Answer:
9x² + 33x + 28
Step-by-step explanation:
[tex](3x + 7)(3x + 4)\\= 3x(3x + 4) + 7(3x + 4)\\= 9x^2 + 12x + 21x + 28\\= 9x^2 + 33x + 28[/tex]
The expression 9[tex]x^2[/tex] + 33[tex]x[/tex] + 28 is the trinomial form of the expression (3x + 7)(3x + 4).
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
Expressions can be used to represent mathematical relationships, solve equations, simplify calculations, analyze functions, describe geometric figures, and more. They serve as fundamental tools in mathematical reasoning and problem-solving.
(3x + 7)(3x + 4) = 3x [tex]\times[/tex] (3x + 4) + 7 [tex]\times[/tex] (3x + 4)
= (3x [tex]\times[/tex] 3x) + (3x [tex]\times[/tex] 4) + (7 [tex]\times[/tex] 3x) + (7 [tex]\times[/tex] 4)
= 9[tex]x^2[/tex] + 12x + 21x + 28
Combine like terms to same sides:
= 9x^2 + 33x + 28
Therefore, the expression (3x + 7)(3x + 4) can be expressed as the trinomial 9x^2 + 33x + 28.
Learn more about expression here:
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9. Chocolate Co. mixes two kinds of chocolate bars
in a gift bag that weighs 3 pounds and has a total
cost of $15. The expensive candy bars are $6 a
pound and the other cost $4.50. How many
pounds of each are used to make the gift bag?
Please show work
9514 1404 393
Answer:
1 pound of expensive chocolate2 pounds of other chocolateStep-by-step explanation:
Let e represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...
6.00e +4.50(3 -e) = 15.00
1.50e = 1.50 . . . . . . collect terms, subtract 13.50
e = 1 . . . . . . . . . . . . .divide by 1.50
1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.
Solve 1/8^-1/3
Write in fraction form plz.
:)
Answer:
[tex] \frac{1} {2^{-1}}[/tex]
Step-by-step explanation:
[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]
The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the probability that someone scored 21.9 or less
Answer:
8.08 %
Step-by-step explanation:
Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]
Step 2
The probability that someone scored 21.9 or less is :
[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]
[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]
[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]
[tex]=0.0808[/tex]
[tex]=8.08%[/tex]
Answer : [tex]8.08 %[/tex]
HEYYYYYYYYY HELP ME PLEASE WILL GIVE BRAINLIST
Answer:
b. 13/51
Step-by-step explanation:
hope this helps have a nice day :)
Answer:
d) 4/17
Step-by-step explanation:
14 of each suit, out of 52 total cards.
14/52 would be the chance to draw a diamond.
but, since you removed a card, you change the probability.
13 - 1 = 12
52 - 1 = 51
the probability that you will choose another diamond is 12/51
however, this can be simplified.
12 & 51 are both divisible by 3.
12/3 = 4
51/3 = 17
so the simplified answer would be 4/17
Hi please answer 7-10 I will give you brainlst <3 and extra points .
Answer:
7) -1.75
8) 2
Step-by-step explanation:
7) m=-7/4 =-1.75
8)M m=8/4 = 2
Given ΔACP≅ΔLNX, find each missing measure.
Answer:
XL = PC
AC = NX
PC = XL
Angle L = Angle C
Angle C = Angle L
Angle X = Angle P
Step-by-step explanation:
Please someone solve this
Answer:
a)
(4a - 3b + 4) + (a + 3b - 1) =
4a - 3b + 4 + a + 3b - 1 =
5a + 3
b)
(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =
2x^2 - 3x - 3 - x^2 - 6x + 8 =
x^2 - 9x + 5
c)
(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =
3m^2 + 5m - 6 - m^2 - 4n + 5 =
m^2 + 5m - 4n -1
d)
(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =
4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =
7x^3 - 8xy^2 - 5y^2
e)
(5m + 2lm) + (l^2 - 3m^2 - 2lm) =
5m + 2lm + l^2 - 3m^2 - 2lm =
5m + l^2 - 3m^2
The set of data { 67,90,83,85,73,80,78,79,68,71} represents the ages of death of the first 10 U.S. Presidents. Which of the following represents a histogram of the data?
Answer:
90
Step-by-step explanation:
You must make a triangle using 3 pieces of
wood, and the two pieces of woods are 4 ft
and 7 ft long. What is the range of the third
possible side?
Answer:7 foot i think
Step-by-step explanation: bottom is 4 foot side is 7 foot that means other side is 7 foot
HELPPPP!!!! Use the diagram to complete the statement.
60% 0f 20 is ____
the answer os 60% of 20 is 12
How far apart are (-7.85) and 2.96?
Answer:10.81
Step-by-step explanation:It’s 2.96-(-7.85)=2.96+7.85
Simplify
A) 3y-y
B)6q+4- q + 5
Thanks to who ever answers:)
Answer:
=3(y-y)
=3
= 6q-q+9
=q(6-1)+9
=5q+9
help pls !!!!!!!!!!!! brainliest 2 whoever gets it right !
