Answer:
1/16
Step by Step Explanation:
If you multiply -1/2 · -1/2 · -1/2 · -1/2 you get 1/16.
Solve {2x — y = 13; 3x + y = 12
Answer:
{x,y}={5,-3}
Step-by-step explanation:
The graph of the function f(x) = (x + 2)(x − 4) is shown.
Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answer:
all real values of x where 1 < x < 4
If there is anything you don't understand let me know. Also, since the graph is supposedly shown you may even be able to get the information just by looking at the graph.
Step-by-step explanation:
A graph goes from being negative to positive (or the other way around) by passing through the x axis. Or in other words when f(x) = 0. So the trick is to find all 0s and then test if it is poitive or negative before and after the 0.
f(x) = (x+2)(x-4) is in factored form, so it gives the 0s. in factored form the 0s are the negatives of the numbers int he parenthesis. Or in other words (x+a)(x+b) would have 0s at -a and -b. Notie it is x+a but the 0 is at -a. so for (x+2)(x-4) the zeroes would be -2 and 4.
Then checking, we can say it is positive before -2, negative after -2 up until 4, then it is positive again.
For increasing and decreasing for anything other than a quadratic and linear function you need calculus. Since this is a quadratic though you don't need it.
With quadratics you need to know they have two parts. An increasing part and decreasing part. If you draw the graph of x^2 you can see it decreases until (0,0) then it starts increasing. -x^2 is the opposite. it won't always have the same changing point, but you can always tell if it increases first or decreases first. You look at if the coefficient next to x^2 is positive of negative.
In (x+2)(x-4) We have to expand first. so it becomes x^2 - 2x - 8. x^2 has 1 as its coefficent so we know it decreases first then increases. Also looking at (x+2)(x-4) you could say since the two xs have the same sign we also know it would be that. is one was positive and one negative, like (2x+1)(-3x+1) we would be able to say it increases first then decreases.
To know when it switches, since it is in factored form you find the point in the middle of the two zeroes, and that is where it switches. Since the zeroes are -2 and 4 we can say the middle (called the vertex) is at x=1 since it is 3 away from both 0s. So it decreases up until 1 then increases.
The different forms of quadratics have different easy methods of finding the vertex.
We could also actually use this information to say, since it is decreasing first we know it is positive before the first 0, then negative until the second 0, then positive again. Still would have to find the 0s though.
So now we know it is positive and decreasing until x=-2, negative and decreasing until 1, negative and increasing until 4, then increasing after that.
Since you want negative and increasing, that is 1 < x < 4
A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
Find mZA and mZB.
Please help :)
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
The probability model based on experimental probability for randomly selecting a marble from a bag is P(green)=18/40, P(Blue)=14/40, and P(white)=8/40. About how many marbles of each color are in the bag if there are 60 total marbles.
A. 27 green, 12 blue, 21 white
B. 12 green, 27 blue, 21 white
C. 27 green. 21 blue, 12 white
D. 27 white, 12 blue, 21 green
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it the only one that make sense
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
29.9Step-by-step explanation:
tan x = 5.6/9.7
tan x = 0.57732
x = 29.9 to nearest tenth
I hope I'm correct if not I tried my best
bye :-)
What would I say pls help me
Answer:
Hi, today we learned about (the lesson you choose) and the teacher told me to tell you what to do so you need to do your work or you will get in trouble
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
Byron is 3 years older than Doug. The product of their ages is 40. How old Doug?
A. 10
B. 8
C. 5
D. 4
Answer:
Option B is correct
Step-by-step explanation:
Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:
x(x+3) = 40
x2 + 3x = 40
x2 + 3x + 40 = 0
Now, factor the equation:
(x+8)(x-5) = 0
Then, solve for both values of x:
x+8 = 0
x = -8
x-5 = 0
x = 5
As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.
Hope it is helpful...Answer:
Doug is 10 years old; option A
Step-by-step explanation:
set up expressions using the information you already know:
B (byron)
D (doug)
B = D + 3
B * D = 40
you can now solve by plugging in an expression for the variable B in the second equation.
D + 3 * D = 40
D + 3D = 40
(combine like terms)
4D = 40
(divide by 4 on both sides to isolate the variable and balance the equation)
4D/4 = 40/4
D = 10
So, the answer is A; Doug is 10 years old
Hello again, do you mind helping me? Thank you
Answer:
P = 20 and A = 24
Step-by-step explanation:
6+6+4+4 = 20
6*4 = 24
Hope this helps
Ayuda plissss es para hoy
Answer and Step-by-step explanation:
1.
