Expand each of the following expressions
(b-2) (b+7)
Answers
Answer:
[tex] {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
By algebraic identity:
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
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Related Questions
Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944
Answers
Answer:
D. 1,944
Step-by-step explanation:
the box's size is missing, so I looked for a similar question:
the box measures:
base (12 cm) width (9 cm) height (18 cm)total volume of the box = 12 x 9 x 18 = 1,944 cm³
since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.
Help with question on Complementary and Supplementary Angles
Answers
Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
The value of x in fig.1 is 29 .
The value of x in fig.2 is 38 .
Given,
Figures having different angles .
1)
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
x = 29.
2)
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76
x = 38.
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Which are perfect square trinomials? Select two options.
x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36
Answers
Answer:
C. x2 − 4x + 4
D. x2 + 10x + 25
Step-by-step explanation:
On edge 2021
The two perfect square trinomial are
x2 − 4x + 4x2 + 10x + 25Options C and D are correctPerfect square trinomialPerfect square trinomial is an algebraic expression takes the form
ax2 + bx + c,
A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).
Therefore, the two perfect square trinomial perfect are
x2 − 4x + 4x2 + 10x + 25More on Arithmetic
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a baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate
Answers
Fifty five percent times two hundred and sixty equal one hundred and forty three
A committee of three students met with the principal today and agreed that Rachel will report to the principal every $9$ days, Jessica every $12$ days, and Richard every $15$ days. What is the least number of days before all three will again report to the principal on the same day?
Answers
Answer:
180 days
Step-by-step explanation:
To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them
Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days
Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180
The lowest common multiples of 9 days, 12 days, 15 days is 180 days
Therefore, the least number of days all three will report again to the principal is 180 days
Solve for x.
6(x - 1) = 9(x + 2)
x=-8
O x=-3
O x = 3
O x = 8
Answers
To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .
Answers
Answer:
(- 1, 4 ) is a solution to the equation
Step-by-step explanation:
Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution
Given
3x + 8y = 29, then
3(- 1) + 8(4) = - 3 + 32 = 29 = right side
Thus (- 1, 4 ) is a solution of the equation
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answers
Answer:
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:
Total charge for Rock the House Digital Designs = 500 + 50h
Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:
Total charge for Elegance Home Architects = 75h
A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h
B) Option B is correct because the total charge for Elegance Home Architects = 75h
C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500
D) For a period of 15 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250
Total charge for Elegance Home Architects = 75h = 75(15) = $1125
Option D is correct because Elegance home architect would be cheaper
E) For a period of 40 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500
Total charge for Elegance Home Architects = 75h = 75(40) = $3000
Option D is correct because Rock the House Digital Designs would be cheaper
Please help! alg 1! I really need a explaintion fastttt
Answers
Answer:
y = -5x +10(0, 10)(1, 5)see attachedStep-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Answer:
1. y = -5x +10
2. (0, 10)
3. (1, 5)
4. see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Use the following image to answer the questions below.
Answers
Answer: Choice A
Ray PL and ray PQ
=======================================================
Explanation:
Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.
Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.
Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.
Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).
Solve: -3x + 12 = -18
Answers
Answer:
x=2
Step-by-step explanation:
-3x+12=-18
-3x=-18+12
-3x=-6
x=-6/-3
x=2
Answer:
x=10
Step-by-step explanation:
We are given the equation:
[tex]-3x+12= -18[/tex]
and asked to solve for x. Therefore, we must isolate x on one side of the equation.
12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.
[tex]-3x+12-12= -18 -12[/tex]
[tex]-3x= -18-12[/tex]
[tex]-3x=-30[/tex]
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.
[tex]-3x/3=-30/-3[/tex]
[tex]x= -30/-3[/tex]
[tex]x=10[/tex]
Let's check our solution. Plug 10 in for x and solve.
[tex]-3x+12=-18[/tex]
[tex]-3(10)+12=-18[/tex]
Multiply -3 and 10.
[tex]-30+12=-18[/tex]
Add 12 to -30.
[tex]-18=-18[/tex]
This checks out, so we know our solution is correct.
The solution -3x+12=-18 is x=10.
the area of square is 36 square meters. what is the length (in meters) of one side in the square
Answers
Answer:6m
Step-by-step explanation:
Square root 36m²
The required length of the side of the square is 6 meters.
Given that,
the area of the square is 36 square meters, what is the length (in meters) of one side in the square needs to be determined.
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of the polygon, equilateral triangle, square, pentagon, etc
Here,
Since all the sides of the square are identical and the square is a polygon also.
Area of square = (side)²
we have given the area of a square, i.e. 36
36 = side²
side = √36
side = 6 (since √36 = 6)
Implies length of its side is 6 meters
Thus, the required length of the side of the square is 6 meters.