Answer:
Step-by-step explanation:
1/18
Need help ASAP no rocky
Answer:
x = 12
Step-by-step explanation:
The sum of a heptagon interior angles is 900 degrees, so:
10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900
rearrange to make it easier to subtract/add, u don't have to do this it's optional
10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900
add liket terms
22x + 29x + 19 + 269 = 900
51x + 288 = 900
subtract 288 from both sides
51x = 612
divide by 51
x = 12
An initial investment of 480$ is appreciated for 2 years in an account that earns 7% interest, compound quarterly. Find the amount of money in the account at the end of the period.
Answer:
The answer is $1,175.34
Which graph shows the solution set of the inequality 2.9 (x + 8) less-than 26.1
A number line goes from negative 10 to positive 10. A solid circle appears at 0. The number line is shaded from 0 toward positive 10.
A number line goes from negative 10 to positive 10. An open circle appears at 0. The number line is shaded from 0 toward positive 10.
A number line goes from negative 10 to positive 10. A closed circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Answer:
the solution set of inequality 2.9 (x + 8) less-than 26.1 is [tex]x<1[/tex]
Option D is correct.
Step-by-step explanation:
We need to find the graph that shows the solution set of the inequality 2.9 (x + 8) less-than 26.1
First we will solve the inequality to find value of x
[tex]2.9 (x + 8) <26.1[/tex]
Divide both sides by 2.9
[tex]\frac{2.9 (x + 8)}{2.9} < \frac{26.1}{2.9} \\x+8 < 9[/tex]
Subtract both sides by -8
[tex]x+8-8<9-8\\x<1[/tex]
So, the solution set of inequality 2.9 (x + 8) less-than 26.1 is [tex]x<1[/tex]
The graph would be:
A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Option D is correct.
The graph is attached in figure also.
Answer:
d
Step-by-step explanation:
edge 2022
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?
9514 1404 393
Answer:
y = 12x +24744Step-by-step explanation:
If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...
y = 12x +24 . . . . . equation modeling party cookies
__
For x=60, the number of cookies at the party is ...
y = 12·60 +24 = 720 +24
y = 744 . . . cookies at the party
Three less than eight times a number is twentyfive
3 - 8n = 25
8n + 3 = 25
Option 1
Option 2
8n - 3 = 25
Answer:
8n - 3 = 25
Step-by-step explanation:
how do you find the domain and range on a graph
Look at the values on the axes of the graph.
Step-by-step explanation:
Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.
For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.
so easy
What is the common difference in the following arithmetic sequence? 2/3,1/6,-1/3,-5/6,...
A -4
B-1/2
C1/9
D4
Answer:
B.- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:
[tex]\frac{2}{3} - \frac{1}{6}[/tex]
Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:
[tex]\frac{4}{6} - \frac{1}{6} = \frac{3}{6}[/tex]
3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.
Answer:
B
Step-by-step explanation:
Round 827.4715 to four significant
Answer:
827.5 I guess is the answer
Answer:
6 827.472 8.27471 × 102
5 827.47 8.2747 × 102
4 827.5 8.275 × 102
3 827 8.27 × 102
2 830 8.3 × 102
1 800 8 × 102
827.4715
Sig Figs
7
Decimals
4
Scientific Notation
8.274715 × 102
Words
eight hundred twenty-seven point four seven one five
Camila and her children went into a bakery and she bought $35 worth of cupcakes
and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. She bought a
total of 10 cupcakes and brownies altogether. Write a system of equations that could
be used to determine the number of cupcakes and the number of brownies that
Camila bought. Define the variables that you use to write the system.
Answer:
x + y = 10
3.75x + 2.5y = 35
Step-by-step explanation:
Got it correct
w/6+5/8=−1 3/8
w=?
I am really in a hurry. If the answer to this question is true, please tell me how to answer it. Thank you.
Answer:
46
Step-by-step explanation:
Calculate in calculator
10^2 . (3/5)2 - 7= ?????????
10^2 x (3/5)^2 - 7
= 100 x 9/25 - 7
= 900/25 - 7
= 36 - 7
= 29
Tyler's height is 53 inches. What could be his height in centimeters? (NOTE: 1 inch = 2.54 centimeters)
A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
6. match each equation with the correct number of solutions *
no solution
infinitely many solutions
one solution
Equations:
4(3x+2) = 4(2x+3)+4x
10(x+4)-3 = 14x+1
Answer:
x^4-3x^3-14x^2+12x+40 =0
Step-by-step explanation:
help me fill in the boxes please
Answer:m = 5/4 b=2 and y=5/4x +2
Step-by-step explanation:
m = 5/4 b=2 and y=5/4x +2
h(x)= -x^3-2x^2-3x+4; x=2
Answer:
h(2) = -18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -x³ - 2x² - 3x + 4
x = 2
Step 2: Evaluate
Substitute: h(2) = -(2)³ - 2(2)² - 3(2) + 4Exponents: h(2) = -8 - 2(4) - 3(2) + 4Multiply: h(2) = -8 - 8 - 6 + 4Subtract: h(2) = -16 - 6 + 4Subtract: h(2) = -22 + 4Add: h(2) = -18can someone help ill give brainliest
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation:
ok
a.
33/60=0.55
55%
b.
114/60=1.9
or 190%
c
60/100=0.6
0.6=1 percent
54
Answer:
a=55%
b=190%
c=54 pounds
Step-by-step explanation: