I think the answer is A and C!
Answer:
B) Keeping A constant and decreasing B
C) Increasing A and keeping B constant
Step-by-step explanation:
I did it on Khan Academy :)
Let p: x<-3
Let q: x>3
What is represented by p V q?
O x<-3 and x > 3
O x> 3 or x<-3
Olfx <-3, then x > 3
Ox<-3 if and only if x > 3
9514 1404 393
Answer:
(b) x> 3 or x<-3
Step-by-step explanation:
The ∨ symbol is understood to mean "or".
p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice
(-1,-6)(-1,-3)(-1,-2)(-4,-2)(-4,1)(-4,4) range
Answer:
range is the y part and domain is the x so the range is the y coordinates
-6,-3,-2,-2,1,4
Step-by-step explanation:
i need help to solve this please -6 - 8x = -2(4x + 3)
Answer:
infinite solutions, true for all x
Step-by-step explanation:
-6 - 8x = -2(4x + 3)
Distribute
-6-8x =-8x-6
Add 8x to each side
-6-8x+8x = -8x-6+8x
-6 =-6
Since this is always true, the equation is true for all x
-6-8x = -2(4x+3)
-6-8x = -8x-6
-8x+8x = -6+6
0=0
infinite solution
THANK YOU
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
Learn more about the Remainder Theorem here:
https://brainly.com/question/13264870
#SPJ2
Help Please NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION PLEASE PRETTY PLEASE
Answer:
1.3
Step-by-step explanation:
I guess it's 1.8 - 0.5
16 + (17+8)=( 16+ ) +8
65
Step-by-step explanation:
11. S(-4,-6) and T(-7,-3); Find R.
Answer:
R(-1,-9) But I know if the answer is correct or not
Step-by-step explanation:
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
There are four to every seven girls in an instructory biology course , if there are 385 students enrolled in the course, how many are boys?
Answer:
140 boys
Step-by-step explanation:
x = boys, y = girls
x/y = 4/7, x+y=385
x = 140, y = 245
The unit circle with center at the origin is a relation but not a function. Find the two functions which are lie in one of the semicircle in part a, and determine their domains and ranges?
Answer:
Step-by-step explanation:
All real number
expressions equal to 10^3
Answer:
1000
Step-by-step explanation:
10³
= 1000
Answer:
10 * 10 * 10
Step-by-step explanation:
Cubing a number just means you are multiplying that number 3 times to itself. Since we have 10^3, we multiply 10 to itself three times.
Best of Luck!
Customer are charged a late fee of 20% of their bill. This person is a week late on a bill of $200.00 What should we charge for the late fee?
Multiply the amount owed by 20% by changing the percent to a decimal.
20% = 0.20
200 x 0.20 = 40
The late fee is $40
If 18 drinks cost £54, how much will 7 drinks cost ?
Step-by-step explanation:
solution :
cost of 18 drinks (is)=52
Help me with math please really need it
Answer:
Not too sure about this one, but I hope this helps.
Step-by-step explanation:
basically I just used the formula y=mx+b
m is the slope
and b is the y intercept
Find the area of this circle
Answer:
153.86 ft^2
Step-by-step explanation:
π=3.14
r=7ft
πr^2=3.14*7*7
=153.86 ft^2
Area of circle = π r²
Here , We have
π = 3.14r = diameter/2r = 14/2 r = 7 ft.Area of circle = 3.14 × (7)²
Area of circle = 3.14 × 49 ft²
Area of circle = 153.86 ft²
1.
.? ESSENTIAL QUESTION
How are the
midpoint and length of a segment on the
coordinate plane determined?
Answer:
to find midpoint add both"X" coordinates and divide by 2
also add "Y" coordinates and divide by 2
then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]
Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )
Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]
The distance between two points (x₁,y₁) and (x₂,y₂ )
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]".
For more about line segment,
https://brainly.com/question/25727583
#SPJ2
The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help
Answer: 11/3
Step-by-step explanation:
-12/3 + n = - 1/3
n = -1/3 + 12/3
n = 11/3
Tickets to a band concert cost 10 dollars each
Answer:
10
Step-by-step explanation:
It 10 bucks each ticket
If Marty spent $66 on movie tickets and one ticket costs $8.25 how many tickets did he buy
Answer:
8 tickets
Step-by-step explanation:
To find how many tickets he bought, we can divide.
66 / 8.25 = 8
Best of Luck!
Answer:
8
Step-by-step explanation:
66 divided by 8.25, bringing it to 8.
What answer applies to “fine print”?
In goooooooogle you get your answer please Mark me as a brainlist
Find the value of:
7- (1/2)3
Answer:
6.875
Step-by-step explanation:
7- (1/2)^3 = 7-1/8 = 6.875
Write the number in expanded form 68,020
Answer:
hope it is helpful
Step-by-step explanation:
68,020-
6= 60,000
8= 8,000
0=0
2= 20
0=0
-2/5 + 1/2 plz answer need help
Answer:
solution -2/5+1/2 =-2*2+1*5/5*2 =-4+5/10 =1/10
I = V/R
make R the Subject formula
Answer:
R = V/I
Step-by-step explanation:
I = V/R
Multiply both sides by r
IR = V
Divide both sides by I
R = V/I
Ex:
2 = 6/3
3 = 6/2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In a survey of 60 students ,30 drink milk,25 drink curd and 10 students drink as well as curd then.Find the number of students who drink of them.draw a venn-diagram to illustrate the above information.
A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
Answer:
Step-by-step explanation:
There are many ways this could be done, but the simplest way is to divide 18 into 72. That gives 4. So each plot is 4 * 20 = 80 m^2
If you are willing to use fractions, the answer could be 20*72 / 18 = 8 * 10 which is more feasible and still gives 80, but the land may not permit it. However math will.
It's hard to give an exact answer when it is this open ended.
which of the following numbers falls between 2 and 3 on the number line square root of 8 or square root of 12
9514 1404 393
Answer:
√8
Step-by-step explanation:
8 is between 2² = 4 and 3² = 9. 12 is not.
√8 falls between 2 and 3.
__
Your calculator can help with this.
√8 ≈ 2.828 . . . . . between 2 and 3
√12 ≈ 3.464 . . . . not between 2 and 3 (between 3 and 4)
Simplify the complex fraction: 8/9 / -4
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} \\ \frac{8}{9} \times \frac{1}{ - 4} \\ \frac{8 \times 1}{9 \times - 4} \\ \frac{8}{ - 36} \\ \frac{2}{ - 9} \\ - 0.22[/tex]
Answer:
B. [tex] - \frac{2}{9} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} [/tex]
[tex] \frac{8}{9} \div 4 = \frac{8}{9} \times \frac{1}{4} [/tex]
[tex] \frac{8 \times 1}{9 \times 4} = \frac{8}{9 \times 4} [/tex]
[tex] - \frac{2}{9} [/tex] ✅
Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?
Solve the equation e2x dy/dx 1 given that y = 5 when x = 0
Answer:
The equation is
[tex]{ \underline{ \sf{y = - 2 {e}^{ - 2x} + 7 }}}[/tex]
Step-by-step explanation:
[tex]{ \sf{ {e}^{2x} \frac{dy}{dx} = 1}} \\ \\ { \sf{dy = {e}^{ - 2x} dx}}[/tex]
integrate:
[tex]{ \sf{ \int dy = \int { - e}^{2x} dx}} \\ { \sf{y = - 2 {e}^{ - 2x} + c}}[/tex]
c is a constant.
when y is 5, x is 0:
[tex]{ \sf{y = { - 2e}^{ - 2x} + c}} \\ { \sf{5 = - 2 {e}^{( - 2 \times 0)} + c }} \\ { \sf{5 = - 2 {e}^{0} + c }} \\ { \sf{5 = ( - 2 \times 1) + c}} \\ { \sf{5 = - 2 + c}} \\ { \sf{c = 7}}[/tex]
therefore, equation:
[tex]y = - 2 {e}^{ - 2x} + 7[/tex]