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Three times the sum of a number and 12.
Answers
Answer:
3(x + 12)
Step-by-step explanation:
"the sum of a number and 12"
x + 12
"Three times the sum of a number and 12"
3(x + 12)
I need help help me please
Answers
pepper=3
that green stuff=18
salt=9
advacodo=6
Who statement is true
Answers
Answer:
C) f(2)=0 and g(-2)
Step-by-step explanation:
You start by looking at each graph and the given x values.
Check what value is at x=2 on the bue graph for your f(x), in this case it's 0. It's the same process for the red graph, g(x), which is 0.
Use money sentences to simplify: -10-5
Answers
Answer:
The answer is
-15: I owe $10. I owe $5.
What is 24 times 1 billion divided over by 2346
Answers
Answer: 10,230,179.02813299
Step-by-step explanation:
That would be your answer
Answer:
uh
Step-by-step explanation:
I need the Answer to the question plz
Answers
Answer:
9
Step-by-step explanation:
[tex]15-\frac{10}{5} -2^{2}[/tex]
[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]
I NEED HELP PLEASE !!!!
Answers
Answer:
1st choice 9 to the power of 4 times 8 to the power of 4 times
Step-by-step explanation:
(9 times 8) to the power of 4 means
9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8
and that is 9 to the power of 4 times 8 to the power of 4 times
Answer:
A
Step-by-step explanation:
Because (9*8)^4 equals 26873856
and 9^4*8^4 equals 26873856
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 2 and flipping heads? Write
your answer as a fraction in simplest form.
Answers
Answer:
1/3
Step-by-step explanation:
Which ordered pair is a solution of y = 4x? a. (3, 10) b. (-5, -20) c. (-20, -5) d. (1.5, 6)
Answers
Answer:
YOUR CORRECT OPTION IS B
B) (-5,-20)
y=4x
x= -5
y= -20
Putting values
-20 = 4(-5)
= -20 = -20
Thus, the correct answer is B
Answer:
b (-5,-20)
Step-by-step explanation:
the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true
Add. Express your answer as a fraction. Do not include spaces in your answer.
5 1/4 + 15.5
Answers
Answer:
20 3/4
Step-by-step explanation:
First, add together the whole numbers:
5 + 15
= 20
Then, add the fractions and decimals together:
Convert 1/4 to a decimal, which is 0.25
Add the decimals together:
0.25 + 0.5
= 0.75
Convert this to a fraction:
0.75 = 3/4
Then, add together 20 and 3/4
20 + 3/4
= 20 3/4
Answer:
83/4
Step-by-step explanation:
This is the right answer.
The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?
Answers
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
Add the following
- 62 + (- 65)=
Answers
Answer:
-127
Step-by-step explanation:
how can you find the value of the expression -5 + 12 + 10 - 7
Answers
Answer:
10
Step-by-step explanation:
what is 3x-15+6x+2=45
Answers
Answer:
x=58/9 fraction x=6 4/9
Step-by-step explanation:
Answer:
x = 6.44 (rounded)
Step-by-step explanation:
First, combine like terms:
3x + 6x + 2 - 15 = 45
(3x + 6x) + (2 - 15) = 45
(9x) + (-13) = 45
9x - 13 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 13 to both sides:
9x - 13 (+13) = 45 (+13)
9x = 45 + 13
9x = 58
Next, divide 9 from both sides:
(9x)/9 = (58)/9
x = 58/9
x = 6.44
Please help Asap almost done
Answers
Answer:
question 11 is d and question 12 is g hope it helps
Step-by-step explanation:
subtract 24.65from 75
add both fractions
Find the difference between 7/10 and 14/15
Answers
Answer:
the difference between the two fractions is 1/10
Step-by-step explanation:
when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.
The product of 6 and x is less than or equal to -37
Answers
Answer:
Step-by-step explanation:
6x≤-37
x≤-37/6
x≤ -6 1/6
A football match started by 10.25am and ended by 1.35pm. how long did it last?
Answers
Answer:
The match last for 3 hours and 10 minutes.
Step-by-step explanation:
Match started at 10.25 am
Match ended at 1.35 pm
We need to find how long did the match last.
Minutes between 10.25 am to 11 am = 35 minutes
Minutes between 1 pm to 1.35 pm = 35 minutes
Time between 11 am to 1 pm = 2 hours
Time between 10.25 am and 1.35 pm is :
T = 2 hours 70 minutes
But 1 hour = 60 minutes
T = 2 hours (60+10) minutes
T = 3 hours 10 minutes
It means the match last for 3 hours and 10 minutes.