Solve the following system algebraically.
y = x2 +x
y = -x - 1
A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)
Answer:
B
Step-by-step explanation:
-x - 1 = x^2 + x
x^2 + 2x + 1 = 0
(x+1)(x+1) = 0
x = -1 (double soution)
y = 1-1 =
y =0
(-1,0) = double solution
A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?
Answer:
t = 4 seconds
Step-by-step explanation:
The height of a soccer ball as a function of time is given by :
[tex]h(t)=-16t^2+48t+64[/tex]
We need to find the time when the ball hit the ground i.e. h = 0
Put h = 0 in above equation. So,
[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]
It is a quadratic equation such that,
t = -1 s and t = 4 s
Neglecting -1 s, the ball will hit the ground after 4 seconds.
Please solve these two questions!
A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answer:
3
Step-by-step explanation:
PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED
Answer:
- 13
Step-by-step explanation:
[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]
Find the slope mathematics
Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing
Answer:
(-∞,0)
Step-by-step explanation:
The graph of ƒ(x) = |x| is below.
The function is decreasing on (-∞,0) .
A is wrong. The function both decreases and increases on (-∞,∞).
C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.
D is wrong. the function is increasing on (o,∞)
If 2/3x -1 = 4, then x=
Answer:
15/2
Step-by-step explanation:
2/3x-1=4
2/3x=4+1
2/3x=5
x=5/(2/3)
x=(5/1)(3/2)
x=15/2
I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before
Answer: 6 pounds
Step-by-step explanation:
Answer:
The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.
Step-by-step explanation:
how do i do this? i don’t know how
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 together to equal 180:
X + 2x + x+ 14 = 180
Combine like terms:
4x + 14 = 180
Subtract 14 from both sides:
4x = 166
Divide both sides by 4
X = 41.5
Answer:
Fraction form: x = 83/2
Decimal form: x = 41.5
Step-by-step explanation:
The 3 angles inside the triangle will always add up to 180 degrees.
So that gives us the equation:
x + 14 + x + 2x = 180
Combine like terms:
4x + 14 = 180
Subtract on both sides:
4x = 166
Divide:
41.5
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
you roll a six sided die two times. What is the probability of rolling a 4 then rolling a 2?
Answer: 1/36
Step-by-step explanation:
Rolling a 4: 1/6 (one favorable outcome, six possible outcomes)
Rolling a 2: 1/6 (one favorable outcome, six possible outcomes)
1/6*1/6 = 1/36
Find the circumference use 3.14 for pie
Answer:
31.4 is the answer......
Step-by-step explanation:
d=2×r2×510cmcircumference=πd
3.14×1031.4 cmstay safe healthy and happy.The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
i think this question answer is 734.76cm^3
You transform the point (-8, 4) by rotating it 180 degrees
around the origin. What are the coordinates of the new
point?
Answer:
(8 , -4)
Step-by-step explanation:
____________________
The new coordinate after rotating it 180 degrees around the origin will be;
⇒ (8, - 4)
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The point is,
(- 8, 4)
And, It rotating it 180 degrees around the origin.
Now,
The rule of the transformation to rotating it 180 degrees around the origin is;
(x, y) ⇒ (- x, - y)
Thus, The new point after rotating it 180 degrees around the origin is,
(- 8, 4) = (8, - 4)
Therefore, The new coordinate after rotating it 180 degrees around the origin will be;
⇒ (8, - 4)
Learn more about the translation visit:
https://brainly.com/question/12861087
#SPJ2
There are 4 consecutive integers that sum to 394. What is the least of these integers?
Answer: 97
Step-by-step explanation:
394 / 4 = 98.5, so the 4 numbers must be around 98.5.
97 + 98 + 99 + 100 = 394
Can someone answer this please
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
x = 15, x = 5; (0.75)
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
Find the common ratio of the geometrie sequence 6, 24, 96,
Answer:
4
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
24/6 = 4
Check by taking the third term and dividing by the second term
96/24 = 4
The common ratio is 4
Pls pls helppp I’ll mark you brainliestttt
Which two teams have the same ratio of wins to losses?
Answer:
Lightning and Eagles
Step-by-step explanation:
14:7 can be rewritten as 2:1 (Factor out 7)
12:6 can be rewitten as 2:1 (Factor out 6)
Both are 2:1
-- Gage Millar, Algebra 2 Tutor
Answer:
D.
Step-by-step explanation:
when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning
Find the surface area of the rectangular prism
the sum of 2 numbers is 18 while the product is -63. find the numbers.
Answer:
Step-by-step explanation:
let the numbers be x and y,then
x+y=18
x=18-y
also xy=-63
(18-y)y=-63
18y-y²=-63
y²-18y-63=0
y²-21y+3y-63=0
y(y-21)+3(y-21)=0
(y-21)(y+3)=0
y=21,-3
when y=21
x=18-21=-3
when y=-3
x=18-(-3)=18+3=21
so numbers are -3 and 21.
Work out the mean for the data set below: 504, 508
Answer:
504 + 508 = 1012
Mean = 506
Step-by-step explanation:
Help PLZZ no files
Bobby wants to determine the most popular snack for the students at his school.
Which question would be the BEST question to get statistical data?
А
What is your favorite snack food?
B
Will you eat a snack after school today?
С
Do you eat more than one snack a day?
D
Would you rather have chips or cookies for a snack?
Answer:
A. What Is your favorite snack food?
3.(-48)÷ 48=_____ class 7th Chapter integer
Answer:
3. (-48) devide 48 = -1 class 7th Chapter integer
The answer is : -1
# GOOD LUCKHow much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.
Answer: 100
Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.
Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation? K M F. (x, y) = (-y, x)
G. (x, y) = (-x. -Y)
H. (x, y) = (y, -x)
J. (x,y) → (-x, y) c
Answer:
F. (x, y) = (-y, x)
Step-by-step explanation:
270º clockwise transformation:
The 270° clockwise transformation of a point (x,y) is:
(x,y) -> (-y,x)
Thus, as we just apply the rule in this conceptual question, the correct answer is given by:
F. (x, y) = (-y, x)
what is the value of x ?
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19