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Related Questions
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
Let variable a be a real number. Find the range of values of a such that the equation f(x) = g(x) has two different solutions.
***The answer should be -2 < a < 4, but I don't know why.
Answers
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
f(x) = g(x)
x² + 2ax + a² - a = 4 - x²
2x²+2ax+a²-a -4 =0
the equation has two different solutions
=> (2a)² - 4(2)(a²-a-4) > 0
4a²-8a²+8a +32 >0
-4a²+8a+32 > 0
a²-2a-8 >0
(a-4)(a+2) < 0
the answer should be
-2 < a < 4
Please help me help please help
Answers
Answer:
-2
Step-by-step explanation:
2/(-1) = -2
rise is 2
run is -1 ( to the left)
8.) Sophia counter offered with $35,000 for 25% of her company, How much does
she think her company worth? (Hint, Use a proportion to find what 100% of her
company is worth)
% 25%-100%
$ 35,000
Answers
Answer: $ 140,000
Step-by-step explanation:
In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry
Answers
find the slope of (-1,3) and (-5,7)
Answers
Answer:
-4/4 = -1
Step-by-step explanation:
yeah-ya...... right?
Question 3 of 10 Classify the following triangle. Check all that apply. 70° 15.8 8 80" 30 15 O A. Equilateral B. Obtuse C. Isosceles D. Right E. Acute F. Scalene
Answers
Answer:
the answer F or D
Step-by-step explanation:
21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)
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Using a quadratic equation according to the area of the rectangular mat, it is found that:
At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:[tex]lw = 714[/tex]
[tex](25 + 4x)(21 + 2x) = 714[/tex]
[tex]8x^2 + 134x + 525 = 714[/tex]
[tex]8x^2 + 134x - 189 = 0[/tex]
Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].
The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.
[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]
[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]
[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]
We are interest in the positive value of x, so x = 0.654.
At the top and bottom of the painting, the width is of 0.654 inches.[tex]2(0.654) = 1.308[/tex]
At the left and right of the painting, the width is of 1.308 inches.A similar problem is given at https://brainly.com/question/14099239
What is the answer to 0.2x10=
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0.2 × 10 = 2
u can check a calculator
I am stuck, please help
Answers
Answer:
2323
Step-by-step explanation:
Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.
The question says there are 23 classes and each class is to collect 101 items.
The equation would be 23 x 101.
To do this in your head real quick, make the numbers easier to multiply.
Make the 101 items 100. That means you are telling each class to collect 1 less item or 23 less items total.
You can do this in your head real quick. 23 classes collecting 100 items is 2300 items.
You had each class collect 100 items instead of 101. That mean you didn't collect 23 items. So if you add those back in, you will get
2323 items.
Ms Patel took 3 hours and 30 minutes to drive a distance of 140 miles
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Answer:
1.5 miles per hour
Step-by-step explanation:
3 hour and 30 minutes is equal to 210 minutes
then you divide the minutes by the miles and that give you 1.5 miles per hour
What is 3/7÷2/7
Also 3/4÷5/6
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Answer:
3/7 ÷ 2/7 = 3/2
3/4÷5/6 = 9/10
Step-by-step explanation:
The key rule to understanding how to divide fractions is...
KEEP SWITCH FLIP!!!
Basically, you keep the first fraction, switch the sign from division to multiplication, and flip the other fraction...
Here's how you would go about this:
3/7÷2/7
Keep 3/7 and switch ÷ to multiplication
3/7 · 2/7
Now flip 2/7 so it becomes 7/2
3/7 · 7/2
Now multiply across!
3 · 7 = 21
7 · 2 = 14
You get 21/14...but don't forget to simplify!! Divide 21 and 14 by 7 to get 3/2!
And now...for 3/4 ÷ 5/6, you do the exact same thing!
Keep...3/4
Switch... ÷
Flip...5/6
And you should get:
3/4 · 6/5
Multiply across...
= 18/20
Simplify!
= 9/10
I hope this helps clarify any confusion you may have had!
