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
Another question I need an answer to since I forgot to put it in my previous one. Worth 50 points this time with a brainliest. This is not a multiple choice. Please help me this is the last one.
Answer:
64?
Step-by-step explanation:
A box contains 10 light bulbs, of which 3 are defective and the other 7 work. If two bulbs are drawn in succession without replacement, what is the probability of getting 1 working bulb and 1 defective bulb?
Answer:
Working: 7/10
defective:3/10
Step-by-step explanation:
Just trust me
A taxi driver charges £5 per mile.
Write a formula to work out the total amount he gets paid (T) when you know the total number of miles he drives (m).
Answer:
T(m) = 5m
Step-by-step explanation:
The number of miles will multiply the price per mile, so the result will be the total price
Which equation represents the line shown in the graph below?
у
+
8
6
4
2
X
-8
-6
-21
6
2
8
2
-6
-8
O A. y = 3x + 4
OB.y = 31 - 4
OC. y = 4x + 3
OD
y = 4.1 - 3
The equation of line from the graph is y = 3x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The equation y = 3x + 4 represents a line in the coordinate plane.
To graph this line, we can plot a few points
when x=0, y=3(0)+4=4,
So we have the point (0,4)
when x=1, y=3(1)+4=7,
So we have the point (1,7)
when x=-2, y=3(-2)+4=-2,
So we have the point (-2,-2)
Plotting these points and connecting them with a straight line, we get the graph of the line
Hence , the equation of line is y = 3x + 4
To learn more about equation of line click :
https://brainly.com/question/14200719
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what number when decreased by 10% is 180?
Answer:
Number 200 decreased by 10% (10 percent) of its value (percentage decrease) and calculated absolute change (actual difference). Answer: percentage decreased number = 180, absolute change (actual difference) = -20
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
180 - 10% = 162 so 162 is the answer
i need help plz..................................
Danielle and 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,900 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Step-by-step explanation:
She earns $1046 that week
hello there
I am looking for some help on this thank you.
Answer:
rational
irrational
rational
rational
irrational
rational
rational
rational
Step-by-step explanation:
irrational numbers are square roots of numbers that aren't perfect squares (creates non-repeating non-terminating decimals) and pi.
The lines given by the equations y = 2x and y= 2x + 1 are
A. Parallel
B. Perpendicular
C. Neither Perpendicular nor parallel
The function f (x) = 2x - 5 is a linear function. Let g(x) represent f (y) after a horizontal translation 3 units to the right.
What is the equation for g(x)?
Enter your answer in the box
g(x) =
which of the parent functions are monomial functions, which are power functions?
I WILL MARK BRAINLIEST!!!!
Answer: D
Step-by-step explanation:
cual es la raíz cuadrada de 254
Answer: Es 15.9
Step-by-step explanation:
15.9373774505 ⬆️
Use a variation model to solve for the unknown value.
Answer:
x+y=12
Step-by-step explanation:
You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10
Using the expected value, it is found that the highest value you could set the price is: $5.
-----------------------------
A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].
The charge is x.
6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.
10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.
36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.
Since we want the expected value to be 0:
[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]
[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]
[tex]22x = 110[/tex]
[tex]x = \frac{110}{22}[/tex]
[tex]x = 5[/tex]
The highest value you could set the price is: $5.
A similar problem is given at https://brainly.com/question/24905256
A restaurant has 50 tables.
40% of the tables have 2 chairs at each table.
The remaining 60% of the tables have 4 chairs at each table.
Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.\
Answer:
160 is the total
Step-by-step explanation:
Number of tables with 2 chairs: 20
Number of tables with 4 chairs: 30
40% of the tables have 2 chairs at each table. In total, there are
40 chairs at these tables.
60% of the tables have 4 chairs at each table. In total, there are 120 chairs at these tables.
Altogether, the restaurant has a total of 160 chairs
if is wrong i'm sorry
The ratio of pigs to cows on a farm is 4:3.
a) If there are 36 cows, how many pigs are there?
b) If there are 70 pigs and cows all together, how many are cows?
