What is the correct expansion of (x - 2)(x - 5)?
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The equivalent expression is ~
\( {x}^{2} - 7x + 10\)\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
\((x - 2)(x - 5)\)\(\small(x \times x) + (x \times - 5) + ( - 2 \times x) + ( - 2 \times - 5)\)\( {x}^{2} - 5x - 2x + 10\)\( {x}^{2} - 7x + 10\)\(\mathrm{✌TeeNForeveR✌}\)
Answer:
x² -7x + 10
Step-by-step explanation:
1) Use the FOIL method: (a + b) (c + d) = ac + ad + bc + bd.
x² -5x - 2x + 10
2) Collect like terms.
x² + (-5x -2x) + 10
3) Simplify.
x² -7x + 10
Related Questions
¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?
Answers
Answer:
7,5*1000/2=37,5
Step-by-step explanation:
write the value of the unknown number in the verbal description
5 times the sum of 2 and a number is 80
a. 1
b. 28
c. 4
d. 16
Answers
Answer:
B.28
Step-by-step explanation:
Alex has built a garden shed in the shape shown.
(A) Alex plans to paint the outside of the shed, including the roof but not the floor. One can of paint can cover 6m^2 . How many cans of paint will Alex need.
(B)If one can of paint costs $25.50, what will the cost be including 13% tax.
Answers
Answer:
A) 22 cans required to paint
B) Including 13% tax, cost of painting = $633.93
Step-by-step explanation:
As we check the figure, we have a composite figure.
Cuboid on the base and a pyramid on the top of it.
To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m \(\times\) 3m.
And 4 triangular faces of pyramid with Base = 6m and Height 5m.
So, total area to be painted = 4 rectangular faces + 4 triangular faces
Area of rectangle = Length \(\times\) Width = 6 \(\times\) 3 = 18 \(m^2\)
Area of triangle = \(\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}\)
Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 \(m^2\)
A) Area painted by 1 can = 6 \(m^2\)
Cans required to paint 132 \(m^2\) = \(\frac{132}{6} = 22\ cans\)
B)
Cost of 1 can = $25.50
Cost of 22 can = $25.50 \(\times\) 22 = $561
Including tax of 13% = $561 + $561 \(\times \frac{13}{100}\) = $561 + $72.93 = $633.93
So, the answers are:
A) 22 cans required to paint
B) Including 13% tax, cost of painting = $633.93
There are 15 pieces of fruit in a bowl and 6 of them are apples. What
percentage of the pieces of fruit in the bowl are apples?
O 0.06%
O 0.4%
O 6%
40%
Answers
Answer:
40%.
Step-by-step explanation:
There are 6 / 15 apples out of the bowl.
6/15 = 2/5 = 0.4
So, 40% of the fruit in the bowl are apples.
Hope this helps!
Select the equation that represents the question. 0.5% of what number is 12?
Answers
At the start of her science experiment, the temperature of Tammy's solution was 114°F. During the experiment, the change in the solution's temperature was
–27°F.
What was the final temperature of the solution?
Answers
The final temperature of the solution is 87°F
What was the final temperature of the solution?From the question, we have the following parameters that can be used in our computation:
Start = 114°F.
Change in the solution's temperature = –27°F.
This means tht
Final = Start + Change
So, we have
Final = 114 - 27
Evaluate
Final = 87
Hence, teh final is 87
read mroe about expression at
https://brainly.com/question/15775046
#SPJ1
what is a Pythagoras theorem
Answers
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
https://brainly.com/question/28981380
#SPJ1
Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.
Answers
\(\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51\)
5x-y=1/4 write in slope-intercept form
Answers
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
Learn more about Slope intercept form here :
https://brainly.com/question/29146348
#SPJ1
Pls help I’ll mark brainiestt!!
Answers
Answer:
multiply numbers ADD exponents
21^78^6x^7+2x^6-x^43x^3y^22x^2+4x3x^4+7x^3
Find the size of angle x. ✓ 124 x
Answers
180=124+x
Then you move x to the other said making this problem:
X=180-124
Then you subtract them and the answer will be:
X=56 degrees.
Question 7 of 9
A
B
Answer here
D
Given that ZBCD and ZBCA form a straight angle, if ZBAC measures 20
degrees and ZABC measures 45 degrees, then the measure of ZBCD is
degrees.
Answers
m∠BAC=20°
m∠ABC=45°
m∠BCA + m∠BCD = 180°
We are trying to find the m∠BCD
Using the Triangle Sum Theorem, we know the three interior angles in a triangle sum up to 180,° so let’s create an equation:
m∠BAC + m∠ABC + m∠BCA = 180°
Substitute the given information in for the angles:
(20)+(45)+x=180
m∠BCA=x,° x denoting that we do not know the angle measure.
Let’s solve for x:
Add like terms:
65+x=180
Subtract 65 from both sides:
x=180-65
x=115°
So, m∠BCA=115°
Now, we know that:
m∠BCA+m∠BCD=180°
Substitute the information in, and let m∠BCD=y:°
(115)+y=180
Solve for y:
Subtract 115 from both sides:
y=180-115
y=65°
Thus, m∠BCD=65°
This must be true because 65+115=180
Answer: angle BCD is 65°
Use the distributive property to remove the parentheses. -3(4v-2y-6)
Answers
-12v+6y+18
you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18
i hope this helps :)
A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answers
Answer: 400
Step-by-step explanation:
50 points
A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distribution is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile.
