Answer:56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
please help! the approximate path of a projectile launched from 100 m above the ground is given by f(×)= -5×^2+40+100, where f(×) represents the height × seconds after it is released into the air. use the info to answer the questions below. 1. what is the factored form of the equation? 2 how long will it take the projectile to reach the ground?
Answer:
Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2) After 10 seconds.
Step-by-step explanation:
We have the function:
[tex]f(x)=-5x^2+40x+100[/tex]
Where f(x) represents the height x seconds after it is released into the air.
Part 1)
First, let's distribute a -5 out of the function:
[tex]f(x)=-5(x^2-8x-20)[/tex]
Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.
We can use -10 and 2. So:
[tex]f(x)=-5(x^2+2x-10x-20)[/tex]
Factor:
[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]
Hence, our factored form is:
[tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2)
We want to find after how many seconds does it take for the projectile to reach the ground.
If it reaches the ground, the height above the ground, f(x), will be 0.
So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:
[tex]0=-5(x-10)(x+2)[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x+2=0[/tex]
Solve for x:
[tex]x=10 \text{ or } x=-2[/tex]
Since x measures time, -2 does not make sense in this context.
Therefore, our solution is x=10.
So, after 10 seconds, the projectile will hit the ground.
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
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PLEASEEEEE HELP ASAPPPPP
Answer:
Number 2, or {(0,1),(1,-3),(2,-5),(3,-7)(4,-9)}
Explanation:
Every x-value matches to exactly one y-value, which is the definition of a function.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y= 2 - 6
Line 2: 3 - 2y = -1
Line 3: y = 4x + 6
Line 4: y+3= 1 (2-6)
Answer:
lines 1 and 4
Step-by-step explanation:
they are both horizontal lines because when solved equal a number without an x so they is no slope so they are horizontal and have the same slope which means they are parallel to each other
2 = 2(m − 8) − 2
m =
I think of a number i halve it then subtract four
Answer:
x/2-4
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0
Write the slope-intercept form of the equation of the line whose slope = -1 and y-intercept = 5.
Answer:
ask your mom for the answer
Step-by-step explanation:
thank me later
Answer: y= -1x+ 5
Step-by-step explanation:
Y = slope x + y- intercept
Which of the following sequences is not a geometric sequence?
50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …
Step-by-step explanation:
the third sequence(0,2,4,6) is not a geometrical sequence
this may help you(:
Answer:
0, 2, 4, 6, … because the following sequence is arithmetic not geometric
$330 is 12% less than the cost last year. Calculate the cost last year.
Answer:
just look that up and walla insta answer
Karsyn is getting ready for her date. She has 20 outfits to choose from. Half of her
clothes are dirty. Her mom washed 3 more outfits, how many outfits would Karsyn have
had to choose from if she did her laundry?
Identify the variable:
Write the equation:
How many outfits did she have?
4x = 7 [x3] help meh
Answer:
x = 0
Step-by-step explanation:
4x = 7(3x)
4x = 21x
-4x -4x
17x = 0
Para la reforestación de un terreno por parcela se compraron 150 arboles de cedro y 210 arboles de guayacán para sembrarlos de tal forma que en cada parcela quede la misma cantidad de arboles de cada tipo ¿Cuál es el mayor numero de parcelas? ¿Cuántos arboles de cedro y cuantos arboles de guayaca se sembrar en cada parcela?
Answer:
a) 30 parcelas
b) Para árboles de cedro: 5 por parcela
Para árboles de Guayacán: 7 por parcela
Step-by-step explanation:
a) ¿Cuál es el mayor número de parcelas?
De la pregunta tenemos:
150 árboles de cedro y 210 árboles de guayacán
Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.
Encontramos los factores de 150 y 210
Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Entonces el máximo común divisor es 30.
Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.
b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?
Para cedros
Tenemos 150 árboles de cedro
Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ 30 = 5 árboles de cedro por lote
Para los árboles de Guayacán
Tenemos 210 árboles de Guayacán
Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote
Andrea bought tacos from a food truck and left 25% tip of $2.00. What was the price of Andreas tacos, before tip?
Answer:
$8
Step-by-step explanation:
25% is .25, also known as 1/4. So if you think of it that way, $2 is 1/4 of the entire payment that was added to it. 2*4 is 8, so the price of the tacos was $8 before any tip was added. Andrea paid $10 in total if you include the tip.
Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.
Step-by-step explanation:
The question is not well written. Let us say the function given as expressed as;
f(x) = -1/x + 3/x⁴
f'(x) means we are to differentiate the function with respect to x;
Given f(x) = axⁿ
f'(x) = naxⁿ⁻¹
f(x) = -x⁻¹ + 3x⁻⁴
Applying the differentiation formula we will have;
f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹
f'(x) = x⁻²-12x⁻⁵
Express as a fraction
f'(x) = 1/x²-12/x⁵
To get f'(4), we will have to substitute x = 4 into the resulting expression
f'(4) = 1/4²-12/4(5)
f'(4) = 1/16-12/20
f'(4) = 1/16-3/5
Find the LCM
f'(4) = (5-48)/80
f'(4) = -43/80
Note that the function used was assumed but the same method can be employed to any other functions.
Pls answer these and show work plss
Answer:
25x
Step-by-step explanation:
i will give u brianliest
Answer:
1: [tex]3[/tex]×[tex]2[/tex]
2: [tex]y^6[/tex]
Step-by-step explanation:
1:
Multiply the numbers: [tex]y(^3^*^2)[/tex]
[tex]3*2 = 6[/tex]
Write it without exponents:
[tex]y * y * y * y *y *y[/tex] so [tex]6y[/tex].
2:
[tex](y^3)^2[/tex]
Apply exponent rule : [tex](a^b)^c=a^b^c,[/tex] assuming [tex]a\geq 0[/tex]
[tex](y^3)^2=y^3^*^2[/tex]
[tex]=y^3^*^2[/tex]
Multiply the numbers: [tex]3 * 2 = 6[/tex]
[tex]= y^6[/tex]
Hope I helped! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
The answer would be B=-8>80
Step-by-step explanation:
What is the slope of the line that passes through
(−2, 3) and (5, −6)
a.-1/2
b.−1
c.-9/7
d. I don't know.
Start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
m = -6 - 3 / 5 - -2
m = -9 / 7
So the slope is -9/7.
I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it the question is Malia bought 14 cans of cat food. Each can weigh 8 ounces. How many total ounces of cat food did she buy?
Answer:
112 ounces
Step-by-step explanation:
Malia bought 14 cans of cat food
Each of the can weighs 8 ounces
Therefore the total ounces of cat food bought can be calculated as follows
= 14×8
= 112 ounces
The table and graph show the miles driven and gas used for two scooters.
Answer:
B
Step-by-step explanation:
Equation of A is
y = 0.0105x
Equation of B is
y = 0.01
B is smaller than A
I will try to give the first one Brainlyest plz answer
Answer:
B
Step-by-step explanation:
Which of the following is the solution of the system of equations shown
Answer:
(3,-4)
Step-by-step explanation:
because the two lines meet at that point.
You buy a shirt for $19.95 and a pair of shorts for $35.95. Shirts are on sale for 25% off and shorts are on sale for 30% off. What would you pay for the shirt and shorts after the discount?
Discount on shirt, [tex]D_s = 19.95\times 0.25=\$4.9875[/tex] .
So, Price payed for shirt is :
[tex]P=P_s-D_s\\\\P=19.95 - 4.9875\\\\P=\$14.9625[/tex]
Discount on shorts, [tex]D_{sh}=35.95\times 0.30=\$10.785[/tex]
Discounted price :
[tex]P=P_{sh}-D_{sh}\\\\P=35.95-10.785\\\\P=\$25.165[/tex]
Therefore, discounted price of shirt and shorts are $14.9625 and $25.165.
Hence, this is the required solution.
Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?
Answer:x = 0.028571 cm3
Step-by-step explanation:
I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?
So, let x be the volume in cubit centimeters.
the mass is to the volume is as the mass is to the volume
3.5g /(1 cm3) = 0,1g / (x cm3)
Cross-multiply to get:
3.5x = 0.1
x = 0.1 / 3.5 (divide both sides by 3.5)
x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)
If you go on this question at all you are a republican and that is good
Answer: hahshejehdbddndb
Step-by-step explanation:
Answer:
you chose poison thanks for the points payback
Step-by-step explanation:
don't do this to people
its rude and people actualy need help not free points
Nicole is using a ¾ cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil?
Answer:
12 times
Step-by-step explanation:
Given that :
Amount of potting soil in bag = 9 cups
Size of scooping cup = 3/4 cup
The number of times scooping will be done to use entire bag of potting soil will be ;
(Amount of potting soil in bag ÷ size of scooping cup)
(9 ÷ 3/4)
9/ 1 * 4/3
= 36/3
= 12 times
Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.
Find the measure of angle 3.
Answer:
112 degrees
Step-by-step explanation:
In this case, the two angles are considered alternating exterior angles, which signifies that they are equal
A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
a,d,e
Step-by-step explanation:
I took the question
Answer:
A D E
Step-by-step explanation:
Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.
PLEAE HELP ME AND ANSWER CHOICES ABOVE!!
Answer: D. 5 > x > 1
1 < 3x -2 < 13
<=> 3 < 3x < 15
<=> 1< x < 5
Step-by-step explanation:
x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 1 < 3x-2 < 13
One less than three times of x minus two less than thirteen.
We need to find the solution of the inequality.
Let us divide the given inequality into two parts
3x-2>1 and 3x-2<13
For first inequality
3x-2>1
3x>3
x>1
and the second inequality 3x-2<13
3x<15
x<5
Hence, x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
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Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?
Answer: 4
Step-by-step explanation:
Alice ride her bicycle in 1 day for a distance of 4 miles.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Alice rode her bicycle the same number of miles every day for 17 days.
Let x be the number of miles that Alice rode for 1 day.
She rode x miles for 17 days.
Total number of miles that she rode in 17 days = 68 miles
So, we have,
17x = 68
Dividing both sides by 17,
x = 4
Hence the number of miles Alice rode in 1 day is 4 miles.
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