Step-by-step explanation:
#ap : c
4 : 3 = x : 36
3x = 4 × 36
3x = 144
x = 48
#bp + c = 70
c = 3/7 × 70
c = 3 × 10
c = 30
Match the following equation to the correct situation 30%(b − 25) = 30%b − 7.5
Answer:
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfvgvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
Use the midpoint formula to find the midpoint of (4, -2) and (6, 10)
Answer:
the mid point in x axis is half of 6-4 which =1
the mid point in y axis is half of 10-(-2) which=6
hence he midpoint is (1,6)
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12
Answer:
B) 5/12, 1/2, 2/3, 3/4, 5/6
Step-by-step explanation:
You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.
2/3 = 8/12
1/2 = 6/12
5/6 = 10/12
3/4 = 9/12
Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)
Explain the steps you would take to find a quotation of 1/3÷4/3
Answer:
Answer btw is 1/4 ;)
Step-by-step explanation:
First step in dividing fractions is to flip the second fraction, aka find the inverse.
[tex]\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}[/tex]
All you have to do from here is multiply.
[tex]\frac{3}{12}=\frac{1}{4}[/tex]
Boom.
can somebody help me with social studies please ????
Somebody please answer
Will get brainlist if you help me
Answer:
what do you mean? what's the question?
please help i dont understand this
Answer:
I would try cymath
I can't solve this so I would use cymath or copy and paste your answer to go 0gle and you might find another brainly question with this
HELP PLSSSS!!! I will mark you as brainlyist
test.mapnwea.org
Use the information to answer the question.
A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.
Which two reasons would best explain why the expected probability and observed probability did not match?
A. The surface of the spinner was not even.
B. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
D. The number of spins did not match the number of sections.
O A. The surface of the spinner was not even
UB. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
UD. The number of spins did not match the number of sections.
Sorry hindi ko alam yan i
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
4/5
Step-by-step explanation:
the slope is the number next to x
y=mx+b is a model we use in math to find the slope. each letter is a place marker for different numbers.
slope is where the m is in the problem
in your case 4/5 is found in the same spot as m.
NO LINKS OR ASSESSMENT!!
8. Graph the image of the figure using the transformation given. Don't forget prime marks on your new image.
Answer:
See belowStep-by-step explanation:
Use points:
J(-2, -4), K(-3, -3), L(-5, -5)Apply the rule:
(x, y) → (x + 2, y + 4)New points are:
J'(0, 0), K'(-1, 1), L'(-3, -1)Step-by-step explanation:
Given :
J (-2,-4)
K (-3,-3)
L (-5, -5)
RULES
2 unit right 4 unit ups
=> (x + 2, y + 4)Transformation
J
(-2,-4)
= (-2 + 2, -4 + 4)
= (0,0)
K
(-3,-3)
= (-3 + 2, -3 + 4)
= (-1, 1)
L
(-5, -5)
= (-5 + 2, - 5 + 4)
= (-3, -1)
Please help thank you!!!
Which pairs of rectangles are similar polygons?
Select each correct answer.
Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.
Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width
Top Left Rectangles: Proportional
6.4 / 5.6 = 1.6 / 1.4
8.96 = 8.96
Top Right Rectangles: Not Proportional
10.2 / 6.2 = 5.2 / 1.2
32.24 does not equal 12.24
Bottom Left Rectangles: Proportional
39 / 27 = 13 / 9
351 = 351
Bottom Right Rectangles: Not Proportional
64 / 36 = 8 / 6
288 does not equal 384
Hope this helps!! :)
x/3 - 13= 9
Plz help its very confusing
Answer:
x = 66
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \frac{x}{3} - 13 = 9 \\ \\ \frac{x}{3} = 9 + 13 \\ \\ \frac{x}{3} = 22 \\ x = 22 \times 3 \\ x = 66. answer. [/tex]
Simone works at an assembly plant she made 490 items in five days how many items did she average per day?
Answer:
98 per day
Step-by-step explanation:
490 / 5
= 98