First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]
2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex] <- This is the answer. Esta es la respuesta.
2. First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]
[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1 <- This is the answer. Esta es la respuesta.
3. Make the fractions have the same denominator, then add, then multiply by 40.
Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.
[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]
[tex]\frac{47}{40}[/tex] × 40 = E) 47 <- This is the answer. Esta es la respuesta.
I hope this helps! #TeamTrees #PAW (Plant And Water)
¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.
Complete the statement
Answer:
<RQS = <RSQ
Step-by-step explanation:
IRQ = RS, then QRS is an isosceles triangle and the base angles are equal
<RQS = <RSQ
The entries in the register of a bank account are shown in the table.
Account Register
Date
Withdrawal
Deposit
Balance
April 2
$1,976.20
April 3
$27.60
April 6
$192.70
April 8
$532.18
April 9
$35.90
?
What is the balance in this register after the withdrawal on April 9 ?
O A. $1,187.82
O B. $1,645.02
OC. $2,307.38
O D. $2,764.58
A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?
The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.
Answer:
second option : the side length was multiplied by 5.
Step-by-step explanation:
a = side length of the original square
A² = a×a
(a+5)×(a+5) = a² + 10a + 25
and that should be equal to a²×25
a² + 10a + 25 = 25a² ?
10a + 25 = 24a²
no, that is not true for all a
a×5 × a×5 = a²×25 = 25A²
this is the correct solution, as it is true for all a.
For the area to be 25a², the side length was increased by 5.
How to calculate the area of a squareLet a be the side length of the original square, hence:
A = a²
Increasing the length by 5 will give:
(a+5)×(a+5) = a² + 10a + 25
Factorizing the result
a² + 10a + 25 = (a+5)²
a² + 10a + 25 = 25a²
This shows that for the area to be 25a², the side length was increased by 5.
Learn more on area of square here: https://brainly.com/question/25092270
Plzzzzz help ill make you brainliest
Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?
1 4,756 m
2 4,744 m
3 4,750 m
4 1,250 m
Answer:
4 1250 m
Step-by-step explanation:
Hope it helps you.
find the indicated side of the triangle 60 30
Answer:
7√3
Step-by-step explanation:
tan 60° = x/7
√3 = x/7
x = 7√3
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Answer:
y-1 = 2(x+2)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -1 = 2(x - -2)
y-1 = 2(x+2)
Evaluate the expression below when x = 7 and y = 8.
5x2−3y
Answer:
221
Step-by-step explanation:
Substitute x = 7 and y = 8 into the expression
5(7)² - 3(8)
= 5(49) - 24
= 245 - 24
= 221
Which ordered pair is located on the X-axis? A) (0,-5) B) (-2) C) (3,0) D) (-1,5)
Answer:
(3 , 0 )
Step-by-step explanation:
At x-axis, y-co ordinate is 0
So, (3,0)
Answer: (3, 0)
Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0) is the x-axis.
In the picture below, I have plotted a few points including the point
in this problem to show you that all x-intercepts have a y-coordinate of zero.
A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.
Answer:
$35
Step-by-step explanation:
1-2/7=5/7 (remaining money left after shopping)
2/5×5/7=2/7 (amount of money lost)
5/7-2/7=3/7 (amount of money she has now)
3/7=$15
1/7=$5
7/7=$35
Hence, total amount of money she has before she went shopping=$35
hope it helps:))))
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
When filled to capacity, the water in the aquarium water
tank reaches 32 feet. The water is currently reaching 24
feet. What percentage of the tank is full?
Answer:
75 %
Step-by-step explanation:
The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
Evaluate.
−8125−−−−√3
−425
−25
425
25
Answer:
-2/5
Step-by-step explanation:
( -8/ 125) ^ 1/3
We know (a/b) ^ 1/3 = a^ 1/3 / b^1/3
( -8) ^ 1/3 / ( 125) ^ 1/3
Rewriting
( -2^3) ^ 1/3 / ( 5^3) ^ 1/3
We know that a^b^c = a^(b*c)
-2^(3* 1/3) / 5^(3 * 1/3)
-2 / 5
Answer:
-2/5
Step-by-step explanation:
