Answer:
The first term is a = 0.4.
Step-by-step explanation:
We are given the indicated terms of an arithmetic sequence; [tex]a_3[/tex] = 1, [tex]a_3_3[/tex] = 22.
As we know that the nth term of the A.P. is given by;
[tex]a_n=a+(n-1)d[/tex]
where, a = first term and d = common difference
Now, the third term of AP is given as 1, this means;
[tex]a_3=a+(3-1)d[/tex]
[tex]a+2d=1[/tex]
a = 1 - 2d --------------- [equation 1}
Also, the 33rd term of AP is given as 22, this means;
[tex]a_3_3=a+(33-1)d[/tex]
[tex]a+32d=22[/tex]
[tex]1-2d+32d=22[/tex] {using equation 1}
[tex]30d=21[/tex]
[tex]d=\frac{21}{30}[/tex]
d = 0.7
Putting the value of d in equation 1 we get;
[tex]a=1-(2 \times 0.7)[/tex]
a = 1 - 1.4 = -0.4
Hence, the first term of an AP is -0.4.
What is the distance from the directrix (the Crocodile River) to the point (x,y)? Write this equation. Your answer will contain a y-term.
Answer:
4
Step-by-step explanation:
PLEASE HELP DUE VERY SOON!! Solve for x. A. 5 B. 3 C. 7 D. 4
Answer:
A
Step-by-step explanation:
Is the square root of 100 000 000 irrational
Answer:
No.
Step-by-step explanation:
100 000 000 = 10^8
So its square root = (10^8)^1/2
= 10^4
= 10,000.
which is rational.
You can check out this answer on a calculator. It is correct.
What is the value of (-7+3i)+(2-6i)? A)-9+9i B)-5+9i C) -9-3i D) -5-3i
Answer:
D
Step-by-step explanation:
Add real numbers and add imaginary numbers
(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i
= - 5 - 3i
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
•What is the value of (-7+3i)+(2-6i)?
[tex] (- 7 + 3i) + (2 - 6i) = ( - 7 + 2 + 3i - 6i) = - 5 - 3i [/tex]
(-7+3i)+(2-6i) = [tex]\boxed{\color{gold}{ -5-3i}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
Please help with this lesson
Answer:
50%
Step-by-step explanation:
First, add up all the females that are Freshmen or Sophomores (296).
Now, we just divide 296 by the total (592) and get 50%
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
Answer:
c
Step-by-step explanation:
idk how to do this?
Answer:10/15
Step-by-step explanation:5×2/5×3
5×2=10/5×3=15
=10/15
solve the inequality 12(1/2x-1/3)>8-2x
Answer:
The answer is
[tex]x > \frac{3}{2} [/tex]Step-by-step explanation:
[tex]12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x[/tex]Expand the terms in the bracket
That's
[tex]6x - 4 > 8 - 2x[/tex]Move - 2x to the left side of the inequality to make it positive
[tex]6x + 2x - 4 > 8 \\ 8x - 4 > 8[/tex]Add 4 to both sides
That's
[tex]8x - 4 + 4 > 8 + 4 \\ 8x > 12[/tex]Divide both sides by 8
[tex] \frac{8x}{8} > \frac{12}{8} [/tex]We have the final answer as
[tex]x > \frac{3}{2} [/tex]Hope this helps you
Please Help! 15 Points. Which of the following properties were used to rewrite the expression (8u)v+9w as 9w+8(uv)? There are two correct answers. A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
Answer:
A. Commutative Property of Addition D. Associative Property of MultiplicationStep-by-step explanation:
The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.
__
The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.
Answers:
A. Commutative Property of Addition &D. Associative Property of MultiplicationStep-by-step explanation:
Now let's see why these are the correct answers:
___________________________________________________________
Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.
Here, this is a correct answer because 9w is moved from the end of the equation to the front.
___________________________________________________________
Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.
Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.
___________________________________________________________
Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.
Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.
___________________________________________________________
Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.
Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Answer:
y = (-2/3)x + 490
Step-by-step explanation:
Our given equation is 2x + 3y = 1,470.
First subtract 2x from both sides of the equation:
3y = 1470 - 2x
Next divide both sides by 3:
y = 490 - (2/3)x
Move the terms on the right to fit the slope-intercept form (y = mx + b):
y = (-2/3)x + 490
Answer:
2x + 3y = 1470
=> 3y = 1470 -2x
=> y = 1470/3 - 2/3x
=> y = -2/3x + 490
First, I made the 3y alone by subtracting 2x to both sides.
Next, I divided 3 from both sides to make y alone.
Lastly, I got the slope-intercept form.
Slope = the number with which "x" is multiplied.
