Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Then solution is x = - 10, x = 10
Answer:
10
Step-by-step explanation:
the guy on top put -10 he's right but it's just 10
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball
Answer:
7/12
Step-by-step explanation:
Total = 10W+14R
probability of red = R/total
10+14 = 24 so total = 24
R = 14
14/24
reduce (divide by two on the top and bottom)
14/2
-------
24/2
= 7/12
Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?
Answer:
32
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
1 minute = 60 seconds
LCM of 60 and 72 = 360
360 seconds = 6 minutes
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
PLEASE HELP ME!!!!! ( photo given )
Answer:
-6, 0
Step-by-step explanation:
since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.
the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0
y = 5x + 9 (-2, -3) pls help me
Answer:
Not a solution.
Step-by-step explanation:
y = 5x + 9
-3 = 5(-2) + 9
-3 = -10 + 9
-3 ≠ -1
The point given is not on the line. It is NOT a solution to the equation.
Hope this helps.
A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car's average acceleration.
Answer:
The average acceleration of the car will be 10 m/s.
Step-by-step explanation:
70 / 7 = 10 m/s.
Answer:
34.3 m/s/s
Step-by-step explanation:
Edmentum
nine workers are hired to seed a field by hand each is given a plot which is 11x7 feet in size what is the total area of the field
Answer:
693ft
Step-by-step explanation:
11x7=77
77x9=693
There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?
Answer:
1.22
Step-by-step explanation:
divide 8.54 by 7 to get one serving
5 square root 36^4=36 true or false
Answer:
false it 6480
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
36^1 = 36
5√36^4 ≠ 36
Câu này giải như thế nào ạ
Cos4x +√3 (1+2sin²x)=3-8sin²x
Answer:
We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.
Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.
Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.
of accumulated knowledge of the medicinal value of rainforest species. As their homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.
library has burned down.
When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.
Step-by-step explanation:
Please help me out . Find x please
Answer:
on my screen I cant see anything sorry!
Step-by-step explanation:
Need help with this final question.
The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?
Answer:
70km and 80km
The option you chose is correct
Answer:
70 km and 80 km.
First city:
[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]
Second city:
[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]
mathematics question
Answer:
it's option B the second one
SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.
Answer:
It's a combination, BUT...
Step-by-step explanation:
Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.
Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen
Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.
5C5 = (5!)/[5!(5-5)] = 1
But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.
Permutation Formula: nPr = (n!)/(n-r)!
nPr = (5!)/(5-5)! = 120
Well, this looks way more accurate now, right?
Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.
how many times are fives subtracted from 15 to get 0?
Answer:
3 times
I hope this will help you
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.
Answer:
B) 8in
Step-by-step explanation:
6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined
Answer:
B
Step-by-step explanation:
We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.
And we want to determine its axis of symmetry.
Recall that a parabola is symmetric about its axis of symmetry.
Therefore, the axis of symmetry is directly in the middle of the two roots.
Find the average of the roots:
[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]
Hence, the axis of symmetry is x = 2.
Our answer is B.
In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:
[tex]\displaystyle x = \frac{p+q}{2}[/tex]
help please! make sure to tell me the answer and an explanation!
Answer: 10
Step-by-step explanation:
So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.
Please make me brainliest
Find the area of a circle with radius, r = 6.48m. Give your answer rounded to 2 DP.
Answer:
Area = 131.9167322
Step-by-step explanation:
I'm not sure what 2 DP means so you will need to do that part.
area=pi*radius^2
area=3.14*42 (approx)
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)
write the equation for a parabola with a focus at (-3,-5) and a directix at x=-7
Answer:
y = -28x²
Step-by-step explanation:
[tex]{ \bf{ {y} = 4a {x}^{2} }} \\ { \tt{y = - 28 {x}^{2} }}[/tex]
Please help urgent!!! Find the value of x in the triangle shown below!
Answer:
Step-by-step explanation:
so we know a few things about t his triangle, it's a special one :P , it's called isosceles because two of the legs are the same length, which also mean that the angle x is the same at the other unknown angle sooo there are 2 x's if that makes sense? and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°
180 = 32 + 2x
148 = 2x
74 =x
∠x = 74°
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
PLEASE HELP ME HERE!!
Answer:
Step-by-step explanation:
(1). Maryam's answer is correct.
(2). x = 2
Which graph represents the compound inequality?
n<-2 or n24
-5 -4 -3 -2 -1 0
1
2
3
4 5
A++
-5 -4 -3 -2 -1
0
1
2
3
4 5
O
-5 4 -3 -2 -1 0 1
2
3 4 5
-5 4 -3 -2 -1
0
1
2
3
4
5
Answer:
The third graph is precise
Step-by-step explanation:
-2 > n ≥ 4
n<-2 or n≥4 compound inequality is represented in the third graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given inequality is n<-2 or n≥4
The third number line represents the inequality n<-2 or n≥4.
The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.
The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.
Hence, n<-2 or n≥4 compound inequality is represented in the third graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2
sing white and red paint, which two mixtures result in the same shade of pink?
Answer:
B & C
Step-by-step explanation:
Mixture B:
4 white 2 red
Mixture C:
Divide the whole paint combinations by 2:
2 white 1 red
In that case, you are simply making less, but still have the same ratios. They are proportionate.
Happy learning!
--Applepi101
2X(X+y) + 2y(3X-y)
Please help me
Answer:
2x^2 + 8xy - 2y^2
Step-by-step explanation:
2X(X+y) + 2y(3X-y)
2x^2 + 2xy + 6yx - 2y^2
2x^2 + 8xy - 2y^2
Simplify as far as possible;
x²+ 3x²-4x²+5x
Answer:
5x
Step-by-step explanation:
[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]
