The answer is,
[tex]x > - 7[/tex]
hope it helps.
Answer:
x>-7
Step-by-step explanation:
4x-2x>-8-6
-2x>-14
x>-7
Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5
Answer:
x = 3 ± √5
Step-by-step explanation:
Given:
(x - 3)² = 5
Find:
Value of x
Computation:
(x - 3)² = 5
x² - 6x + 9 = 5
x² - 6x + 4 = 0
x = [-b ± √b² -4ac] / 2a
x = 3 ± √5
What is the measure of angle DFE?
Answer:
28
Step-by-step explanation:
its vertically opposite
Answer:
28
Step-by-step explanation:
Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees
2. Tyler is driving to visit his grandmother. It takes him 5 hours to travel 260 miles. How fast
was Tyler driving?
Answer:
52mph
Step-by-step explanation:
260/5
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2
Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]
[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]
[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]
[tex] = 330.45 - 109.72 [/tex]
[tex] = 220.7333 [/tex]
Answer: 221
Which line is the steepest:
A
B
C
D
plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?
Answer:
A. h = 64
B. t = 4 -> 4 seconds
C. t = 1.5 -> 1.5 seconds
D. maximum height is 100 ft
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
Step-by-step explanation:
h = -16t2 + vt + 64
A. What tower platform height was the projectile launched from?
when the projectile was not launched, t = 0
h = -16(0)^2 + v(0) + 64 = 64
B. How long was the projectile in the air?
if the projectile lands, its height = 0 so substitute 0 for h
0 = -16(t)^2 + 48(t) + 64
= -16(t^2 - 3t - 4)
= -16(t - 4)(t + 1)
t = 4 or t = -1
Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.
C. When did it reach its maximum height?
maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16
t = -48/-32 = 1.5
D. What was its maximum height?
plug t = 1.5 into -16(t)^2 + 48(t) + 64
-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
The maximum height is 100 feet at a time of about 1.5 seconds.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h = -16t² + vt + 64
-16t² + 48t + 64 = h
h is the height, v is the initial velocity and t is the time.
a) The tower height is about 64 feet from the equation
b) The time is at h = 0, hence:
-16t² + 48t + 64 = 0
t = 4 seconds
c) Maximum height is at h' = 0
h' = -32t + 48
-32t + 48 = 0
t = 1.5 seconds
d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet
Find out more on equation at: https://brainly.com/question/1214333
Is this non linear or linear sorry i couldn't fit the whole thing
Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis
What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
Given:
The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the segment AB in m:n. Then by using the section formula, we get
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]
[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]
Multiply both sides by 4.
[tex]3(m+n)=2(4m+n)[/tex]
[tex]3m+3n=8m+2n[/tex]
[tex]3n-2n=8m-3m[/tex]
[tex]n=5m[/tex]
It can be written as
[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]
[tex]1:5=m:n[/tex]
Therefore, the point P divides the line segment AB in 1:5.
find the area of the figure
Answer:
30 units
Step-by-step explanation:
The formula for finding the area of a triangle is 1/2b x h
So b = 12
and h = 5
1/2(12) = 6
6 x 5 = 30
I could be wrong here so
Here's a little tip:
I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code
Which expression is equivalent to 2(5 – 3x)? 10 - 5x B B) 10 - 6x 0 7 - 5x D) 7 - 6x
Answer:
B) 10-6x is the answer ...
can any one figure this out plz
Answer:
(a)(b)=0.45
a/b=0.8
Step-by-step explanation:
a=0.6
b=0.75
(a)(b)=(0.6)(0.75)=0.45
a/b=0.6/0.75=0.8
Answer:
a*b = 0.5
a/b = 0.888...
Step-by-step explanation:
0.6666... = 2/3
a*b = 2/3 * 3/4 = 1/2 = 0.5
a/b = (2/3) / (3/4) = 8/9 = 0.888...
What does the caste system stand for?
HELP PLSSSSSS
Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the
sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?
Which equation models this scenario?
12.57 + 10.95 = 89.22
10.95x + 12.57 =
89.22
12.57x + 10.95 =
89.22
89.22x - 10.95 = 12.57
Answer:
10.95x + 12.57 = 89.22
Step-by-step explanation:
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS
Answer:
x = 26°Step-by-step explanation:
The first two questions are answered here
https://brainly.com/question/21794653Question 3Use the equation for exterior angle
Exterior angle = sum of non-adjacent interior angles
5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26Answer:
x = 26° degrees the work bellow is correct i double checked it :)
Step-by-step explanation:
Evaluate 42 – a² + ab for a = 6 and b = 5.
Answer:
42-a²+ab
42-6²+6×5
42-36+30
6+30
36.
Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?
absolute value for |27 1/4|
Answer:
27 1/4
Step-by-step explanation:
How many ways can two students be chosen from a group of four?
4
6
14
10
Answer:
6
Step-by-step explanation:
What is the volume of the solid figure
Answer:
102 foot^3
Step-by-step explanation:
First, the box in the middle: 4x3x8=96
Then the 2 other boxes are: 2x(1x1x3)=6
6+96=102
Can you help me solve this problem please
Answer:
x = 4√3
Step-by-step explanation:
It's not letting me post, so refer to my explanation in the screenshot below:
a remote control car races straight down the street at 26 miles per hour. Two hours later, a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first care started, how many hours will it take thje second car to catch up to the first? What type of problem best exemplifies this question?
Answer:
4 hoursStep-by-step explanation:
Given
Speed of the first car = 26 mphSpeed of the second car = 52 mphTime difference = 2 hoursThe first car makes 2*26 = 52 miles before the second car starts racingLet the time the second car races before catching the first car be x
The equation:
26x + 52 = 52x52x - 26x = 5226x = 52x = 2It takes 2 hours for the second car to catch the first car.
It takes 2 + 2 = 4 hours from the moment the first car started the race.
The polynomial 4x2 - 16 is a difference of squares.
True
False
Help me and pls explain how you got the answer
Answer:
The length of the missing side is 8.5 ft
Step-by-step explanation:
To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.
[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]
Rounding to the first decimal place, we get c = 8.5ft
Where is the blue dot on the number line?
Convert 2.235 to the simplest fraction
Answer:
2 47/200
I don't know if is right, but that's what I got.
Help me please. Not much I understand here. Please guys?
Answer:
50.2cm
Step-by-step explanation:
16/sin(65)=17.65 (2 of those)
16/tan(65)=7.46 (base)
17.65+17.65+7.46=50.23
In 1989 the population of Arizona was 3,622,184. In 1999 the population was 4,778,332. What is the percent of change from 1989 to 1999?
Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?
Answer:
Michelle is taller for her gender
Step-by-step explanation:
Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.
As you read the graphs left to right, would the lines go up or down?
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?
Answer:
1. Down.
2. Clare's line would be higher because she begun further away from her house.
3. The lines would have the same slope since they are going the same speed.
Step-by-step explanation: