Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
[tex]y=-\frac{3}{5}x -3[/tex]
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
[tex]y+\frac{3}{5} x=-3[/tex]
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
[tex]5y+3x=-9[/tex]
I hope this helps! Please let me know if you have any questions :)
Type the number in standard form
4.21 x 10^4
Answer:
0.00042
Step-by-step explanation:
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
(1;3) ∈ g(x) ⇒ Only D is
Answer:
Step-by-step explanation:
a. step one
b.step two
c. step three
d. Keisha did not make a mistake.
Answer:
d. Keisha did not make a mistake
Step-by-step explanation:
3+(-4)-7
3+(-4)+(-7) adding negatives is the same as subtracting
3+(-11) -4 and -7 do make -11
-8 3 and -11 do make -8
So she did it correctly, which means d is the right answer.
:) ur welcome
Can someone help me with this, pleasee.
Answer:
i will say the first one cannot, the second one cannot and the third one can
Step-by-step explanation:
but i am not 100% sure sry
Is there any more info on this?
Step-by-step explanation:
.
please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou
Answer:
No, because the longest side is too short to be the hypotenuse of a right triangle.
Step-by-step explanation:
To see if the sides form a right triangle
6² + 8² = 9²
36 + 64 = 81
100 ≠ 81
The the 3rd side is too short
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac –8
Answer:
32
Step-by-step explanati
everyone knows that
Answer:
[tex]16[/tex]
Step-by-step explanation:
The discriminant of a quadratic in standard form [tex]ax^2+bx+c[/tex] is given by [tex]b^2-4ac[/tex].
The quadratic [tex]-3=-x^2+2x[/tex] in standard form is [tex]-x^2+2x+3[/tex]. Thus, we can assign the following values:
[tex]a[/tex] of -1[tex]b[/tex] of 2[tex]c[/tex] of 3Therefore, the discriminant of this quadratic is [tex]2^2-4(-1)(3)=4+12=\boxed{16}[/tex]
a rectangle is 12 feet long and 5 feet wide. if the length of the rectangle is increased by 25% and the width is decreased by 20% what is the change in the area of the rectangle
Answer:
60% decrease in area
Step-by-step explanation:
12 x5 == 60 sq feet (original area)
9 x 4 == 36 sq feet (new area)
36/60 = 6/10 = 60%
What is the approximate volume of the cylinder? Use 3.14 for π.
top of the cylinder is 9 bottom is 4
A. 324 cm3
B. 452.16 cm3
C. 734.76 cm3
D. 1,017.36 cm3
c. 734.76 cm3 espero que te sirva :)
Complete the equation of the line through (4,-8) and (8,5)
Answer:
y = 13/4x - 21
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-8) / 8 - 4
13/4
y = 13/4x + b
5 = 13/4(8) + b
5 = 26 + b
-21 = b
[tex]x^{2} -7x-18[/tex]
Answer:
(x - 9)(x + 2)
Step-by-step explanation:
x² - 7x - 18
x² + 2x - 9x - 18
x(x + 2) - 9(x + 2)
(x - 9)(x + 2)
Describe the interval shown using an inequality, set notation, and interval notation. (Picture attached!) Thank you!
Answer:
inequality: x > -3
Set notation: {x: x> -3}
Interval notation: [-3, ∞)
The interval can be described as inequality is x>-3, the set notation is {x: x>-3}, and the interval notation is [-3, α).
Which numbers can be shown on a number line?The positive, negative, whole, and rational numbers can be mark on a number line. Numbers appearing on the right side of 0 are positive, and those reflected on the left side are negative.
The thick line on the picture starts at -3 and tends towards positive infinity. So, it can be represented as inequality by x>-3.
The set notation can be described for x-axis elements since it is a line. The elements greater than -3 are present in it. So it can represented as {x :x> -3}.
The interval ranges from -3 to positive infinity; hence, it can be represented as [-3,α).
So we can conclude that the interval can be represented by an inequality as x > -3, the set notation contains elements greater than -3, and the interval ranges from -3 to positive infinity.
To learn more about number line, use the link given below:
https://brainly.com/question/13189025
#SPJ2
Find the percent change. Round to the nearest tenth of a percent when necessary. Indicate if the percent
change is an increase or decrease.
From 50 to 94.
46.8% derease
46.8% increase
88% derease
88% increase
Answer: 88% increase
Find the slope of the line that contains
the points (3, 2) and (-3, 8).
Answer:
-1
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( 8 - 2)/( -3 -3)
= 6 / -6
= -1
Please Help me need help
Answer:
-1 * (x/y)
Step-by-step explanation:
-x/y = x /-y
Factor out the negative
-(x/y) = -(x/y)
This is equal to -1 * (x/y)
cuanto es el p (x)-s(x)-q(x)
Answer:
sorry no answer
I apologize
can you construct a polygon with angles measures of 60, 60, and 62 degrees? explain your reasoning. ILL GIVE BRAINLIEST
Answer:
No
Step-by-step explanation:
Given 3 angles, the shape is a triangle.
The sum of all angles in a triangle = 180°
60° + 62° + 60° = 182°
Since it doesn't equal to 180°, it can't form a polygon
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
the diagram of g||h, with transversal f,
Can someone please help me figure this out. (y-6)+8 y=13
Hi can someone help me
Answer:
D. The average time spent is 11 average.
Step-by-step explanation:
The mean is the average. The average time spent is 11 average.
In 1950, Alaska had a population of 138:643. By 1970, the population increased by
168,539. What was the 1970 population? (Write the operation and answer ) no links
Question 9 of 25
Identify the type of function represented by +(*)-7.(3)*
O A. Exponential growth
B. Increasing linear
C. Decreasing linear
Ο Ο
D. Exponential decay
SUBMIT
p+q/2; use p=1, and q=-1
Answer:
0
Step-by-step explanation:
Plug p and q in
1+-1/2
0/2
0
If this helps please mark as brainliest
Answer:
see below
Step-by-step explanation:
p+q/2
If
p + q/2
1 + -1/2
1/2
If (p+q)/2
(1-1)/2
0
Which solution finds the value of x in the triangle below?
Need help ASAP I will give 20 points please
Answer:
Step-by-step explanation:
volume of cylinder=πr^2h
=3.14*4=2^2*6
=4=3.14*4*6
=3.14*24
=75.36
=75.4 inches ^3
=
The range of the data: 6,14,20,16,6,5,4,18,25,15, and 5 is
a. 4
b. 21
c. 25
d. 20
Answer:
21
Step-by-step explanation:
Range is the largest value minus the smallest value
25 is the largest value
4 is the smallest value
25-4 =21
Answer:
b. 21
Step-by-step explanation:
biggest number - smallest number
25 - 4 = 21
if you solve this ..
u are not human being .
Answer:
I have not solved
Step-by-step explanation:
I am human being sonI didn't answer
Mark me as brainliest
solve the pair of simultaneous equations 2x+1y=7 1x-2x=1
Step-by-step explanation:
which which equation you want me to use it to x + y is equal to 7 or 1 x - 2 xis equal to 1
Which expression will simplify (3a + 6) (7a - 2)?
Answer:
63a + 6
Step-by-step explanation:
we have to first simplify this
(3a+6)(7a-2)
21a-6+42a+12
63a+6
Answer:
Step-by-step explanation:
Use FOIL method
(3a+ 6)(7a - 2) = 3a* 7a + (3a)*(-2) + 6*7a + 6*(-2)
= 21a² - 6a + 42a - 12 {Combine like terms}
= 21a² + 36a - 12
Solve the following trigonometric equation over the interval of [0,2π). Show your work, thank you!
[tex] \large{2sin \theta tan \theta = - 3}[/tex]
Answer:
[tex] \rm \displaystyle \theta = \{ {150}^{ \circ} , {240}^{ \circ} \}[/tex]
Step-by-step explanation:
we would like to solve the following equation:
[tex] \displaystyle 2 \sin( \theta) \tan( \theta) = - 3[/tex]
to do so we need to put the equation in term of a function of a angle therefore rewrite tanθ:
[tex] \displaystyle 2 \sin( \theta) \cdot \frac{ \sin( \theta) }{ \cos( \theta) } = - 3[/tex]
simplify multiplication:
[tex] \displaystyle \frac{ 2\sin^{2} ( \theta) }{ \cos( \theta) } = - 3[/tex]
cross multiplication:
[tex] \displaystyle 2\sin^{2} ( \theta) = - 3 \cos( \theta) [/tex]
isolate -3cosθ to left hand side and change its sign:
[tex] \displaystyle 2\sin^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]
well we can rewrite sin²θ by applying Pythagorean theorem and that yields:
[tex] \rm \displaystyle 2(1 - \cos^{2} ( \theta)) + 3 \cos( \theta) = 0[/tex]
distribute:
[tex] \rm \displaystyle 2 - 2\cos^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]
now notice that our equation ended up with a pattern and that is Quadratic thus by letting cosθ be x to transform the equation:
[tex] \rm \displaystyle 2 - 2 {x}^{2} + 3 x = 0[/tex]
rearrange it to standard form:
[tex] \rm \displaystyle - 2 {x}^{2} + 3 x + 2 = 0[/tex]
divide both sides by -1:
[tex] \rm \displaystyle 2 {x}^{2} - 3 x - 2 = 0[/tex]
well we can factor the quadratic to do so rewrite -3x as -4x+x:
[tex] \rm \displaystyle 2 {x}^{2} - 4 x + x - 2 = 0[/tex]
factor out 2x:
[tex] \rm \displaystyle 2x ({x}^{} - 2)+ x - 2 = 0[/tex]
factor out 1:
[tex] \rm \displaystyle 2x ({x}^{} - 2)+ 1(x - 2 ) = 0[/tex]
group:
[tex] \rm \displaystyle (2x + 1)(x - 2 ) = 0[/tex]
by Zero Product property we obtain:
[tex] \rm \displaystyle \begin{cases} 2x + 1 = 0\\ x - 2 = 0 \end{cases}[/tex]
cancel 1 from the first equation and add 2 to the e equation:
[tex] \rm \displaystyle \begin{cases} 2x = - 1\\ x = 2\end{cases}[/tex]
substitute back:
[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) = 2\end{cases}[/tex]
since cosθ is only defined for the interval [1,-1] the second equation is false for any value of θ but we can still continue the first equation
[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) \neq 2\end{cases}[/tex]
divide both sides by 2:
[tex] \rm \displaystyle \cos( \theta) = \frac{ - 1} {2}[/tex]
by unit circle we acquire:
[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]
add period of 2nπ:
[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2n\pi\\ \theta = {240}^{ \circ} + 2n\pi \end{cases}[/tex]
for the interval [0,2π) θ is only defined when n is 0 Thus:
[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2(0)\pi\\ \theta = {240}^{ \circ} + 2(0)\pi \end{cases}[/tex]
simplify:
[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]
hence,
θ is equal to 150° and 240°
The (blank) of the following set of data is 6.
13, 7, 9, 5, 2, 3, 5, 4, 10, 12
A. Mode
B. Mean
C. Median
D. Range
PLZ HELP
Answer: Median!
Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php
Answer:
Firstly arrange the numbers in order then cancel from the beginning numbers to end numbers then middle one is the answer