Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.
Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6
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)
Pls help ASAPI don’t understand can you show steps too pls
Answer:
x = -2 , y = -1
(-2,-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
7075806785463087580370x98437532794395798243757934
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
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
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?????
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!
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
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)
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.
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
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
The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)
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:
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
3x+2x=20. What is the answer dor this equation.
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.
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
Simplfy the answer t-4t2/t2
Answer:
t - 16
Step-by-step explanation:
Hope this helps!! :))
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!
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
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)
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
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
ANSWER PROPERLY FOR BRAINLIEST OR ELSE I REPORT
Answer:
A: 0.3
B: 0.3
Step-by-step explanation:
Basically both answers are the same
si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
Answer:
90%
Step-by-step explanation:
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:
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:
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]