Expanding parentheses,
➝ (x - 3)(x + 7)
➝ x(x + 7) - 3(x + 7)
➝ x² + 7x - 3x - 21
➝ x² + 4x - 21
Option B
Explore more:-Expanding brackets involves removing the brackets by multiplying each term in the brackets by every term outside of the brackets. The process of expansion is also known as the distributive law. When expanding brackets be very careful of negative numbers.
Once a set of brackets has been expanded, it is possible for several like terms to appear.
When this is the case you can use the box method or FOIL to ensure you expand the set of brackets properly. In general:
[tex] \large{ \boxed{ \rm{(a + b)(c + d) = ac + ad + bc + bd}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
PLEASE HELP ON 13 TO BE MARKED THE BRAINLIEST
Answer:
D) 10000 feet
Step-by-step explanation:
We are told that for some actual altitude, the reading is ...
30,000 ft = (1 -25%)altitude = 0.75×altitude
Multiplying by 4/3, we have ...
(4/3)(30,000 ft) = altitude = 40,000 ft
To get to 30,000 ft, the plane must descend ...
40,000 ft -30,000 ft = 10,000 ft
what is the tangent ratio for a
Answer:
2/3
Step-by-step explanation:
To find the tangent ratio of angle A we write the ratio of opposite side to adjacent side.
Wrote the slope intercept form of the equation for the line
Answer:
It would be the second question,
Step-by-step explanation:
y 7/8 x + 3/2
Which equation demonstrates the multiplicative identity property? (negative 3 + 5 i) + 0 = negative 3 + 5 i (negative 3 + 5 i ) (1) = negative 3 + 5 i (negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i (negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i
Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer:
EDGE2020 is B
Please help with this question!!!
Answer:
A = –3
B = 7
Step-by-step explanation:
Please see attached photo for explanation.
A concert hall has 1540 seats.
Calculate the number of people in the hall when 55% of the seats are occupied
Identifying Steps Involved in Deleting a Column from a Table
Tristan has moved the Television and related equipment Use the drop-down menus to identify the steps
row. Next, he needs to delete the blank row.
involved in deleting the blank row in this scenario.
Use
Percentage
Step 1:
Space cooling
17.5
Step 2
Step 3
Water heating
9.5
Step 4: Click the Delete Row option
9.2
9.1
8.8
Lighting
Space heating
Refrigerators and
freezers
Television and
related equipment
All other uses
5.9
40.0
1 - C
2 - B
3 - A
Step-by-step explanation:
Therefore, the correct answer is as follows:
CBAKnow more about columns here:
https://brainly.com/question/13142932
#SPJ2
Simplify the radical. 2/√6 A)√12/6 B)√3/3 C)√6/3 D)√2
This is the square root of 6 over 3. The 3 is not inside the square root.
========================================================
Explanation:
sqrt = square root
We have sqrt(6) in the denominator. Your teacher wants you to rationalize the denominator, which means to take out the square root and instead have an integer here.
To achieve this, we multiply top and bottom of the fraction by sqrt(6) like so
[tex]\frac{2}{\sqrt{6}}\\\\\frac{2*\sqrt{6}}{\sqrt{6}*\sqrt{6}}\\\\\frac{2\sqrt{6}}{\sqrt{6*6}}\\\\\frac{2\sqrt{6}}{\sqrt{36}}\\\\\frac{2\sqrt{6}}{6}\\\\\frac{2\sqrt{6}}{2*3}\\\\\frac{\sqrt{6}}{3}\\\\[/tex]
Therefore,
[tex]\frac{2}{\sqrt{6}}=\frac{\sqrt{6}}{3}\\\\[/tex]
is k=3 a reduction or enlargement (dilation)
Answer:
It is an enlargement because k=3 is larger than 1. Anything that equals less than one (ex. k=0.25) would be a reduction.
Step-by-step explanation:
There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, assuming there are no empty seats?
Answer:
35 different waysStep-by-step explanation:
Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.
In combination, if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.
nCr = n!/(n-r!)r!
Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.
7C3 = 7!/(7-3)!3!
7C3 = 7!/(4)!3!
7C3 = 7*6*5*4!/4!*3*2
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.
1
Solve for x: (2x - 1) + (4x + 9) = 32 m
O x = 40/6
O x = 4
x = 22/6
Other
Answer:
[tex]x = \frac{40}{6} [/tex]Step-by-step explanation:
To solve the equation
(2x - 1) + (4x + 9) = 32
First of all remove the parenthesis
That's
2x - 1 + 4x + 9 = 32
Simplify
We have
6x - 8 = 32
Add 8 to both sides
Thats
6x - 8 + 8 = 32 + 8
6x = 40
Divide both sides by 6
That's
[tex] \frac{6x}{6} = \frac{40}{6} [/tex]
We have the final answer as
[tex]x = \frac{40}{6} [/tex]
Hope this helps you
Answer:
2x -1 + 4x +9 =32=) 6x +8 =32=) 6x ==32-8=) 6 x = 24=) x = 24/6=) x = 4Identify as either rational or irrational and approximate to the tenths place.
Answer:
to the tenth place =1.732
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information, draw a scatterplot of the data. Based on the information, what might the approximate damage index be if the temperature was 10° Celsius? A) 5 B) 7 C) 10 D) 13
Answer:
D) 13
Step-by-step explanation:
The lower temperatures have a negative correlation so the lower the temperature the higher the damage index. Therefore a temperature of 10° Celsius should have a damage index higher than that of 12° Celsius so the only option is 13.
how many factors of 10 does 1000 have?
Answer:it has 16
Step-by-step explanation:
The answer of your question is 16 factors
Please help- Which is NOT equivalent to this expression? 3(52+15)
Answer: The last one 15[tex]g^{2}[/tex] +15g
Step-by-step explanation:
The last one , is not equivalent because after simplifying the expression, you will get 15g^2 + 45g and the last one doesn't match to it.
Answer:
15g^2 +15g
Step-by-step explanation:
all the others are equal to 15g^2 + 45g aka 3(52+15)
Select the statement that accurately describes the following pair of
triangles
Answer:
5. Triangle UVT ~ ∆RSQ by SSS
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
VT : TU : UV = 42 : 70 : 84 = 3 : 5 : 6
SQ : QR : RS = 15 : 25 : 30 = 3 : 5 : 6
Side lengths are proportional, so ∆UVT ~ ∆RSQ.
__
The triangle names need to be chosen so the sides are in the same order. Here UV and RS correspond, as do VT and SQ. That eliminates all but one answer choice.
Use the table below. Find the total cost of 2 salads, 1 sandwich, and 2 drinks. Use mental math. Lunch Menu Salad $6.25 Sandwich $5.50 Drink $2.75
Answer:
12.50+5.50+5.50= 23.50
Step-by-step explanation:
Add it
Line g passes through the points (-2.6,1) and (-1.4,2.5), as shown. Find the equation of the line that passes through (0,-b) and (c,0).
Answer:
y=-1.25x-4.25
Step-by-step explanation:
I had the same assignment.
The equation of the line that passes through (0,-b) and (c,0) is
7y - 8x = 28
The formula for calculating the equation of a line in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
m is the slope of the line
(x0, y0) is any point on the line
Given the coordinate points (0, -b) and (c, 0)
Since b = -4 and c = -3.5
The required coordinate points will be (0, 4) and (-3.5, 0)
Substitute the given parameters into the given formula for calculating the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-4}{-3.5-0} \\m = \frac{4}{3.5}\\m = 8/7[/tex]
Substitute m = 8/7 and the point (0, 4) into the expression [tex]y-y_0=m(x-x_0)[/tex]
[tex]y-4=\frac{8}{7} (x-0)\\7(y-4)=8x\\7y-28=8x\\7y-8x=28[/tex]
Hence the equation of the line that passes through (0,-b) and (c,0) is
7y - 8x = 28
Learn more here: https://brainly.com/question/17003809
Andy painted 400 square feet in 3 hours.how long will it take him to paint 720 square feet
Answer:
324 minutes or 5.4 hours
Step-by-step explanation:
400/3 = 133.333
133.333/60 = 2.2222
It took him one minute to paint 2.2222 square feet
720/2.2222 = 324 minutes
324/60 = 5.4 hours
Answer:
It will take Andy 5 hours and 24 minutes to paint 720 sq. ft.
Step-by-step explanation:
Since he painted 400 sq. ft. in 3 hours, then do 400/3 to get 133.33... sq. ft per hour. Then, do 720 / 133.33... to get 5.40000000001 hours taken. The 5 represents 5 hours, and the .4 represents 24 minutes (because 60 x .4 = 24).
Overall, you get 5 hours and 24 minutes of time to pain 720 sq. ft.
Monica needs to gain 10 pounds in order to be able to donate blood. She gained 5/6 pound the first week, 3/4 pound each of the next two weeks, 3/4 pound the fourth week, and lost 3/8 pound the fifth week. How many more pounds does she still have to gain?
Answer: [tex]7\dfrac{7}{24}\text{ pounds}[/tex]
Step-by-step explanation:
Given, Monica gained weight in first week = [tex]\dfrac{5}{6}[/tex] pounds
She gained weight in second week = [tex]\dfrac34[/tex] pounds
She gained weight in third week = [tex]\dfrac34[/tex] pounds
She gained weight in fourth week = [tex]\dfrac34[/tex] pounds
She lost weight in fifth week = [tex]\dfrac38[/tex] pounds
Now, net weight she gained= [tex]\dfrac{5}{6}+\dfrac34+\dfrac34+\dfrac34-\dfrac{3}{8}[/tex]
[tex]=\dfrac{20+18+18+18-9}{24}\\\\=\dfrac{65}{24}\\\\=2\dfrac{17}{65}\text{ pounds}[/tex]
She need to gain [tex]10-\dfrac{65}{24}=\dfrac{240-65}{24}=7\dfrac{7}{24}\text{ pounds}[/tex]
Hence, she still have to gain [tex]7\dfrac{7}{24}\text{ pounds}[/tex]more.
which is a better price: 5 for $1.00, 4 for $0.85, 2 for $0.25, or 6 for $1.10?
Answer:
2 for $0.25
Step-by-step explanation:
1.10/ 6= .20 (rounding)
1.00/ 5= .20
0.85/ 4= .21
0.25/ 2= .13 (rounding)
What is the equation for the line through P that is parallel to L and perpendicular to L. P(0,0), L:y=-x+2
Answer:
A. The equation of the line parallel to line L is y = – x
B. The equation of the line perpendicular to line L is y = x
Step-by-step explanation:
We'll begin by calculating the slope of line L.
This can be obtained as follow:
y = –x + 2
Comparing the above equation with:
y = mx + c
We can see that the slope (m) = –1.
Therefore, the slope of line L is –1
A. Determination of the equation of the line parallel to line L. This is illustrated below:
When two lines are parallel, their slope (m) is equal i.e
m1 = m2
m1 = – 1
– 1 = m2
This means that the slope of the line parallel to line L is –1
Now we shall determine the equation of the line parallel to line L as follow:
Coordinate = (0, 0)
x1 coordinate = 0
y1 coordinate = 0
Slope (m) = –1
y – y1 = m(x – x1)
y – 0 = –1 (x – 0)
y = – x
Therefore, the equation of the line parallel to line L is y = – x
B. Determination of the equation of the line perpendicular to line L. This is illustrated below:
When two lines are perpendicular, the product of their slope (m) is –1 i.e
m1 • m2 = – 1
but m1 = –1
–1 x m2 = – 1
Divide both side by – 1
m2 = –1/–1
m2 = 1
Now, we shall determine the equation of the line perpendicular to line L as follow:
Coordinate = (0, 0)
x1 coordinate = 0
y1 coordinate = 0
Slope (m) = 1
y – y1 = m(x – x1)
y – 0 = 1 (x – 0)
y = x
Therefore, the equation of the line perpendicular to line L is y = x
how do you solve this system of equation?
2x+4y=-4
3x + 5y =-3
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find x using y
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
Rivika used the last four digits of her telephone number,1048, followed by its prime factorization to create her email password Determine her password
Answer: I'm pretty sure I can help, just give me like 3 minutes..
-Angie
Answer:
Her password is 1048222131.
Like Angie said, 1048 * 2* 2 * 2 * 131.
But before that you need to decompose 1048 into its prime factors.
The Prime Factorization is:
2 x 2 x 2 x 131
In Exponential Form:
23 x 1311
CSV Format:
2, 2, 2, 131
All Factors of 1048:
1, 2, 4, 8, 131, 262, 524, 1048
Prime Factors Tree
1048
/ \
2 524
/ \
2 262
/ \
2 131
There you go! If you need more help just reach out to me!
Central High School is having their annual spaghetti dinner tomorrow evening, so a team of volunteer cooks is busy preparing for the event. They estimate that each of the 200 guests will eat 1.5 cups of tomato sauce. If the cooks already made 6 gallons of tomato sauce yesterday, how many gallons do they have to make today?
Hint: There are 16 cups in 1 gallon.
Answer:
The answer is 12.75 gallons.
Step-by-step explanation:
What I did to figure this out is I multiplied 200 x 1.5 to figure how many cups there is total. Then I converted the cups to gallons and subtracted 6. I got 12.75 gallons of tomato sauce.
-4x+ 7x + 3 ? Simplify algebraic expressions
Answer:
3x+3
Step-by-step explanation:
Add -4x + 7x.
Evaluate the expression 2(8-4) - 10 ÷ 2
Which of the number sentence is true?Justify with reasons. 3/10 of 50 = 50% of 3 3% of 50 = 6% 100 50 divide by 30 = 30 divide by 50 3/10 multiply by 50 = 5/10 multiply by 30
12. Mr. Gooding works at the local appliance store. His base salary is $360a week plus an
1/6
additional of his sales. If his total salary for the week is $570, what were his total sales for that
week?
Answer: total sales $1260
Step-by-step explanation:
GIVEN
Base salary: $360
Additional salary: 1/6 of total sale
Total salary: $570
-------------------------------------------------------
Let x= the total sales
360+(1/6)x=570
Subtract 360 on both sides
(1/6)x=210
Divide 1/6 on both sides
x=210 ÷ (1/6)
Turn division of fraction into multiplying its reciprocal
x=210 × 6
Simplify
x=1260
Hope this helps!! :)
Please let me know if you have any question
In your own words, describe the difference between a dilation and a stretch. *