Answer:
y= -3x +6
Step-by-step explanation:
slope-intercept form:
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is
A)16:3
B)3:1
C)8:3
D)3:8
the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3
Answer:
1 zero: Answer C
Step-by-step explanation:
Keep in mind that the polynomial value is zero at any root. Therefore each point that is a root must lie precisely on the x-axis (where y = 0). In the graph given there is only one such point (Answer C)
What is a number of subsets for the set which contains the 10 elements.
Answer:
The number of subsets of a set containing 10 elements is 2^10=1024.
Step-by-step explanation:
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
The answers would be 196 and 193 for t = 8
The answers would be 76 and 73 for t = 3
If sin(21°) = 0.36, and cosθ = 0.36, what's the measure of ∠θ? ANSWERS: A) m∠θ = 21° B) m∠θ = 0.36° C) m∠θ = 90° D) m∠θ = 69°
Hey there! :)
Answer:
m∠θ = 69°.
Step-by-step explanation:
If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:
90 - 21 = 69°.
The correct answer is D) m∠θ = 69°.
there are 1600 students in school.47.5% are male.how many are female
Answer:
840 female students
Step-by-step explanation:
The total percentage of students is 100%, so, the percentage of female students = 100% - 47.5%
=52.5%
Multiply the total no. of students by the percentage to get the no. of female students.
1600 x 52.5%
= 840 female students
You can also obtain the same answer by first multiplying the male percentage to find the no. of male students, then subtracting it from the total 1600.
hi :) how to do question 7 ?
Answer:
Step-by-step explanation:
We khow that the equation of a circle is written this way :
(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .
Our task is to khow the values of a and b :
We khow that the center is lying on the line 3x+2y=16⇒ 2y=-3x+16⇒ y= [tex]\frac{-3}{2}[/tex]x+8 We khow that the points P and Q are two points in the cercle Let Ω be the center of this cercle we can notice that : PΩ AND QΩ are both equal to the radius ⇒ PΩ=QΩ= rSo let's write the expression of this distance using vectors KHOWING THAT Ω(a,b)Vector PΩ(a-4,b-6) and Vector QΩ(a-8,b-2) PΩ=[tex]\sqrt{(a-4)^{2}+(b-6)^{2} }[/tex] and QΩ=[tex]\sqrt{(a-8)^{2}+(b-2)^{2} }[/tex] Let's substitute a by x and b by y PΩ=QΩ we substitute each distance by its expression After simplyfying the expressions we get finally : -12+8x-8y=0 now we have -12x +8x-8y=0 and the line equation 3x+2y-16=0 these are simultanious equations so after solving them we get x=3.8 wich is approximatively 4 and y=2 we substitute a by 4 and y by 2 in PΩ to get the radius we get r = [tex]\sqrt{(4-4)^{2}+(2-6)^{2} }[/tex] = 4 so r²= 16 then the equation is : (x-4)²+(y-2)²=16What is the inverse of the function below?
f(x) =X/3-2
A. f^-1(1x) = 2(x-3)
B. f^-(1x) = 3(x-2)
c. f^-1(x) = 3(x + 2)
D. f^-1(x) = 2(x + 3)
Answer: C
Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.
1. Multiply by 3
2. Add 2
Equation by itself
0. x
1. 3(x)
2. 3(x+2)
The inverse of the given function is f⁻¹(x) = 3(x + 2).
What is the inverse of a function?The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).
The given function in the question:
f(x) = (x/3) - 2
f(x) + 2 = x/3
x + 2 = f⁻¹(x)/3
f⁻¹(x) = 3(x + 2)
Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).
Learn more about inverse on:
https://brainly.com/question/3831584
#SPJ2
Help ASAP I stink at these i always give brainliest and thanks
Answer:
A
Step-by-step explanation:
Using the recursive formula with a₁ = 5 , then
a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3
a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1
a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A
PLZ HELP QUICKLY, Prove triangle BED is congruent to BEF...need at least 3 reasons
Answer:
Step-by-step explanation:
1. DE = DF (Def of midpoint)
2. EB = EB (Reflexive)
3. <DEB is congruent to <FEB
3. EB is a transversal- alternate interior angles are congruent
4. SAS
4. SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal.
which mathematical operation is represented in the phrase "15 more than q"
A) +
B) ×
C) ÷
D) -
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
More than always indicates "ADDITION". So the mathematical operation is "+".
Answer:
A. +
Step-by-step explanation:
The key word in the phrase is "more than"
That signifies an increase of value which is addition's main function
If the number that was represented in the phrase is x, then we could write out an equation
x=q+15
URGENT !!! f(x) = x^2. what is g(x)?
Answer:
C
Step-by-step explanation:
Hello
The point (2,1) is on he graph of g
which means that g(2)=1
for A g(2)=2*4=8
for B g(2)=1/(2*2)
for C g(2)=1
for D g(2) =4/2=2
for the correct answer is C
Hope this helps
A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle?
Answer:
Step-by-step explanation:
Let x be the length and y be the width
The length is 1 inch longer than the width
So : x-1 =y
●●●●●●●●●●●●●●●●●●
The diagonal is 5 inches
The diagonal, width and length are forming a right triangle where the diagonal is the hypotenus
The Pythagorian theorem:
x^2 + y^2 = 5^2
●●●●●●●●●●●●●●●●●●●●●●●
Let's calculate y the width
The system is :
x-1 = y => x =y+1
x^2 + y^2 = 25
Replace x in the second equation with y+1 :
(y+1)^2 + y^2 = 25
y^2 + 2y + 1 + y^2 = 25
2y^2 + 2y +1 = 25
2y^2 + 2y -24 = 0
This is a quadratic equation so we will use the discriminant
●●●●●●●●●●●●●●●●●●●●●●
the discriminat is b^2-4ac
● b =2
● a = 2
● c = -24
b^2 -4ac = 4-4*2(-24) =196 > 0
Since the dicriminant is positive this equation has two solutions y and y'
y = (-2-14)/4 = -16/4 = -4
y '= (-2+14)/4 = 12/4 = 3
The first solution is negative
A distance is always positive so the first solution can't be the width
Then the width is 3
Determine if the following triangle is a right triangle or not using the Pythagorean theorem converse. Triangle with side lengths:8 in,15 in and 17 in
A.true,these measures do form a right triangle
B.false,these measures do not form a right triangle
Answer:
Picture of the problem please?
Step-by-step explanation:
How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?
Answer:
The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles
Step-by-step explanation:
From the three dimensional shape of a cube, triangles can be constructed from;
1) 6 side faces
2) 4 front face to opposite vertices triangles
3) 4 rear face to opposite vertices triangles
Each face can produce ₄C₃ = 4 triangles
Therefore;
The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4 × 4 = 56 triangles
Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent
The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent
The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent
Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.
There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.
Answer:
Answer is 3, i had it for homework
Step-by-step explanation:
box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar
Answer:
A. Interquartile
Step-by-step explanation:
Answer:
A: interquartile range
Step-by-step explanation:
edg2020
PRE CALC, helppp please
Hey there! :)
Answer:
Choice B.
Step-by-step explanation:
Since h(x) equals (g o f)(x):
f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:
A. f(x) = x, g(x) = x/ x + 1
(g o f)(x) = x / x + 1. This is incorrect.
B. f(x) = x², g(x) = x / x + 1
(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.
C. f(x) = x + 1, g(x) = 1/x²
(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.
D. f(x) = x + 1, g(x) = x²
(g o f)(x) = x² + 2x + 1. This is incorrect.
Therefore, B is the correct answer.
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answer:
B) 2775.9
Step-by-step explanation:
The missing options are:
A) 578
B) 2775.9
C) 134.591
D) 31.757
The digit 5 is in the tenths in 4.59. This means that its value is 0.5. A value 10 times greater is 10*0.5 = 5, that is, a 5 in the ones, like in 2775.9.
how to find the gradient of the line segment joining each pair points?
