Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent termsGiven the pattern
[tex]15,11,7,3,-1,...[/tex]
computing the differences of all the adjacent terms
[tex]11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4[/tex]
The difference between all the adjacent terms of the pattern is the same which is
[tex]d=-4[/tex]
Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.
3x+y=-9
Y=5x+7
Solve the system of linear equations by substitution
Answer:
x=-2
Step-by-step explanation:
Substitute y=5x+7 into the equation 3x+y=-9
So you will have, 3x+5x+7=-9
3x+5x=8x
8x+7=-9
8x+7-7=-9-7
8x=-16
x=-2
f(x)=2x^2-5x-20
find f(-9)
Answer:
The output when x = -9 is f(x) = 187.
Step-by-step explanation:
We are given a function and asked to find the output of that function.
The input of a function refers to a value that is substituted into the function in order to simplify it to a final value.The output of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.Our standard function is in the form of a quadratic equation.
[tex]ax^2+bx+c=0[/tex]
Let's check for a change in the presentation of the first value in the equation.
[tex]\bold{f(x)} = 2x^2 - 5x - 20\\\\\bold{f(-9)}[/tex]
We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.
[tex]f(-9) = 2(-9)^2 - 5(-9) - 20[/tex]
Now, it's time to simplify this function. Let's first simplify the first term of the function: [tex]2(-9)^2[/tex].
Let's follow PEMDAS in order to simplify the term.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
When using this acronym, make sure that all operations are performed left to right.
We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.
[tex]-9 \times -9 = 81[/tex]
Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.
[tex]81 \times 2 = 162[/tex]
Now, we need to subtract the product of 5 and -9.
[tex]5 \times -9 = -45[/tex]
[tex]162 - - 45 = 207[/tex]
Finally, we subtract 20 from this value.
[tex]207 - 20 = 187[/tex]
Therefore, the value of f(-9) is 187.
[tex] \sf f(x) = 2 {x}^{2} - 5x - 20[/tex]
To Find :-[tex] \sf f( - 9)[/tex]
Solution :-[tex] : \implies \sf f( - 9) = [2 \times( { - 9}^{2} )]-[ 5 \times - 9] - 20[/tex]
[tex] : \implies \sf f( - 9) = 2 \times 81 + 45 - 20[/tex]
[tex]: \implies \sf f( - 9) = 162 + 45 - 20[/tex]
[tex] : \implies \sf f( - 9) = 207 - 20[/tex]
[tex]: \implies \bf f( - 9) = 187[/tex]
The surface area of a right circular cone is 24π in.. The cone is enlarged by multiplying both the radius of the base and the slant height by 2. What is the surface area of the new cone?
A. 48π in.
B. 72π in.
C. 96π in.
D. 192π in.
Answer:
c 96Step-by-step explanation:
i took the test hope this helps
What is the mean of the numbers given below? 1, 5, 7, 9, 11, 16, 18, 20, 30, 35 Report your answer in decimal form. Enter
Answer:
15.2
Step-by-step explanation:
1) First, add all of the numbers together. 1+5+7+9+11+16+18+20+30+35=152.
2) Then, divide this by the amount of numbers. There are 10, so it is 152÷10=15.2
3) The answer is 15.2
A local hamburger shop sold a combined total of 450 hamburgers and cheeseburgers on Thursday. There were 50 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
250 hamburgers
Step-by-step explanation:
so if there were 50 less cheeseburgers then I would take 50 away from 450 and I would get 400. And then I divided it by 2. And so 200+50 = 250 so 250 hamburgers and 200 cheeseburgers. I hope this helps and I'm not good at explaining. :)
Please help me. its due in 15 minutes.
Answer:
sorry
Step-by-step explanation:
Answer:
$3,685.9
Step-by-step explanation:
Jason bought 4.5 kilograms of cream cheese. How many grams of cream cheese did Jason buy?
Answer:
the answer is 4500
Step-by-step explanation:
Answer:
He Bought 4,500 Grams of Cream Cheese.
Step-by-step explanation:
HELP DUE IN 10 MINS! Finish the similarity statement.
∆DEC ~ ∆??
Answer:
pog
Step-by-step explanation:
that test :P
help quickly, please! I'll mark you brainliest if you're right!
Answer:
C 803.8 in2
Step-by-step explanation:
Answer:
the answer is C 803.8 in2
Step-by-step explanation:
Eight angles of a nonagon measure 1389, 154º. 145°, 132°, 148°, 143,
147°and 150°. What is the measure of the ninth angle?
Answer:
103°
Step-by-step explanation:
The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.
138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157
1260 - 1157 = 103
Therefore, the missing angle is 103°
What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?
Answer:
rises to the left and rises to the right
Step-by-step explanation:
The end behavior of the graph of f(x) = 3x⁶ + 30x⁵ + 75x⁴ is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The degree of the polynomial function is 6, which is even, and the leading coefficient is positive, so the end behavior of the graph is as follows:
As x approaches negative infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) approaches positive infinity.
As x approaches positive infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) also approaches positive infinity.
Therefore, the end behavior of the graph of f(x) is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ7
PLEASE HELP!!Mathematically, when you square root a number, you
will get 2 solutions.
Sometimes True
Always True
Or Never True
Explain your thinking.
Rewrite each expression by combining like terms.
9tu - 15tu
PLEASE
Answer:
-6tu
Step-by-step explanation:
Can somebody Plz ANSWER
Answer:
The Height of an Average Door is about 80 Inches. So it is 7 Feet
Step-by-step explanation:
Converting 7 feet into Inches it becomes 84, which is the closet to a standard door.
What is the length of a diagonal of rectangle EFGH?
Answer:
Step-by-step explanation:
So it is 3 by 7 rectangle and diagonal
FE=3 EH=7 so FH=6
7(x + 2) = 6(x + 5) solve for x
X = 16
7 x + 14 - 6 x = 30
x + 14 = 30
What must NOT be included in an expression?
1. an equals sign
2. at least one variable
3. one or more numbers
4. an operation such as addition
Answer:
1. an equal sign
Step-by-step explanation:
An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given.
Answer:
1. an equals sign
Step-by-step explanation:
expression does NOT have a equal sign but an equation does have an equal sign.
what is the difference (7² + 8² + 9²) - (6² + 5² + 4²)
Answer:
199
Step-by-step explanation:
49 + 64 + 81 - 36 +25+16
194 - 36 +25 + 16
-36 + 25 + 16
= -11 + 16 = 5
194 + 5 = 199
Find the area of a rectangle with a base of 15 feet and a height of 20 feet.
Answer:
1/2 times base times height. So you would do 1/2 x 15 x 20 equals....
Step-by-step explanation:
the sun of 20 pesos bills (t) and fifty pesos bills (f) is greater than pho 42D
Answer
it is 0.5
Step-by-step explanation:
write an algebraic expression for the verbal expression
x more than 7
Answer:
x+7
Step-by-step explanation:
idek kinda thought that was obvious but who know I could be wrong
The algebraic expression for the verbal expression x more than 7 will be x + 7.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The algebraic expression for the verbal expression x more than 7 will be
The numbers will be x and 7. And the sum of the numbers x and 7 will be given as,
⇒ x + 7
The algebraic expression for the verbal expression x more than 7 will be x + 7.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the missing length?
what is equivalent to (18x+21)-2x
Answer:
16x+21
Step-by-step explanation:
What is the GCF of 20, 10 and 30?
Answer:
10 is the GCF
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
6. Tim and Jude share some
money in the ratio 3:4. If Tim gets
$450. How much did they share?
Answer:
They shared $1050.
Step-by-step explanation:
Divide 450/3 = 150
150 * 4 = 600
If Tim gets $450, then Jude will get $600.
450 + 600 = 1050
If Tim gets $400, then Jude will get $600.
Find the length of the third side. If necessary, write in simplest radical
form.
8
17
Answer:
9
Step-by-step explanation:
so we know that its a right triangle and 8 and [tex]\sqrt{17}[/tex] are not the hypotenuse.
the equation for this is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] with c being the hypotenuse.
[tex]8^{2}[/tex]+[tex]\sqrt{17} ^{2}[/tex]=[tex]c^{2}[/tex]
64+17=[tex]c^{2}[/tex]
81=c
[tex]\sqrt{81}[/tex]=c
9=c
Answer:
Step-by-step explanation:
To make the use of Pythagoras's theorem clear
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
where C is they hypotenuse or Hyp
A is one side often called the Adjacent side
B is the other side often called the Opposite side
when A = 8
and B = [tex]\sqrt{17}[/tex]
then
[tex]C^{2}[/tex] = [tex]8^{2}[/tex] + [tex]\sqrt{17} ^{2}[/tex]
[tex]C^{2}[/tex] = 64 + 17
[tex]C^{2}[/tex] = 81
C = [tex]\sqrt{81}[/tex]
C = 9
(10x + 20) degrees what is the value of x
Answer:
I think 2
Step-by-step explanation:
10x=20
20 divided by 10= 2
What is the measure
9514 1404 393
Answer:
∠SAP = 85°
Step-by-step explanation:
The whole is the sum of the parts.
∠SAX = ∠SAP + ∠PAX
142° = ∠SAP + 57° . . . . . . . use the given values in the equation
∠SAP = 142° -57° . . . . . . . . subtract 57° from both sides
∠SAP = 85°
Need help with 2 math questions pls help me for 20 points.
Classify the quadrilateral below.
Answer:
rhombus
Step-by-step explanation:
