Answer:
X^2 + 46x + 45 = (x + 1) (x + 45)
Step-by-step explanation:
Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .
1, 45
Write the factored form using these integers.
(x + 1) (x + 45)
I hope this helps.
Answer:
(x+1) (x+45)
Step-by-step explanation:
By using FOIL(Front Outer Inner Left) it should end up like this:
1. x2 + 46x + 1x + 45
2. x2 + 47x + 45
Need help ASAP!!
How many points do you need to know to draw the graph of a direct proportionality? which are?
What is
4 3/20 written as a decimal?
Answer:
[tex]4\frac{3}{20}[/tex]=4.15
69240 rounded to the nearest hundred
Answer: 692
Step-by-step explanation:
First you see the numbers and u need to see which is the ones, tens, and hundreds and when u find the hundreds u can round it
Please help me with this!! 18 points!!
Answer:
Step-by-step explanation:
20 is 8x8^5=262144 (8x8)^5= 1073741824 so they are not the same
21 is (3^2)^-3 = 0.001372 (3^3)^-2=0.001372 THEY ARE NOT THE SAME
okay thats
all i got its a bit hard to read for me sorry
Teri and Lee are playing a game that consists of consists of spinning a spinner with eight equal spaces numbered 1 through 8, and then flipping two coins at the same time.
Terri wins 10 points if the spin is greater than 5 and the coins are different (one head and one tail).
Lee wins 15 points if the spin is an even number and the coins are both tails.
Is the game is fair or unfair? Why?
A.The game is not fair, because Terri’s expected value is 10(4/8)(2/4)=2.5 and Lee’s expected value is 15(4/8)(1/4)=1.875.
B.The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.
C.The game is not fair, because Terri’s expected value is 10(38)(13)=1.25 and Lee’s expected value is 15(4/8)(1/3)=2.5.
Answer:
B. The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.Step-by-step explanation:
ProbabilitiesTeri
10 points for spin > 5 and 2 coins are different3 spins out of 8 and 2 outcomes out of 410*(3/8)*(2/4) = 1.875Lee
15 points for spin is even number and 2 coins are both tails4 spins out of 8 and two same outcomes15*(4/8)*(1/2*1/2) = 1.875The game is fair as per the outcome above
Correct option is B.
Which expression is the simplest form of 5(2x - 3) - 3(x + 4) / 9
A. 7x - 3
B. 7x - 27/9
C. 7x - 3
D. 13x - 27/9
Answer:
The answer is B.
Step-by-step explanation:
The simplified expression is 7x - 27/9
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given:
5(2x - 3) - 3(x + 4) / 9
=10x-15-3x-12/9
=10x-3x-15-12/9
=7x-27/9
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HELP GUYS WUICK PLEASE
How do you solve
6⋅1/3x+6⋅1/2=2x+3
Answer:
x = -3/2, 1
Step-by-step explanation:
1. Use Rule of One
2. Take out the constants
3. Simplify 6/3 to 2
4. Use the product rule
5. Simplify
6. Move all terms to one side
7. Simplify
8. Split the second term
9. Factor out the common terms
10. Factor out the common term (again)
11. Solve for x
PLEASE! I WILL GIVE BRAINLIEST THIS IS DUE TONIGHT! Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that these two shapes are congruent?
Arrange the numbers in increasing order.
3.049 3.059 3.05 3.04
How do you simplify a radical?
Answer:
[tex]\huge\boxed{\texttt{See Explanation}}[/tex]
Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have [tex]\sqrt{108}[/tex].
We're looking for two numbers, where
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that [tex]36 \cdot 3 = 108[/tex], so we can form this statement now.
[tex]\sqrt{108} = \sqrt{36 \cdot 3}[/tex]
We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.
[tex]\sqrt{36} = 6\\6\sqrt{3}[/tex]
Hope this helped!
The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?
The points represented by the table lie on a line, then the slope of the line would be; 3.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.
Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):
[tex]m = \dfrac{y-q}{x-p}[/tex]
Now Plug the value into the slope formula:
m = (5 - (-4))/ (5 - 2)
m = 9/3
m = 3
Therefore, the slope of the line would be; 3.
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5) Rafael's goal is to average
20 points per game in his
basketball league. He has
scored 24, 18, 25, and 16
points in his first four games.
How many points will he
need to score in game 5 to
end up with a mean score of
exactly 20?
Mae Ling earns a weekly salary of $315 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise?
Answer:
$561
Step-by-step explanation:
4100 x0,06= 246
246+315=561
What is the additive inverse of the number 3?
3
0
-3
6
Answer:
-3
Step-by-step explanation:
The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.
Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)
Just keep in mind that finding it's additive inverse is usually the best way to do it.
Here are some ways to negate a number:
Zero subtracted by the number. (0 - n) not (n - 0).Multiplying or dividing the number by negative one. (n / -1 or n × -1)Subtracting a number by the second multiple of itself. (n - 2n) not (2n - n).________________________________
HELP IMMEDIATELY PLEASE, WILL GIVE BRAINLIEST!!!
Answer:
The slope is -1/3 I think.
Answer:
slope = 1/3
Step-by-step explanation:
We can look at the points where the graph exactly intersects a point. Those points are: (10, 50), (40, 60), and (70, 70). The slope is the difference of y divided by the difference of x. You can subtract any two points. Your final answer would be (70-60)/(70-40) = 10/30 = 1/3
Data Set A has a mean of 215 and a standard deviation of 35. Data Set B has a mean of 400 and a standard deviation of 12.
Which data set is more spread out?
Answer:
Data set A
Step-by-step explanation:
Data set A is the one that is more spread out.
The mean is the same as the average of a given sample. It is usually a measure of the central tendency of a data set.
Standard deviation is a measure of the spread of a given set of data.
The lower the value of the standard deviation, the more clustered around the mean a data is. Data is spread out if it has a higher value of standard deviation.Since data set A has a standard deviation of 35, it the most spread out.
The result of adding 1 to 5 times a number is 31. Find the number
Answer:
5 times 6 plus 1 is equal to 31. so the answer is 6
Step-by-step explanation:
5*x+1=31
31-1=30
30/5=6
Answer: 6
Step-by-step explanation: The equation is 5x+1=30
-1 -1
5x=30
X=6
Sally deposits $4,000 in a certificate of deposit that pays 2.12% simple interest. What is her balance after one year?
Answer:
4084.80
Step-by-step explanation:
Interest = Principal * Interest * Time
= 4000 * 0.0212 * 1
= 84.8
balance = deposit amount + interest
= 4000 + 84.8
= 4084.80
Based on then information given her balance after one year is: $4048.80.
Using this formula
A = P (1 + r)^t
Where:
A=Amount=?
Principal=$4,000
r=Interest rate=2.12% or 0.0212
t=time=1 year
Let plug in the formula
A=4000(1 + 0.0212)^1
A= 4000(1.0212)
A= $4048.80
Inconclusion her balance after one year is: $4048.80.
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2x^2+6x+3=0
Solve for quadratic formula
Answer:
x= (-3 +- sqrt3)/2
Step-by-step explanation:
Exact Form:
x=(-3± √ 3)/2
Decimal Form:
x = − 0.63397459 … , − 2.36602540 …
Help me ASAP please!!!
Answer:
30 centimeters
Step-by-step explanation:
You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.
Answer:
30
Step-by-step explanation:
20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.
Multiply the small triangle's length by 2.5 to get your answer of 30.
144 students enter a spelling bee, but only \frac{1}{6}
6
1
of the group will make into the semi-final round, and only \frac{2}{3}
3
2
that group will make into the final round. How many students will enter the final round of the spelling bee?
Answer: 16 students will enter the final round of the spelling bee.
help me answer this question in the picture :)))
Answer:
x = 15p
-75
Explanation:
remove brackets:
4px + 4 = 64
solving for x --> 4px = 64 - 4 then--> 4px = 60
then diving both sides by 4p --> x = 60\4p --> x = 15p
now solving for x when p is -5
we will substitute the -5 in the equation we got --> x= 15 (-5)
which will give us --> x = -75
9.1 divided by 5 using standard algorithm
Answer:
1.82
Step-by-step explanation:
-5t^2+10t+22 does the ball reach a height of 35m
Answer:
Step-by-step explanation:
35=-5t²+10t+22
5t²-10t+13=0
disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0
t is imaginary.
So ball never reaches a height of 35 m
Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
w - 7 < -22
Step-by-step explanation:
Answer:
w - 7 < -22
Step-by-step explanation:
This should be correct. Let me know!
It costs Ruth $12.50 a week to wash and dry her clothes at the laundromat. If a
washer and dryer cost a total of $940, how many weeks will it take for Ruth's laundry
cost to equal the cost of the washer and dryer?
Answer: 75.2 per week
Step-by-step explanation:
A 76 weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
To find out how many weeks it for Ruth's laundry cost to equal the cost of the washer and dryer, to set up an equation.
Let's assume it takes "x" weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
In one week, Ruth's laundry cost is $12.50. Therefore, in "x" weeks, her total laundry cost would be 12.50 × x.
The cost of the washer and dryer is $940.
Now set up the equation:
12.50 × x = 940
To solve for "x," divide both sides of the equation by 12.50:
x = 940 / 12.50
x = 75.2
Therefore, it will take approximately 75.2 weeks for Ruth's laundry cost to equal the cost of the washer and dryer. Since the number of weeks cannot be fractional, round up the answer to the nearest whole number.
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. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?
ASAP!!!
Answer:
65%
Step-by-step explanation:
26/40 x 100= 65%
hope this helps!
Write the equation of each line in slope-intercept form. A line that passes through
(-4, 8) and (4, 6)
Answer:
[tex]y=-\frac{1}{4}x+7[/tex]
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
4y=x+20
Step-by-step explanation:
gradient
8-6/-4-4
= 1/4
y-6=1/4(x-4)
4y-24=x-4
4y=x+20
The is the missing side of this triangle
Answer: 24.59 or 24.6
Step-by-step explanation: You do the formula A squared+ B squared= C squared. You substitute A and B because you already know them which will make it 11 squared+22 squared=24.6(rounded)
C is larger than both A and B remember that