(1,3) (7,-1)
(6,1) (2,5)
(4,5) (-5,-7)
(-2,2) (2,8)
Answer:
1. -0.66666666666667
2. -1
3. 1.333
4. 1.5
!!!!!!!!!!!!!!!!!!!!!!!!!HELP PLZ
Answer: (13 + y)/5
Step-by-step explanation:
13+y is used to determine the actual number of jewelry being split, and /5 is to divide the total jewelry among each sister.
Also, pls look at this https://brainly.com/question/11254684
Answer:
Hey there!
The correct answer would be [tex]\frac{13+y}{5}[/tex] . The total amount of jewelry the grandmas gave was 13+y. Dividing that evenly among five people would give you the answer.
Mathematics IV
Nathan receives $28 each month for his allowance. If each month has approximately 4
weeks in it, how much money does he receive each week?
Answer:
$7
Step-by-step explanation:
So since he gets $28 in one month and there are 4 weeks in a month, -->
28/4 = 7 so, $7
Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-2)(x-1)(x-4)
Answer:
The last one
Step-by-step explanation:
The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).
Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.
So we have
f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0
and we have
x = -2 or x = -1 or x = -4
Hence the function must intersect the x-axis at these points.
The only graph that matches the requirements is the last one.
If I'm wrong I'm so sorry!
If I'm right Thank you and (Brainliest plz)
how would i do number 2?
Answer:
m=2
Step-by-step explanation:
When you put a number into the inverse of a function (f^-1) you get the original number back.
Ex: f^-1(11) = (11-3)/2 = 4
f(4) = 2×4+3 = 11
So, f(-5)=-2
So, when x is -5,
f(x) = -2
f(x)=m(-5)+8
-2=m(-5) + 8
m=2
What equation could be used to find the missing leg length a in a right triangle with a hypotenuse of 60 and leg length of 51?
Answer:
Pythagorean Theorem: a² + b² = c² should be used.
Step-by-step explanation:
51² + b² = 60²
b² = 60² - 51²
b = 3√111
b = 31.607
Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.
Answer:
Pythagoras theorem
EXPLANATION
HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE
i.e 60^2= 51^2+x^2
i.e 3600=2601+x^2
collecting like terms we have
3600-2601=x^2
999=x^2
√999=x
x=31.6
Need help answering this problem
Answer:
(a) Local Maximum (x,y) = (0,12)
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b) Increasing = [tex](-9,0)\cup (6,\infty)[/tex]
Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]
Step-by-step explanation:
(a)
Local Maximum: The function gives maximum value in small neighborhood.
From the given graph it is clear that the maximum value of the function is 12 at x=0. So,
Local Maximum (x,y) = (0,12)
Local Minimum: The function gives minimum value in small neighborhood.
It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b)
The function is increasing on -9<x<0 and after 6.
Increasing = [tex](-9,0)\cup (6,\infty)[/tex]
The function is decreasing on 0<x<6 and before -9.
Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]
What is the slope of the line?
Answer:
5/3
Step-by-step explanation:
it should be y/x
you can count 5 up and 3 over
Answer:
8/5
Step-by-step explanation:
You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.
help please :))))))))
Answer: 35/24 is the answer for the first part only.
Use calculator soup on google search to answer the rest.
Step-by-step explanation:
PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the perimeter)
Answer:
7x+10 cm
Step-by-step explanation:
To find the perimeter add up all the sides
There are 5 sides
3x+ 5+ 2x+2x+5
Combine like terms
3x+2x+2x +5+5
7x + 10
The perimeter is 7x+10 cm
Graph the inequality on the axes below.
2x + 5y 3-5
Answer:
there ARE NO AXES
Step-by-step explanation:
URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1
Answer:
WHAT
Step-by-step explanation: