Answer:
y = - [tex]\frac{2}{3}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts
m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line
Fill in the [?]: 82 micro liters= 8.2x10^[?] L
9514 1404 393
Answer:
-5
Step-by-step explanation:
Micro is an SI prefix meaning 10^-6.
82×10^-6 = 8.2×10^-5
Your exponent is -5.
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
23 subtracted from a number
Answer:
x-23
Step-by-step explanation:
if the number is x then you want to take 23 away so you have x-23
What are the solutions?
It's the third option.
Completing the square yields
x ² + 9x + 7 = 0
(x ² + 9x + 81/4) + 7 = 81/4
(x + 9/2)² + 7 = 81/4
Now solving for x gives
(x + 9/2)² = 53/4
x + 9/2 = ± √(53/4) = ± √53/2
x = (-9 ± √53)/2
Factorize p2-15q-5p+2pq
Hope it's help you!!!!!!
B is the midpoint of line segment AD, and C is the midpoint of line segment BD. If AD = 12, what is BC?
A. 1.5
B. 3
C. 4
D. 6
Factorize the following:
cosB + 5cosB - 6
[tex]\\ \rm\Rrightarrow cosB+5cosB-6[/tex]
Add cos[tex]\\ \rm\Rrightarrow (1+5)cosB-6[/tex]
[tex]\\ \rm\Rrightarrow 6cosB-6[/tex]
Take 6 common[tex]\\ \rm\Rrightarrow 6(cosB-1)[/tex]
Answer:
6(cosB - 1)
BRAINLIEST, PLEASE!
Step-by-step explanation:
cosB + 5cosB - 6
6cosB - 6
6(cosB - 1)
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
A.4/7
B.7/8
C.8/7
D.7/4
Answer:
B
Step-by-step explanation:
If the diameter of sphere B is 42, that means the radius is half, so it is 21.
The question is asking what multiplied by 24 is 21, or 21 divided by 24. 21/24 can be simplified to 7/8.
Please help me with this
Answer:
6
Step-by-step explanation:
c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6
What is the probability of randomly picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer
20%
Step-by-step explanation:
Triangle DEF has sides of length x, x+3, and x−1. What are all the possible types of DEF?
Triangle DEF is scalene
Must click thanks and mark brainliest
The triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.
What is a scalene triangle?A scalene triangle is a type of triangle which have all the sides to be unequal and similarly, all the angles will also be unequal to each other.
Given that:-
Triangle DEF has sides of length x, x+3, and x−1it is given that all the sides of the triangle are x, x+3, and x−1 we can clearly see that for any value of x all the three sides will have different values. we can conclude from this that the triangle DEF is a scalene triangle.
Therefore triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.
To know more about the scalene triangle follow
https://brainly.com/question/16589630
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A B means:
A is an element of B
B is a subset of A
B is an element of B
A is a subset of B
none of the above
Answer:
A is a subset of B i believe that's the answer
Consider the formula for surface area, SA = (p: h) + 2B. The perimeter is
given in
the height in and area of the base in
A. in; in?; in
B. in2; in; in 2
C. in; in; in
O D. None of the above
The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.
Given:
formula for surface area, SA = (P x h) + 2B
P is the the perimeter
h is the height
B is the area of the base
To find:
the corresponding units of the perimeter, height and the area of the base.
perimeter is measured in inches (in)height is measured in inches (in)area of the base is measured in inches square (in²)The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.
Learn more here: https://brainly.com/question/3871993
In a particular year, a total of 46,601 students studied in two of the most popular host countries when traveling abroad. If 8483 more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country. There were ____ students who studied abroad in the most popular host country.
Answer:
31,783.5
Step-by-step explanation:
Half of 46601 = 23300.5
23300.5 + 8483 =31783.5
Find a 3 digit number with all these properties: all 3 digits are different, the 1st digit is the square of the second digit in the 3rd digit on one more than twice the second digit
Answer:
425 or 937
Step-by-step explanation:
First, I listed out all the possible numbers for the first digits, namely, the squares under 10.
1*1=1
2*2=4
3*3=9
Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.
Starting with 4:
2 squared is 4.
42
2 times 2 plus 1 equals 5.
425
Starting with 9:
3 squared is 9.
93
2 times 3 plus 1 equals 7.
937
So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!
I hope this helped! :D
In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
-3(10b+10)+5(b+2 help me solve this
Which transformation maps the pre-image to the image?
dilation
reflection
rotation
translation
Answer:
Reflection
Step-by-step explanation:
Because reflecting yourself in a mirror means pre image to image
Answer:
Step-by-step explanation:
dilation
How do you complete the square of x2+8x+26?
Answer:
see below
Step-by-step explanation:
x^2+8x+26
Take the coefficient of the x term
8
Divide by 2
8/2 = 4
square it
4^2 =16
we need to add 16 to 26 = 16+10
x^2 + 8x+16 +10
(x+4)^2 +10
The answer you are looking for is (x+4)²+10.
Solution/Explanation:
Selecting the "x" term's coefficient,
It would be 8.
Now, dividing it by 2,
8/2=4.
Squaring 4,
4²=16.
So, now, since (x+4)²=x²+8x+16, you must solve for 26-16, which equals 10, which you would supplement into the equation.
So, therefore, (x+4)²+10.
I hope this has helped you. Enjoy your day.
The solution of the equation 2x - 7 = 3x - 12 is _____ Since it checks in the original equation, it is also a solution of
StartRoot 2x-7 EndRoot - StartRoot 3x - 12 EndRoot = 0.
Answer:
5
Step-by-step explanation:
2x-7=3x-12
2x-3x=-12+7
-x=-5
x=5
[tex] \sqrt{2x - 7} - \sqrt{3x - 12 } = 0 \\ \sqrt{10 - 7} - \sqrt{15 - 12} = 0 \\ \sqrt{3} - \sqrt{3} = 0[/tex]
In empty set, n (A) = ………
Answer:
answer is
In empty set, n(A) = { }.
Given the function f(x) = 3x - 1, explain how to find the average rate of change between x = 1 and x = 4.
Step-by-step explanation:
f(1) = 3×1 - 1 = 2
f(4) = 3×4 - 1 = 12-1 = 11
so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.
the average change rate is the total change across the x interval relative to the interval length.
that is
9/3 = 3
which is the slope (= the factor of x) in the line equation.
for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.
if the change rate would be different for different parts of the function, it would not be a straight line.
Answer:
3
Step-by-step explanation:
The average rate of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11
f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2
average rate of change = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
A factory used 99.19 kilograms of tomatoes to make 7 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?
Answer:
14.17 kilograms
Step-by-step explanation:
Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:
99.19/7
= 14.17
So, the factory put 14.17 kilograms of tomatoes in each batch.
Find the surface area of the figure round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
S.A. = (6 + 8 + 10) × 4 + 2(8 × 6) ÷ 2 = 144 mi²
what is square root of 49 over square root of 1250 simplified
im pretty sure its 0.19 because the sqyare root of 49 is 7. the square root of 1250 is 35.35
7/35.35=0.19
The area of a rectangular piece of cardboard is represented by
the equation w(2w + 3) = 9 where w is the width of the
cardboard in feet. Find the width.
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
[tex]A = wl[/tex]
w(2w + 3) = 9
From this, we get that:
[tex]l = 2w + 3, A = 9[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
[tex]w(2w+3) = 9[/tex]
[tex]2w^2 + 3w - 9 = 0[/tex]
Thus a quadratic equation with [tex]a = 2, b = 3, c = -9[/tex]
Then
[tex]\Delta = 3^2 - 4(2)(-9) = 81[/tex]
[tex]w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5[/tex]
[tex]w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3[/tex]
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at https://brainly.com/question/16995958
Which function is best represented by the graph in the image?
Answer:
No image I cannot tell you
Step-by-step explanation:
I need help ASAP PLEASEEE!
Answer:
The fourth number line is the answer.
Step-by-step explanation:
[tex] - 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10[/tex]
Help me please…………………….
Answer:
8.7
Step-by-step explanation:
If you like my answer mark me brainliest
0.6 reoccurring decimal as a fraction in the simplest term
[tex]\huge\mathsf\purple{ANSWER}:—[/tex]
[tex]0.6 = \frac{6}{10} = \frac{3}{5} [/tex]
hope it would be helpful for u0.6
[tex] \frac{6}{10} = \frac{3}{5} [/tex]
please mark this answer as brainlist
What is the equation of the following graph?
Answer:
y=0.5x + 5
Step-by-step explanation:
The points are (0,5) and (-10,0)
to find the slope do
0-5/-10-0 = 5/10 = 1/2 = 0.5
next plug one of the points into point slope formula
y-y1=m(x-x1)
lets use the point (-10,0)
y1=0
x1= -10
m= 0.5
y-0=0.5(x- -10)
y = 0.5(x+10)
distribute the 0.5
y=0.5x+5
