Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED
Answer:
the too left graph us the abswer,
Because
f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2
The graph of the function f(x) = (x + 3)(x - 2) is first graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.
First, to find the x-intercepts, we set y = 0 and solve for x:
(x + 3)(x - 2) = 0
This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.
Next, to find the y-intercept, we set x = 0 and evaluate:
f(0) = (0 + 3)(0 - 2) = -6
Therefore, the y-intercept of the graph is -6.
The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.
This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other
Hence, the graph of the function f(x) = (x + 3)(x - 2) is first graph.
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For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?
Answer:
answer for this solution is 10 degrees
Step-by-step explanation:
sin x + cos x = 90
5x + 3x +10 = 90
x = 10
simplify this 2x - 1 = 8
Answer is below. Look at the steps to clearly understand my answer.
Now, the first time to simplifying this to add both sides by 1.
2x - 1 = 8 → 2x - 1 + 1 = 8 + 1
Since we added both sides, we'll now simplify the problem.
Add both numbers.
2x - 1 + 1 = 2x8 + 1 = 92x = 9Lastly, we'll divide both sides of the equation by the same term.
2x = 9[tex]\frac{2x}{2} =\frac{9}{2}[/tex]Now, cancel both terms that are in both the numerator and denominator.
If you look back at the fraction, 2 is in the numerator and denominator, so we'll cancel those terms.
When you cancelled the terms, you should get x = 9/2.
Any questions? Comment below.
Answer:
Hi, there the answer is [tex]x=\frac{9}{2}[/tex]
Step-by-step explanation:
Step 1: Add 1 to both sides.
2x−1+1=8+1
2x=9
Step 2: Divide both sides by 2.
2x /2 = 9 /2
x= 9 /2
Hope This Helps :)
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
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Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
Write the equation (y = mx+b) for the following scenario: A bulldozer can be rented at a fixed rate of $800 plus $120 for every hour that it is used.
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
help help help with maths please
Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
ASAP work pls answer
I NEED HELP PLEASE UHHH PLEASE I NEED HELP UUUUHHHHHHH
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
Answer:
Sulio needs 28 feet of fencing
Step-by-step explanation:
P= 2l + 2w
Length- 8 ft
Width- 6 ft
Use formula with the given:
2(8) + 2(6)
= 16 + 12
= 28
Therefore, Sulio needs 28 feet of fencing
Hope this helps
Answer:
a, b, c, d
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!
45
W
V
92
Answer:
[tex]\displaystyle x^\circ \approx 29.3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 45
Hypotenuse = 92
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(x^\circ) = \frac{45}{92}[/tex]Inverse Trig: [tex]\displaystyle x^\circ = sin^{-1}(\frac{45}{92})[/tex]Evaluate: [tex]\displaystyle x^\circ = 29.2834436[/tex]Round: [tex]\displaystyle x^\circ \approx 29.3[/tex]need help ASAP due in a few min
Answer:
A
Step-by-step explanation:
T o show the inverse, the output becomes the input
The input is the output
The input is 2,4,6,8
The output is 1,3,5,7
They will also be in the same order so 1 went to 2 so 2 will go to 1
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
pls help me solve this question pls show how you got the answer
A question about the sequence.
If p(x) = x^3 + 3x^2 - 2x + 4, then find the value of
p(2) + P(-2) - (0)
Answer:
the answers is =-0
Step-by-step explanation:
is -0
What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
Which statement is true? asap thx reeeeeeeeeeeeeeeeeeeeee
A. 24 – 15 × 4 – 3 × 2 = 30
B. 24 – 15 × (4 – 3) × 2 = 30
C. (24 – 15) × 4 – 3 × 2 = 30
D. (24 – 15) × 4 – 3 × 2 = 66
Answer:
the correct answer should be C: (24-15) x 4-3 x 2=30
C. (24 - 15) x 4 - 3 x 2 = 30
Hope this helps! :)
If the sum of three consecutive integers is 36 what is the smallest integer?
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
Help please like please
Answer:
With What?
Step-by-step explanation:
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
a
SUBMIT
HELP
Answer:
The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
Step-by-step explanation:
imverse
The second statement is the contrapositive of the first.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that x → y is a conditional statement read as 'if x then q'.
And, The converse EXCHANGES the hypothesis and conclusion such as:
⇒ y → x
And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:
⇒ ¬y → ¬x
Coming back towards the question,
Given that;
x ⇒ y
¬y ⇒ ¬x
Therefore, The second statement is the contrapositive of the first.
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