Answer:
y = -3/2x -2
Step-by-step explanation:
Solve for y:
y +5 = -3/2x +3 . . . . . eliminate parentheses
y = -3/2x -2 . . . . . . . . subtract 5
The slope-intercept form of the equation is ...
y = -3/2x -2
Answer:
[tex]y = -\frac{3}{2} x -2[/tex]
Step-by-step explanation:
[tex]y+5=-\frac{3}{2} (x-2)[/tex]
The slope-intercept form is [tex]y =mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.
[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]
[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]
[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]
Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% more than the manufacturer's purchase price of a new drone. write a function to determine the total amount a customer saves if they purchase a used drone rather than a new drone from Jim's store. let x represent the manufacturer's purchase price of the drone
The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
[tex]\mathbf{Used = 70\% \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{Used = 0.7 \times x}[/tex]
[tex]\mathbf{Used = 0.7x}[/tex]
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
[tex]\mathbf{New= (1 + 15\%) \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{New= (1 + 0.15) \times x}[/tex]
[tex]\mathbf{New= 1.15 \times x}[/tex]
[tex]\mathbf{New= 1.15x}[/tex]
The amount saved is the difference between the prices of the drones.
So, we have:
[tex]\mathbf{Saved =New - Old}[/tex]
This gives
[tex]\mathbf{Saved =1.15x- 0.7x}[/tex]
Subtract
[tex]\mathbf{Saved =0.45x}[/tex]
Express as a function
[tex]\mathbf{f(x) = 0.45x}[/tex]
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
https://brainly.com/question/13114933
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
https://brainly.com/question/14550522
The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
brainly.com/question/14550522
#SPJ4
si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
Answer:
90%
Step-by-step explanation:
learnt this topic a while ago and somehow completely forgot could someone explain?
Answer:
99.5
Step-by-step explanation:
in right angle triangle
sin x = opposite side / hypotenuse
sin 34 = x / 178
x = sin 34 * 178
= 99.5
math need helps i will brainliest
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)
Answer:
Circumference = 31.4 feet
Area= 78.5 sq. feet.
Step-by-step explanation:
brainliest please?????
which expressions are equivalent to 4 (4a + 5)
choose 3 answers
A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4
Answer:
B 16a + 20
Step-by-step explanation:
4(4a + 5) = 4 times 4a + 4 times 5
= 16a + 20
Hello.My question is......what are my chances of rolling a 4 when i throw a dice if i rollo it two times?
Answer:
Step-by-step explanation:
3
Answer:
1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4
Step-by-step explanation:
Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2
Answer:
A. is the correct answer
Step-by-step explanation:
Stay safe.
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t-7
How fast did Mr. Mole descend?
___ meters per minute
7075806785463087580370x98437532794395798243757934
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.
Answer:
first one is yellow
Step-by-step explanation:
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!
Solve the quadratic equation 2x + x-7 = 0
Give your answers to 2 decimal places.
[tex]\text{Its not a quadratic equation but the answer is 2.33}[/tex]
The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)
factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)
Answer:
Below.
Step-by-step explanation:
a) 5x-x² = x(5 - x).
b) x²-6x-27 = (x - 9)(x + 3).
c) x²+x-56 = (x - 7)(x + 8).
d) x³+8 = (x + 2)(x^2 - 2x + 4)
e) 3x⁴-54t = 3(x^4 - 18t)
f) x²+3x-10 = (x - 2)(x + 5)
g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)
h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)
Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.
It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.
Let
[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]
we want to calculate the value [tex]t_h+t_y[/tex]
First, we have to calculate [tex]t_h[/tex] using the formula
[tex]v=u+at[/tex]
using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)
[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]
To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula
[tex]h=ut+\frac{1}{2}at^2[/tex]
and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)
[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]
since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship
[tex]h=y+3[/tex]
so that
[tex]y=h-3\\=3.2-3\\=0.2m[/tex]
we can now calculate [tex]t_y[/tex];
[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]
taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)
[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]
So it would take
[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]
for Carol to catch the sweet after Dave threw it from the first floor.
Learn more here: https://brainly.com/question/84352
3x+2x=20. What is the answer dor this equation.
tatiana had $350. she spent $180 on herself ad the rest on presents for her family.writ an equation to express how much tatiana spent on her family.
Answer:
$350 - $180 = $170
$180 = T
$170 = F
T = Tatiana
F = Family
Step-by-step explanation:
Answer:
Equation to express how much Tatiana spent on her family
= $(350-180)
how to write the ration 4.5 : 2.25 in the form n:1
Answer:
2:1
Step-by-step explanation:
Change the ratio to a fraction
4.5/2.25
Simplifying it gives us
2/1
Change back to ratio form
2:1
what is the coefficient of the first term in the expression 8x+3y+4
a: y
b: 3
c: x
d: 8
Answer:
d
Step-by-step explanation:
the first term is 8x. 8 is the coefficient and x is the base. so the answer is 8.
Help plz. I think the starting number is 100% Buu I don't know.
Answer:
19%
Step-by-step explanation:
if the starting number is 100 then 100 decreased by 10% is 100 times 0.9 =90
and decrease 10% again is 81 and in total decrease by 19%
The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
Sketch the graph of each line by identifying the x-and y-intercepts.
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
How would you rewrite -5 - (-8) as an addition problem?
Answer:
if there are 2 negatives by each other it would become a postive so -5+8
Step-by-step explanation:
Answer:
-5+8
Step-by-step explanation:
minus a negative is equivalent to plus a positive
What fraction of 1 km is 725 m?
Answer:
It is 725/1000.
Step-by-step explanation:
The fraction can be simplified but that will result in a loss of information about its accuracy.
have a great day!
fill in the missing terms and identify whether it is arithmetic, geometric, or fibonacci,
Answer:
hello are you a Latina hola como estas soy niña
if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
-10
Step-by-step explanation:
The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.
[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]
-10 (x) should be the input number.
Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)