Answers
Answer:
$1,945.91
Step-by-step explanation:
To find the amount a family would have spent to be at the 80th percentile, we can use the normal distribution.
If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:
\(\boxed{X \sim\text{N}(\mu,\sigma^2)}\)
Given that the average spending on a summer vacation is $1,600 and the standard deviation is $411:
Mean μ = $1,600Standard deviation σ = $411We need to convert the problem to the standard normal distribution by calculating the z-score.
The z-score represents the number of standard deviations a data point is away from the mean. To find the z-score corresponding to the 80th percentile, we need to find the critical value or z-score that corresponds to an area of 0.80 under the standard normal curve.
Using a standard normal distribution table or a calculator, the z-score corresponding to an area of 0.80 is 0.84162084...
Next, we use the formula for the z-score:
\(\boxed{z = \dfrac{x - \mu}{\sigma}}\)
where z is the z-score, x is the data point, μ is the mean, and σ is the standard deviation.
Substitute z = 0.84162084..., μ = 1600, σ = 411 into the z-score formula:
\(0.84162084... = \dfrac{x - 1600}{411}\)
Solving for x:
\(x=1945.90616...\)
Therefore, a family would have spent approximately $1,945.91 to be at the 80th percentile of spending on a summer vacation.
Answer:
$1,945.03
Step-by-step explanation:
To find the amount a family would have spent to be at the 80th percentile, we need to find the z-score that corresponds to the 80th percentile and then use that z-score to calculate the corresponding amount.
First, we find the z-score using the standard normal distribution table or a calculator:
z = InvNorm(0.8) ≈ 0.8416
Next, we use the formula for transforming a z-score to a raw score:
z = (x - μ) / σ
where x is the raw score, μ is the mean, and σ is the standard deviation.
Substituting the given values and solving for x, we get:
0.8416 = (x - 1600) / 411
x - 1600 = 0.8416 * 411
x - 1600 = 345.0256
x = 1945.0256
Therefore, a family would have spent about $1,945.03 to be at the 80th percentile.
rearrange the following numbers in order from greatest (top)to least (bottom) -1, 2, -2,-4
Answers
Answer:
2,-1,-2,-4
Step-by-step explanation:
A family pays $6.00 to park at a baseball game. Tickets for the concert cost $7.50 per person. The family spent a total of $43.50 for parking fees and tickets to the baseball game. The situation can be modeled by the equation 43.50 = 7.50n + 6, where n represents the number of tickets purchased. How many tickets did the family purchase?
Answers
Julio has a net pay of $ 537.00 each paycheck. He pays $ 142.00 in pre-tax deductions and taxes each paycheck. What is Julio's gross income before the tax deductions?
Answers
Answer:
Julio's gross income before the tax deductions is $ 405.
Step-by-step explanation:
Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:
547 - 142 = X
405 = X
Therefore, Julio's gross income before the tax deductions is $ 405.
a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answers
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Guys can you please help
Answers
PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answers
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
PLS HELP I NEED THIS DONE TODAY PLSSS WILL GIVE BRAINLY
Answers
Answer:
You need 6 lbs of red potatoes
32oz of cream cheese
43oz cream of potatoe soup
Step-by-step explanation:
Multiply all by 4
13. Two number cubes, labeled 1-6 are rolled. What is the theoretical probability that
of the two numbers rolled is greater than 24?
A. 4%
B. 11%
C. 25%
D. 36%
Answers
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answers
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answers
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
Larry is starting his own lawn service company. He has initial startup costs totaling $300, plus ongoing operating expenses. The function representing Larry's expenses and the function representing Larry's income for lawn services are shown in the graph below. Approximately how many lawns will Larry have to mow before he starts making a profit?
Answers
Answer:
Larry must mow approximately 25 lawns before he starts making a profit
Step-by-step explanation:
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
Answers
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
Learn more about straight line graph:https://brainly.com/question/30281621
#SPJ1
Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?
Answers
Answer:
$63
Step-by-step explanation:
Alana has 4 units of the $171.
Brianna has 7 units of the $171.
Carla has 8 units of the $171.
Total units = 4 + 7 + 8 = 19
19 units = $171
1 unit \(\frac{171}{19} \\= $9\)
Brianna has 7 units, so she receives 7 x $9 = $63.
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answers
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .
Answers
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
\(\sigma\) = $40
Number of commuters,
n = 100
Now,
⇒ \(SE=\frac{\sigma}{\sqrt{n} }\)
On putting the given values, we get
⇒ \(=\frac{40}{\sqrt{100} }\)
⇒ \(=\frac{40}{10}\)
⇒ \(=4\)
By using the 2 SE rule of thumb, we get
= \($(167 - 2\times 4)\)
= \(167-8\)
= \(159\) ($)
Or,
= \((167 + 2\times 4)\)
= \(167+8\)
= \(175\) ($)
i.e,
$159 and $175