Expand and simplify (x + 2)(x + 1)
Answers
Answer:
x²+3x+2
Step-by-step explanation:
First you distribute the x, and then the 2.
x²+x+2x+2=x²+3x+2
Answer:
x^2 +3x +2
Step-by-step explanation:
(x + 2)(x + 1)
x^2 +x +2x+2
x^2 +3x +2
Related Questions
Please Help
Find (f+g)(x)if f(x)=4x2-5x+8 and g(x)=2x2+x-2
Answers
Answer: (f+g)(x) = 6x²- 4x + 6
Step-by-step explanation:
We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)
Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)
We are left with (f+g)(x) = 6x²- 4x + 6
Please help it’s due today!!!!!!
A traffic surveyor monitors traffic with a camera. She uses the camera as her 0 point. To represent a velocity going west she uses a negative number and to
represent east she uses positive numbers. If a cars has traveled 2.7 miles west in 3 minutes. What is the car's velocity?
Answers
Answer:
35
Step-by-step explanation:
because I took the test so I know that that's just right
What is the meaning of "The usual notation makes this identification transparent by writing every sequence (x1, x2, ..., xn) as a product or word x1x2· · · xn in the alphabet X"?
Answers
The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.
How is sequence notation and language related?In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.
Hence, the statement relates the symbols and sequences.
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for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
a bike was originally $102 and is on sale for 30% off. what is the discounted priice
Answers
Answer:
$71.4
Step-by-step explanation:
Answer:
$71.40
Step-by-step explanation:
an item with an original price tag of $102 that is marked down by 30% will have a sales price of $71.40 -- a savings of $30.60.
Translate the phrase into an algebraic expression.
The product of 8 and b
Answers
Answer:
8xb=a (answer)
Step-by-step explanation:
I hope this helps :)
Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. Answer exactly. 4 sin 30 ∘ =
Answers
The expression is simplified to 2
How to determine the valueIt is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.
From the table of exact values, we have that;
sin 15 = 0. 25
sin 30 = 0. 5000
sin 45 = 0. 7071
sin 60 = 0. 8600
sin 75 = 0. 9659
sin 90 = 1
To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000
4 sin 30°
⇒ 4 × 0. 5000
multiply through
⇒ 2
The value determined is 2
Thus, the expression is simplified to 2
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one more step by step guys
Systems of Equations
x+2y=6
5x+3y=2
Answers
Step-by-step explanation:
gatau gua gabisa bahasa inggris
I have to finish this
Answers
Answer:
x=3
180-120=60
that means that angle in the top is equal to half of 60 which is 30
so 5x+15=30
5x=15
x=3
solve for m. 6m – 8 = –3 + 3(m + 8)
Answers
1
1
from
2
2
.
6
m
−
8
=
9
m
+
1
1
from
2
2
.
6
m
−
8
=
9
m
+
1
PLEASE HELPPPPP!!!!!
Answers
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answers
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Please help ASAP. Thanks so much
Answers
Answer:
A. -3,-8
Step-by-step explanation:
That's the answer positive
Using a tape diagram what is 6 1/2 divided by 3/4? I know answer, but can’t seem to get it using the tape diagram
Answers
13/2 / 3/4
13/2 * 4/3
52/6
The answer is 8 and 2/3
19-x²
if x = -5
How would you solve this math problem?
Answers
The solution to the math problem is -6.
A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.
The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.
= 19 - ( - 5 ) ²
= 19 - ( 25 )
= 19 - 25
= - 6
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A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase
Answers
The percent increase of the profit is 15%
How to determine the percent increase of the profit?In this question, the figures are given as
Profit in March = £2750
Profit in April = £3162.50
The percentage of the increase of the profit is then calculated using the following equation
Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%
Substitute the known values in the above equation, so, we have the following representation
Increase percentage = (3162.50 - 2750)/2750 * 100%
Evaluate
Increase percentage = 15%
Hence, the increase in percentage is 15%
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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i need help on my study guide
Answers
The respective percentage representations of the given figure are 60,16.66,50,88.9
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Different representations
A) In fractions the representation can be interpreted as 3/5
in percentage terms we have
3/5 × 100 =60%
B) 1/6
1/6 × 100=16.66 %
C) 3/6=1/2
1/2 × 100 =50%
D) 8/9
8/9×100
=88.9%
Thus the respective percentage representations of the given figure are 60,16.66,50,88.9 all in percentages.
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16x²+9y²-32x + 36 y-92=0
Write your equation here: (standard form)
What are the coordinates of the center?
