
Enter the solutions from least to greatest.
(2x + 4) (3x − 2) = 0
Answer:
-2 and .66666
Step-by-step explanation:
2(3x^2+4x-4)=0
2(3x^2+6x-2x-4)=0
2(x+2)(3x-2)=0
x=-2, .6666
tbh this is just the question in the photo but i need to write 20 words to be able to send it
Answer:
its c but I didn't really do any math it was kinda ez no cap but its just pi times 8 which Is bigger than 24 I think
Answer:
c
Step-by-step explanation:
8(3.14...) =
25.132.... >24
What number is 110% of 51?
Answer:
if you need decimals its 56.1 if not it would be 56
Answer:
56.1
Step-by-step explanation:
Just multiply "110%" and "51" together.
The decimal of 110% is 1.10
So,
1.1*51= 56.1
The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are ____
A. proportional
B. complementary
C. supplementary
D. congruent
The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That is option D.
What is an isosceles triangle theorem?An isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to these sides are congruent.
This is because the two side of the triangle are identical leading to the angles opposite them being equal too.
Therefore, the isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Learn more about angel here:
https://brainly.com/question/25770607
#SPJ2
Answer:Congruent
Step-by-step explanation:
Did I get this right if I did not please correct me and explain please thank you!
Answer:
The answer is 1/12.
Step-by-step explanation:
Think about it this way, 1/3÷8= 1/24.
Double that is 1/12.
i need help , can someone please help me
Answer: 90
cuz if you use the ruler thing it gives you 90 trust me
PLSSSS!!!! HELP ME!!!! I WILL MARK U!!!!YOUU!!!!
I already got 842 squared=c2 I just need help with simplest radical form
Answer:
The answer is 29.
Step-by-step explanation:
The steps to do this :
[tex] {c}^{2} = {20}^{2} + {21}^{2} [/tex]
[tex] {c}^{2} = 841[/tex]
[tex]c = \sqrt{841} [/tex]
[tex]c = 29[/tex]
need help pls ASAP pls pls
Answer C is the answer pls dont get mad if i told you the rong one
Step-by-step explanation:
A rectangle has length of 6cm and width of 4cm. The rectangle is to be enlarged by a scale factor of 8
Answer:
160
Step-by-step explanation:
Evaluate 2z + xy when x = 4, y = 6, and z = 3.
Answer:
30
Step-by-step explanation:2
2z+xy= 2(3)+(4)(6)
6 + 24
30
Answer:
30
Step-by-step explanation:
2z + xy
(2 x z) + (x x y)
(2 x 3) + (4 x 6)
6+24=30
21 is 3% of what number?
Answer:
the answer is 700
Step-by-step explanation:
it's 700 because 100% of 700 is 700,therefore 3 percent of 700 equals 21
Which two fractions are equal to 2
Answer:
4/2 6/3 8/4 10/5
Step-by-step explanation:
I dont know what exactly your looking for
but i would appreciate a brainliest
The two fraction which are equal to 2 are; 1/2 and 3/2.
According to the question;
We are required to determine which two fractions are equal to 2The two fractions which can be gotten by first determining the two decimals which are equal to 2.
The decimal numbers are; 1.5 and 0.5
In essence, the two fractions are therefore; 3/2 or 1/2.
Read more;
https://brainly.com/question/17788156
HELP QUICKLY !!!!
The choices are in the picture
Answer:
Answer is C hope this helps
Step-by-step explanation:
What is the y-intercept of the line? y = 5x - 9
Which of these are irrational and which are rational ?
Answer:
-51/5 and √64 are rational, the rest are irrational
Step-by-step explanation:
Irrational numbers are numbers that never end; 9.68, line of the 8 means the number would be 9.6888888888... going on forever, meaning its irrational. 2.010010001... goes on forever, and the square root of 6 also goes on forever.
-51/5, however, does not go on forever. The square root of 64 is 8, so these two are rational.
Answer:
see attached
Step-by-step explanation:
Priya’s neighbor has a dirt bike that can go 360 meters in 15 seconds. At this rate, how long would it take them to ride 3,000 meters?
Answer:
25 seconds
Step-by-step explanation:
360/15=24 meters per second
3000/24=125 seconds
Answer:
125 seconds
Step-by-step explanation:
125 seconds
Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
36
64
144
192
Answer:
b
Step-by-step explanation:
Ll you do is 48 divided by 0.75 or 3/4 and it equals 64 your answer
also i took the quiz got 100
The length of a rectangle is 4 m shorter than its width. If the perimeter of the rectangle is 18 m, find its length and width.
Group of answer choices
2(x - 4) + 2x = 18, where x represents the width.
2x - 8 + 2x = 18 (Distribute 2)
4x - 8 = 18 (Add like terms)
4x = 26 (Add 8 to both sides)
x = 6.5 (Divide 4 from both sides)
Length = x - 4 (Length is 4 less m than Width [x - 4])
6.5 - 4 = 2.5 (Substitue in x)
Length = 2.5
The length is 2.5 meters and the width is 6.5 meters.
You can check by adding 2.5 + 2.5 + 6.5 + 6.5 = 18.
The school's newspaper has asked you to contact 100 of the approximately 1100 students at the school to gather information about student opinions regarding food at your school's cafeteria. (c) You decide to conduct a survey about the quality of food served in the school cafeteria by randomly selecting students as they leave the cafeteria after lunch on a specific day next week. Describe a source of bias that may result from using this method. Be sure to use the correct terminology, and indicate the direction of the potential bias.
Answer:
Sampling bias
Step-by-step explanation:
Sampling bias is due to the mistaken manner of selection of the respondents for the survey when conducting market research or similar survey. The sampling bias error is said to have occurred when the sample selection procedure, methodology, or process focuses on part of the population with a particular attribute, rather than being a random sample. Such that a given subset of the of the population are selected for the survey, which results in a biased sample.
help can u explain how to get the answer
Answer:
is this for a test or a study guide or something else
Step-by-step explanation:
Answer:
24√6
Step-by-step explanation:
2√3 times 4√18
is 24√6
That is your Simplest Radical Form
what ordered pairs are on the graph of 7x-y=2
Answer:
(0,-2) (2/7,0)
Step-by-step explanation:
20. The ratio of students to adults on a field trip is 8 to 1. Which table correctly shows this ratio for
each grade? 6.RP.A.3a
Answer:
Its c
Step-by-step explanation:
because 96 divided by 12 equals 8
PLSSSS HELPPP WILL GIVE BRILEST
A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?
Answer:
400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.
Step-by-step explanation:
The inequality will be 400+4n ≥ 750 and the club will need to raise an average of $87.50 or more per month.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given that a school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition.
The inequality will be written as,
400+4n ≥ 750
4n ≥ 750 - 400
4n ≥ 350
n ≥ 350 / 4
n ≥ $87.5
To know more about inequality follow
https://brainly.com/question/25275758
#SPJ6
Jeremiah answers 90% of the questions on his test correctly. There are 40 questions on the test. Jeremiah writes the expression 40 minus (StartFraction 1 over 10 EndFraction times 40) to determine the number of questions answered correctly. Which is an equivalent expression?
Answer:
A 9/10 x 40
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Determine if the set of ordered pairs is a relation or function.