Answer:
1 1/2 and 5/8
Step-by-step explanation:
problem 1
3/7 divided by 2/7
flip 2nd fraction then multiply is formula
so 3/7 times 7/2 which is 21/14 which is 1 7/14 simplify to 1 1/2
2
so 3/4 times 5/6 remeber formula
3/4 times 6/5
18/20 multiply numerators and denominators
you could also answer as 0.9
Suppose that the relation T is defined as follows.
T={(2, 2), (1, -7), (-5, 3), (3, 0)}
Give the domain and range of T.
Write your answers using set notation.
domain =
range =
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PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answers
Answer:
[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]
Answer:
option D is the right answer
please mark this answer as brainlist
Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1
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The only set of side lengths that can form a triangle is 9, 4, 8.
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check if each of the given sets of side lengths satisfies this condition:
A.
9, 4, 8
9 + 4 > 8 ✓
9 + 8 > 4 ✓
4 + 8 > 9 ✓
All three inequalities are true, so these side lengths can form a triangle.
B.
14, 7, 6
14 + 7 > 6 ✓
14 + 6 > 7 ✓
7 + 6 > 14 ✗
The last inequality is false, so these side lengths cannot form a triangle.
C.
3, 8, 1
3 + 8 > 1 ✓
3 + 1 > 8 ✗
8 + 1 > 3 ✓
The second inequality is false, so these side lengths cannot form a triangle.
Therefore,
The only set of side lengths that can form a triangle is A. 9, 4, 8.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon
Answers
Answer:
6.75
Step-by-step explanation:
First, I just gave you the answer.
Second, just use it.
What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from
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As for the proof of this,
Given that addition, subtraction, multiplication, and division are already known and don’t need to be proved, we know:
x^a = x*x*x… (a times)
x^b = x*x*x… (b times)
If we were to multiply these two expressions together, we’d simply get:
x^a*x^b = x*x*x… (a+b times)
And thus, that is why
x^a*x^b = x^(a+b)
I need help asaapppp
Answers
PLEASE HELP ITS MATH THANK YOUUUU
Answers
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
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Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3
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Step-by-step explanation:
this is the answer
please follow me and mark me as a brainlist
find the value of x and y
will give brainiest
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Answer:
[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]
11 4/5 + 3 5/6 and you have to add
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Answer:
15 19/30
Step-by-step explanation:
Joan wants to make a dinner plan for next week.. How many different arrangements are there for the 7 d a y s ?
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The number of arrangements is an illustration of permutations.
The number of arrangement is 5040
The given parameter is:
[tex]n = 7[/tex] --- number of days
[tex]r = 7[/tex] --dinners for 7 days
So, the number of different arrangement is
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
Substitute known values
[tex]^7P_7 = \frac{7!}{(7 - 7)!}[/tex]
[tex]^7P_7 = \frac{7!}{0!}[/tex]
[tex]^7P_7 = \frac{5040}{1}[/tex]
[tex]^7P_7 = 5040[/tex]
Hence, the number of arrangement is 5040
Read more about arrangements at:
https://brainly.com/question/15301090
Whats 4+4+(6x168) and the answer in Spanish
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I have 2 cupcakes but Jake has 7/4 as many as I do
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you would do your amount of cupcakes multipled by 7/4 which gets you 3.5!
Tia went to the Farmers
Market and bought 6
pineapples for $3.49
each. How much money did
Tia spend?
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Answer:
20.94$
Step-by-step explanation:
3.49x6 since Tia bought 6 pineapples and they cost 3.49 each and it equals 20.94$. So to buy 6 pineapples at the farmers market it cost 20.94$.
10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line
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detailed explanation and answer please 20 points
Answers
Step-by-step explanation:
The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76
So the answer is the bottom one. P=76 and A=330
Hey, how are you?
I am trying to do 100 points for you guys just saying how you are daily!
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Answer:
My day has been pretty okay!!
Step-by-step explanation:
Thank you for asking!!
Answer:
My day is going alright. Though, I am a bit stressed out since I am currently studying for an upcoming test.
You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips
Answers
Answer:
45:12
Step-by-step explanation:
5 + 16 + 4 + 7 + 13 = 45
5 (red) + 7 (blue) = 12