So, In this equation slope = -2/3
Y-intercept can be found my making the x as 0
=> y = -2/3(0) + 490
=> y = 490
So, the y-intercept is (0,490)
X-Intercept can be found by making y as 0
=> 0 = -2/3x + 490
=> -490 = -2/3x
=> -490 * 3 = -2x
=> -1470 = -2x
=> -1470/2 = -x
=> -735 = -x
=> x = 735
So, x-intercept = (735,0)
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Answer:
see below the first three problems
Step-by-step explanation:
f(g(-2))
First, find g(-2) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(-2) = -2(-2) + 1
g(-2) = 5
f(x) = 5x
f(5) = 5(5)
f(5) = 25
f(g(-2)) = 25
g(h(3))
First, find h(3) using function h(x). Then use that value as input for function g(x).
h(x) = x^2 + 6x + 8
h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8
h(3) = 35
g(x) = -2x + 1
g(35) = -2(35) + 1 = -70 + 1
g(35) = -69
g(h(3)) = -69
f(g(3a))
First, find g(3a) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(3a) = -2(3a) + 1
g(3a) = -6a + 1
f(x) = 5x
f(-6a + 1) = 5(-6a + 1)
f(-6a + 1) = -30a + 5
f(g(3a)) = -30a + 5
Factor the trinomial below.
x² + 5x – 24
O A. (x-8)(x+3)
O B. (x-3)(x+8)
O C. (x - 4)(x+6)
O D. (x-6)(x+4)
Answer:
B.(x-3)(x+8)
Step-by-step explanation:
product of -3 and 8 is -24 and sum of -3+8 is +5
Answer:
(x+8) (x-3)
Step-by-step explanation:
x² + 5x – 24
What 2 numbers multiply to -24 and add to 5
8*-3 = -24
8+-3 = 5
(x+8) (x-3)
Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true?
Answer:
a = -1, b = 10Step-by-step explanation:
Given the function h(x) = (x – 1)³ + 10 so that h(x) = (g°f)(x). If f(x) = x + a and g(x) = x³ + b, then;
g(f(X)) = g(x+a).
To get g(x+a), we will have to replace the variable x with x+a in g(x) as shown;
g(x+a) = (x+a)³ + b
g(f(x)) = (x+a)³ + b
Since h(x)= g(f(x)) = (x – 1)³ + 10
g(f(x)) = (x+a)³ + b = (x – 1)³ + 10
Hence (x+a)³ + b = (x – 1)³ + 10
On comparing the coefficients to get the value of a and b;
(x+a)³ = (x-1)³
Take the cube root of both sides
∛(x+a)³ = ∛(x-1)³
x+a = x-1
x+a-x = -1
a = -1
Also on comparing, b = 10
Hence the values of a and b would make the composition true are -1 and 10 respectively.
Answer:
a: -1
b: 10
edge 2020
What is the slope? Ahahaha
Answer:
m = 3/2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(50, 20)
(70, 50)
Step 2: Find slope m by plugging into formula
m = (50 - 20)/(70 - 50)
m = 30/20
m = 3/2
Answer:
3/2
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 50,20) and (90,80)
m = ( y2-y1)/(x2-x1)
= (80-20)/(90-50)
=60/40
= 3/2
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
x2 + x = 42
x2 + 2x = 42
x2 + x + 42 = 0
x2 + 2x + 42 = 0
Answer:
[tex] x^2 + x = 42[/tex]
Step-by-step explanation:
Let the required number be x
Therefore, it's square = [tex] x^2 [/tex]
[tex] \therefore \: x + {x}^{2} = 42 \\ \huge \red{ \boxed{{x}^{2} + x = 42}}[/tex]
Answer:
the answer is a
Step-by-step explanation:
Which property is being used:
(4y + 1) * 0 = 0
A. Inverse Property
B. Identity Property
C. Property of zero
D. Commutative Property
Answer:
property of zero.
Step-by-step explanation:
It is given that, (4y + 1) × 0 = 0 . We need to tell out of four given options, which property is used in this case.
The property of zero states that if any number is multiplied by 0, then the answer is equal to 0.
Here, the number is (4y+1). It is multiplied by 0. It means that the result is 0.
Hence, it shows "property of zero".
PLEASE HELP WILL GIVE BRAINLIEST 4x - 2(1 - x) = 2(4x -3)
Find the difference of f(x) and g(x) if f(x) = 5x^4 + 2x^3 + 3x^2 + 1 and
g(x) = 7x^3+ 4x^2+ 3
a. Is f(x) a polynomial? If not, give an explanation.
b. Is g(x) a polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the coefficient of the x2 term.
Pls help with this please !!
Answer:
Step-by-step explanation:
Polynomial is sum of powers in one or more variables multiplied by coefficient.
a) f(x) is a polynomial of degree 4
b) g(x) is a polynomial of degree 3
c) difference = 5x⁴ +2x³ +3x² + 1 - [7x³ + 4x² + 3]
= 5x⁴ + 2x³ + 3x² + 1 - 7x³ - 4x² - 3
= 5x⁴ + 2x³ - 7x³ + 3x² - 4x² +1 - 3
= 5x⁴ - 5x³ - x² - 2
in triangle ABC, angle b = 45 degree, angle c =55 degree,AD bisects angle A,find angle ADB and Angle ADC
Answer:
angle a + angle b + angle c = 180 (angle sum property)
a + 45+55= 180
a + 100 = 180
a = 180-100
a= 80
AD bisects angle a
i.e angle ADB= angle ADC
angle ADB + angle ADC = 80
angle ADB + angle ADB =80
2angleADB= 80
angle ADB = 80/2
angle ADB = 40
angle ADB = angle ADC
40 = angle ADC
plz mark as brainliest
What is the area of this polygon? (see Image for answers
Answer:
43.5 sq. units
Step-by-step explanation:
Area 1 = 1/2 * 3 * 2 = 3
Area 2 = 1/2 * 5 * 1 = 2.5
Area 3 = (8 + 11)/2 * 4 = 38
total area = 3 + 2.5 + 38 = 43.5 sq. units
what is 11 to the power of 8 over 11 to the power of 4 equivalent to
Answer:
14,641.
Step-by-step explanation:
214,358,881 ÷ 14,641 = 14,641.
Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of the graph) A. f(x)=(x+2)2+4 B. f(x)=(x−2)2−4 C. f(x)=(x+2)2−4 D. f(x)=(x−2)2+4
Answer:
B.
Step-by-step explanation:
The zeroes are 0 and 4 and the vertex is at (2, -4).
f(x) = (x - 2)^2 - 4
Answer:
B. f(x)=(x−2)^2−4
Step-by-step explanation:
The vertex form of the equation for a parabola with vertex (h, k) is ...
f(x) = a(x -h)^2 +k
The value 'a' is a vertical scale factor, which is indicated as being 1 in all of the answer choices.
The graph shows you the vertex is (h, k) = (2, -4). Putting these values into the above form, you get ...
f(x) = (x -2)^2 -4 . . . . . . matches choice B
Click an item in the list or group of pictures at the bottom of the problem and, holding the
correct position in the answer box. Release your mouse button when the item is place.
Factor completely and then place the factors in the proper location on the grid.
x2 - 10x + 24
What is the square root of -1
-i
i
-1
1
Answer:
i
Step-by-step explanation:
√-1 is always going to be imaginary i
That is a math rule needed to memorize.
Answer:
i
Step-by-step explanation:
what’s the answer choice?????
Answer: C
Step-by-step explanation:
I WILLGIVE BRAINLIEST!!!!!!! Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A′B′C′D′? A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answer:
Step-by-step explanation:
Answer:
(A) A translation one unit to the left followed by a 180-degree rotation.
Step-by-step explanation:
I figured this out by seeing that ABCD was one unit too far from the x=0 line than A’B’C’D. To get it the same distance, we move it left one, which is the same as transforming one unit to the left.
Now, we can see that the coordinates are opposite of each other - this signifies a 180° rotation around the origin.
So, it’s a transformation one unit to the left and a 180° rotation around the origin.
Hope this helped!
Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal to four decreased by triple the number, x. Which of these represents the inequality needed to solve the for the number and its solution? A. The inequality is −5x−2x+3≤4−3x and its solution is x≥−14 . B. The inequality is −5x−2(x+3)≤4−3x and its solution is x≥−52 . C. The inequality is −5x−2x+3≤4−3x and its solution is x≤−14 . D. The inequality is −5x−2(x+3)≤4−3x and its solution is x≤−52
Left Side
if x = a number
five times a number means 5 · a number = 5 · x
add a negative sign; -5·x
simplify; you don't need the multiplication symbol; -5x
minus 2·x = -2x
plus 3 = +3
-5n-2x+3
Sign
less than or equal to = ≤
Right Side
triple of x = 3·x = 3x
4 minus triple of x = 4-3x
4-3x
The final inequality is -5x-2x+3 ≤ 4-3x
♡ Hope this helps! ♡
❀ 0ranges ❀
. Multiply (5x2 + x − 4)(x + 2).
Answer: 5x2+3x -dx x3 2x2
Step-by-step explanation:
can someone help me please ! i need to find the perimeter
Answer:
Step-by-step explanation:
Perimeter of the figure = 6x - 4 + 6x - 4 + 12x +3 + 14x+ 13 + 12x + 3
Add like terms
= 6x + 6x + 12x + 14x + 12x - 4 - 4 + 3 + 13 + 3
= 50x + 11
The original price of a sweatshirt is $45.00. If the sweatshirt is marked down 20% , what is the new price?
Answer: 36
Step-by-step explanation:
The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36
Answer: 36
Step-by-step explanation: The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36