What are the coordinates of the vertices?
What are the coordinates of the co-vertices?
How long is the major axis?
How long is the minor axis?
What is the value of "c"?
What are the coordinates of the foci?
What is the value of the eccentricity?
Domain:
Range:
Answers
The given ellipse has been drawn with the all required data.
What is an ellipse?a regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.
As per the given equation,
16x² + 9y² - 32x + 36y - 92 = 0
(4x - 4)² + (3y + 6)² - 56 = 16 + 36
(4x - 4)² + (3y + 6)² = 108
16(x - 1)² + 9(y + 2)² = 108
(x - 1)²/(108/16) + (y + 2)²/(108/9) = 1
(x - 1)²/(108/16) + (y + 2)²/(12) = 1
The above is the equation of an ellipse with a center (1,-2).
The coordinates of the vertices are (1,1.464) and (1,-5.464).
Length of major axis = 2√12
Length of minor axis = 2√(108/16)
The value of c = √(a² – b²)
c = √(12 - 108/16)
c = 2.29
The coordinate of the foci is will be as,
F₁ = (-1.29,-2)
F₂ = (3.29,-2)
The value of the eccentricity e = c/a
e = 2.29/√(108/16)
e = 0.88
Domain = (-1.6,-2)
Range = (3.6,-2)
Hence "The supplied ellipse has been drawn using all necessary information".
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Solve for x: 5 − (x + 5) > −2(x + 4) The graph shows a number line with an open circle at negative eight and shading to the right. The graph shows a number line with an open circle at negative eight and shading to the left. The graph shows a number line with an open circle at negative eighteen and shading to the right. The graph shows a number line with an open circle at negative eighteen and shading to the left.
Answers
The solution of x in the inequality is x > -8
How to solve for x in the inequality?The inequality is given as:
5 - (x + 5) > -2(x + 4)
Open the brackets
5 - x - 5 > -2x - 8
Evaluate the like terms
-x > -2x - 8
Add 2x to both sides of the inequality
2x - x > 2x - 2x - 8
Evaluate the sum
x > -8
Hence, the solution of x in the inequality is x > -8
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The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answers
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
I need some help on this math question. Please explain how you found the answer too!
Answers
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volumes the same? A. Yes, because the heights are the same, and the cross-sectional areas at every level parallel to the bases are also the same. B. Yes, because the figures are congruent. C. No, because only the bases have the same area, not every cross section at every level parallel to the bases. D. No, because the heights are not the same.
Answers
The statement that correctly answers the question "A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volumes the same?" is "No, because only the bases have the same area, not every cross-section at every level parallel to the bases."
Explanation: A square prism is a three-dimensional shape that has two square bases that are parallel to each other, and every side is a rectangle. In contrast, a square pyramid is a three-dimensional figure that has a square base and triangular faces that meet at a point called an apex or vertex. The height of a square pyramid is the distance from the base to the apex.
Therefore, the volume of a square prism can be calculated by multiplying the area of the base by the height, whereas the volume of a square pyramid can be determined by multiplying the area of the base by one-third of the height.
Thus, even though the base length is 5 m in both cases, the cross-sectional areas at every level parallel to the bases in a square pyramid are not the same. This implies that the answer is No, because only the bases have the same area, not every cross-section at every level parallel to the bases.
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Task 8: Solving for Systems of Linear Equations: Determining "intersection" point.
By successfully writing equations to define each red line, you are now to solve for where those
lines might meet on your coordinate grid.
•
●
●
Select two lines, preferably two that cross on your blueprint, and use the substitution
method to solve for their intersection point.
Mark each intersection point using a YELLOW POINT on your blueprint.
Repeat this for a total of three intersecting lines.
Example problem:
Y = -2X + 14 and Y = 3X-7
Intersection point = (4.2, 5.6)
-2X+14=3X-7
-2X=3X-21
5X=-21
X = 4.2
Y = -2(4.2) + 14
Y = -8.4 + 14
Y = 5.6
Answers
Marking the intersection points on the blueprint with yellow points:
Intersection point of Equations 1 and 2: (7, 0)Intersection point of Equations 1 and 3: (11.2, -8.4)Intersection point of Equations 2 and 3: (3.6, 3.8)How to determine intersection point?To solve for the intersection points of three lines.
Equation 1: Y = -2X + 14
Equation 2: Y = 3X - 7
Equation 3: Y = 0.5X + 2
To find the intersection point of Equations 1 and 2, use the substitution method.
Substituting Equation 1 into Equation 2:
-2X + 14 = 3X - 7
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 3X + 2X - 7 - 14
14 = 5X - 21
Adding 21 to both sides:
14 + 21 = 5X
35 = 5X
Dividing both sides by 5:
X = 7
Now substitute X = 7 back into Equation 1 to find the corresponding Y value:
Y = -2(7) + 14
Y = -14 + 14
Y = 0
Therefore, the intersection point of Equations 1 and 2 is (7, 0).
To find the intersection point of Equations 1 and 3, use the same substitution method.
Substituting Equation 1 into Equation 3:
-2X + 14 = 0.5X + 2
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 0.5X + 2X - 14
14 = 2.5X - 14
Adding 14 to both sides:
14 + 14 = 2.5X
28 = 2.5X
Dividing both sides by 2.5:
X = 11.2
Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:
Y = -2(11.2) + 14
Y = -22.4 + 14
Y = -8.4
Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).
To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:
3X - 7 = 0.5X + 2
Subtracting 0.5X and adding 7 to both sides:
3X - 0.5X = 0.5X + 2 + 7
2.5X = 9
Dividing both sides by 2.5:
X = 3.6
Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:
Y = 3(3.6) - 7
Y = 10.8 - 7
Y = 3.8
Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).
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1. Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400. (a) Give the domain and range of the function. (b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation. (c) Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation? (d) Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.
Answers
Answer:
a) 0 ≤ d ≤ 21 . . domain; 0 ≤ B ≤ 400 . . range
c) B(12) = 0
d) 4th segment
Step-by-step explanation:
(a) The domain of the function B(d) is from d = 0 to the number of days the account was open:
0 ≤ d ≤ 21 . . . . domain
The range is the set of values the bank balance might have. We know the minimum is 0 and the maximum is 400:
0 ≤ B ≤ 400 . . . . range
__
(b) (missing question content)
__
(c) The balance on day 12 is B(12). We're told it is zero, so...
B(12) = 0
__
(d) The 4th segment of the graph is at B(d) = 0.
In this context, it is reasonable to assume the vertical scale starts at 0 at the horizontal axis. We are told that (12, 0) is a point on the graph. It is consistent with this assumption that slightly more than halfway through the graphed domain, the graph meets the horizontal axis. The graph stays at the horizontal axis for "segment 4."
Which pair of triangles can be proven similar by the AA ~ Postulate?
Answers
Answer: c
Step-by-step explanation:
The pair of triangles that can be proven similar by the AA ~ Postulate is triangle AXB and QXR.
The correct option is (C).
What is Similarity of Triangles?When the ratio between two triangles' sides is the same and both triangles' angles are equal, a triangle is said to have two equal sides.
Given:
In figure C,
In triangle AXB and QXR
<BAX = <QRX (given)
<AXB = QXR (Vertical opposite angle)
So, AA similarity Criteria triangle AXB and QXR is similar.
Hence, Figure C is following AA similarity.
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Calculate the bearing of Y from X
Answers
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
A rectangular prism has a legth of 5 1/4 m, a width of 4m, and a height of 12 m.How many unit cubes with edge lengths of 1/4 m will it take to fill the prism? what is the volume of the prism?
Answers
Volume of a cube with edge lengths of 1/4m:
\(\begin{gathered} V_{cube}=l^3 \\ \\ V_{cube}=(\frac{1}{4}m)^3=\frac{1^3}{4^3}m^3=\frac{1}{64}m^3 \end{gathered}\)Volume of the rectangular prism:
\(\begin{gathered} V=l\cdot w\cdot h \\ \\ V=5\frac{1}{4}m\cdot4m\cdot12m \\ \\ V=\frac{21}{4}m\cdot4m\cdot12m \\ \\ V=252m^3 \end{gathered}\)Divide the volume of the prism into the volume of the cubes:
\(\frac{252m^3}{\frac{1}{64}m^3}=252\cdot64=16128\)Then, to fill the prism it will take 16,128 cubes with edge length of 1/4 m12 = -4(-6x - 3)
Please help me find this answer
Answers
Answer: \(\Large\boxed{x=0}\)
Step-by-step explanation:
Given equation
12 = -4(-6x - 3)
Divide -4 on both sides
12 / (-4) = -4(-6x - 3) / (-4)
-3 = -6x - 3
Add 3 on both sides
-3 + 3 = -6x - 3 + 3
0 = -6x
Divide -6 on both sides
0 / -6 = -6x / -6
\(\Large\boxed{x=0}\)
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