Answer:
y = -¹/₂ x + 4Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂ (x - 2)
So:
y - 3 = -¹/₂ x + 1 {add 3 to both sides}
y = -¹/₂ x + 4 ← the slope-intercept form of the equation
Solve each equation by completing the square. n^2 - 6n + 6 = -2
[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
A nursery plants 6 rows containing 24 pine trees each. It plants 3 rows containing 32 pine trees each. How many pine trees does the nursery plant in all?
Answer:
264 pine trees
Step-by-step explanation:
Calculation for How many pine trees does the nursery plant in all?
Pine trees=(6 rows*32 pine trees)+(3 rows*24 pine trees)
Pine trees=192 pine trees+72 pine trees
Pine trees=264 pine trees
Therefore the numbers of pine trees that the nursery plant in all is 264 pine trees
Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?
Answer: Yes. They'll both make 4 apple pies.
Step-by-step explanation:
Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:
= 13 / 338
= 0.03485
Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:
= 9 / 216
= 0.0417
When they each have 105 apples, the number of apple pies that Mateo will make will be:
= 0.03485 × 105
= 3.65925
= 4 apple pie approximately
Jennifer will make:
= 0.0417 × 105
= 4.3785
= 4 apple pie approximately
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
Find the value of x
Answer:
x=52
Step-by-step explanation:
in the picture above
Answer:
x=54
if not i think its 52
Step-by-step explanation:
hope this helps!
have a good day :)
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
Rewrite the quadratic function below in standard form y=3(x-8)(x-4)
Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)
Answer:
138.16 cm
Step-by-step explanation:
Recall that the formula for calculating the circumference is pi times diameter.
Circumference = 44 x 3.14 cm = 138.16 cm.
which equations have a rate of change greater than the rate of change for the line shown?
Answer:
y = 5x + 3
The line shown has a rate of change of 2, while y = 5x + 3 has a rate of change of 5.
Write a division number story with an answer of 3/5
Answer:
Tom had 5 friends with him at the beach.
John came by with out his shirt on, showing his muscles.
2 of Tom's friends left with John
What fraction of Tom's friends were left with Tom?
Step-by-step explanation:
Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Expression is 3/5.
To write a division number story with an answer of 3/5:
Jacob and his 4 friends went to pizza house.
That means, the total number of people = 5.
Jacob bought 3 pizzas and share with his friends.
So, each of them get 3/5 pizzas.
Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.
To learn more about the division;
brainly.com/question/13263114
#SPJ2
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Let
Weight of large box = x
Weight of small box = y
6x + 5y = 145 (1)
2x + 3y = 57 (2)
Multiply (2) by 3
6x + 9y = 171 (3)
6x + 5y = 145 (1)
Subtract (1) from (3)
9y - 5y = 171 - 145
4y = 26
y = 6.5 kg
Substitute y = 6.5 kg into (2)
2x + 3y = 57
2x + 3(6.5) = 57
2x + 19.5 = 57
2x = 57 - 19.5
2x = 37.5
x = 37.5/2
x = 18.75 kg
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
which equation matches the graph?
please help i have to turn this in in 10 mins
Answer:
3) yes by AA~...
Step-by-step explanation:
ALTERNATE INTERIOR ANGLES
You scored 90, 95 and 87 on three test. Write and solve an Equation to find the score on the fourth test so that your mean test is 90.
Clothing Online An online clothing company sells custom sweatshirts. The company charges $2.99 for shipping plus $6.00 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Which equation matches the graph?
In the xy graph, the range of both axes is minus four to four by increment of one. On both axes every alternate tick marks are labeled. The line on the graph passes through the points (0, -1) and (-1, 3).
A. y = 3x – 8
B. y = –2x + 1
C. y = –4x – 1
D. y = 2x – 5
Answer:
Step-by-step explanation:
we can easily find this by looking at our y intercept
our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for
so C would be oour answer since its the only one with -1 as its constant
hope this helps <3
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
Mr Doyle mowed 2/7 of his lawn. His son mode 1/3 of it. Who made most of the lawn? How much of the lawn still needs to be mowed?
Answer:
His son mowed most of it and 8/21 of it still needs to be done.
Step-by-step explanation:
Trust me
Rate 5 stars mark as brainliest and press thancks plz!
Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals
I WILL GIVE YOU BRAINLIEST JUST PLEASE HELP ME WITH THIS PROBLEM
Answer:
answer
Step-by-step explanation:
yes!
.............
Answer:
yes
if it's helpful ❤❤❤
THANK YOU
Can anyone help me on this?
25
21
22
14
15
16
17
Overview
Suomt Ang
Question Progress
Homework Progress
32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
Can somebody help me pls
Answer: the m in in the equation y = mx + b represents the slope of the graph of y = mx + b.
I can't solve this lol pls help
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
Find the value for x.
5x-12
3x + 30
48
Answer: 21
Step-by-step explanation:
A $50 shirt is on sale for
$42. What percent does the
customer save?
F(-2)=15, F(1)=9 can someone help me please
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11
Marla draws a diagonal in a rhombus to form two triangles. What term can she use to classify each triangle? Explain.
A.
Acute; a rhombus always has 2 acute angles so the 3 angles in each triangle must all be acute.
B.
Equilateral; since a rhombus always has 4 equal sides, each triangle must have 3 equal sides.
C.
Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
D.
Obtuse; a rhombus always has 2 obtuse angles so each triangle must have an obtuse angle.
Please answer ASAP
Answer: It's C because It was correct on my test.
If I wrong i'm really sorry
Step-by-step explanation:
C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
A rhombus is a quadrilateral with all four sides congruent, or equal in length. When a diagonal is drawn in a rhombus, it will always divide the rhombus into two congruent triangles. Since the opposite sides of a rhombus are congruent, the two triangles formed by the diagonal will always have two congruent sides. Therefore, each triangle is an isosceles triangle.
A rhombus can have angles of various degrees. It can have angles more than 90 degrees, less than 90 degrees, or 90 degrees which means the statements A, and D are incorrect.
B is incorrect because the triangles formed by the diagonal of a rhombus will not have 3 equal sides, because the diagonal will not be congruent with the sides.
Hence, the correct answer would be an option (C).
Learn more about Isosceles Triangle here:
brainly.com/question/2456591
#SPJ2
PLEASEEEE HELPPP ITS DUE IN 15 MINUTES!! the exponential regression representing the population of Lazy Town as a function of time in years
Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
We have, [tex]a=8000,b=0.9[/tex].
Substituting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is [tex]y_1\sim 8000(0.9)^{x_1}[/tex].