Answer: 12x² - 5x - 2
Concept:
When doing questions that need to expand algebraic expressions, using the FOIL method will ease the process:
First means that we multiply the terms which occur in the first position of each binomial.Outer means that we multiply the terms which are located in both ends (outermost) of the two binomials when written side-by-side.Inner means that we multiply the middle two terms of the binomials when written side-by-side.Last means that we multiply the terms which occur in the last position of each binomial.Solve:
Given expression
(3x - 2) (4x + 1)
Expand parentheses and apply the FOIL method
First: 3x · 4x = 12x²
Outer: 3x · 1 = 3x
Inner: (-2) · 4x = -8x
Last: (-2) · 1 = -2
12x² + 3x - 8x - 2
Combine like terms
12x² + (3x - 8x) - 2
[tex]\boxed{12^2-5x-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What numbers are a distance of unit from on a number line?
Select the locations on the number line to plot the points.
+
+
00 T
7
+100
+100
6
8
CON+
colon
7
1
1 0
8
00W+
1
1
8
+00
2
8
00 10+
1
N 00
-
100
00 IN
00
Answer: C
Step-by-step explanation:
Answer: yes
Step-by-step explanation: just tryna get points
Hello, Can anyone help me, please!
I need it done by tonight. Is my homework. Is due today! I'm struggling.
(Please show your work please thanks <3)
Step-by-step explanation:
46. The midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
Using this info,
We already know EF=11 so
[tex] \frac{1}{2} (8 + 2x - 4) = 11[/tex]
[tex]x + 2 = 11[/tex]
[tex]x = 9[/tex]
53. Apply Midpoint Formula
[tex]( \frac{x1 + x2}{2} \: and \: \frac{y1 + y2}{2} )[/tex]
Let find the midpoint of each side
KL (+2a/2, +2a/2), LM(-2a/2, 2a/2) MN(-2a/2, -2a/2) NK(2a/2, -2a/2)
So the midpoint of each side is
KL=(a,a)
LM= (-a,a)
MN=(-a,-a)
NK=(a,-a).
The slopes of these line is y2-y1/x2-x1
KL=2a/-2a=-a
LM=-2a/-2a=a
MN=-2a/2a=-a
NK=-2a/-2a=a
Let find the length of all sides. Since each coordinate has a form of 0 in it, we would just consider the finite value, 2a.
Distance of all sides are 2a.
Consider the midpoint, notice how each midpoint can be obtained by a rotation of 90-180-270 or 360 degrees about the origin of one of the midpoints. Since all the side lengths and slope are equal, a rigid transformation like a rotation would preserve the side lengths and midpoint of each line. It also proves rotational symmetry and the only 4 figure quadralaterial that has a 90,180,270, and/or 360 degrees rotational symmetry is a square.
2.4(0.81)
what do i do to solve this problem?? do i multiply and what are the steps
Answer:
1.944
Step-by-step explanation:
if the problem was written just like the 2.4(0.81) then yes you multiply
For a project in her Geometry class, Madelyn uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 8.75 meters from her
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
1.65 m
1.
1.7 m
-8.75 m
An image is always formed at the back of a mirror. Thus, the appropriate option is D. -8.75 m. The flagpole is 8.75 m tall.
Let the angle of depression from Madelyn's point of view be represented by θ. Then applying the required trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.65}{1.7}[/tex]
Tan θ = 0.9706
θ = [tex]Tan^{-1}[/tex] 0.9706
= [tex]44.2^{o}[/tex]
θ = [tex]44.2^{o}[/tex]
Let the height of the flag be represented by h. And for a given mirror, the angle of incidence is equal to that of reflection. Then;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{h}{8.75}[/tex]
0.9706 = [tex]\frac{h}{8.75}[/tex]
h = 0.9706 x 8.75
= 8.49275
h = 8.5 m
Since the image is formed at the back of the mirror, then the flagpole is 8.5 m.
Therefore the appropriate answer is option D. -8.75 m
Visit: https://brainly.com/question/14374661
Answer:
10.77
Step-by-step explanation:
i did it
Given A = {a, b, c}, how many subsets does A have including ∅?
4
7
8
Answer:
8 is the answer
hope this helps you.
Bridget collected the eggs her chickens had laid and gave ½ to her neighbor. She used 6 of the remaining eggs to make breakfast. She has 8 eggs left. The number of eggs, e, that Bridget originally collected is represented by the equation below.
(e/2)-6=8
How many eggs did Bridget collect from the chickens this morning?
The number of eggs, Bridget collect from the chickens this morning is 28.
Given that, Bridget collected the eggs her chickens had laid and gave ½ to her neighbor.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The equation for the given situation is (e/2)-6=8
⇒ e/2 = 8+6
⇒ e/2 = 14
⇒ e = 28
Hence, the number of eggs, Bridget collect from the chickens this morning is 28.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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The number of eggs will be 28, which Bridget collected from the chickens this morning.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that, Bridget collected the eggs her chickens had laid and gave ½ to her neighbor.
The equation below represents Bridget's original collection.
⇒ (e/2) - 6 = 8
⇒ e/2 = 8 + 6
Apply the addition operation,
⇒ e/2 = 14
Multiply by 2 into both sides of the above equation
⇒ 2 × e/2 = 2 × 14
⇒ e = 28
Therefore, the number of eggs will be 28, which Bridget collected from the chickens this morning.
Learn more about the equations here:
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What is the measure of AngleDCF?
19pts
Answer:
129 degrees.
Step-by-step explanation:
You can see that DCF is a combination of angles DCE and ECF which is 75 and 54. 75+54 would give you 129 degrees.
Given the following measurements, calculate the minimum and maximum possible object. Round to the nearest square whole square unit.
The length of and width of a bookcover 22.2 centimeters and 12 Ret centimeters, respectively.
Answer:
28.3 centimeters and 21 centimeters
Step-by-step explanation:
28.3 + 0.05) cm, so 28.25 cm ≤ length < 28.35 cm.
What is the Triangle Congruence Theorem and is it congruent?
Answer:
Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. We use the symbol ≅ to show congruence. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match.Step-by-step explanation:
Pls show how you did it I really need help it’s due tomorrow! PLEASE HELPPP
Answer:
0
Step-by-step explanation:
3x-3+x=4x-3
First you need to combine like terms on the left side of the equation
3x-3+x the like terms are 3x and x, remember there is always an invisible 1 next to x
add them:
3x+x=4x
so now we have
4x-3=4x-3
- we are subtracting 3 on both sides of the equation add 3 to cancel out the three
4x-3 4x-3
+3 +3
- The threes cancel out so we are left with
4x=4x
x=0
I hope this helps, I'm sorry if I'm wrong!
Answer:
0
Step-by-step explanation:
ok ok ok ok ok ok ok ok ok ok
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy?
.
Answer:
She will need to buy 39.75 meters of foam
Step-by-step explanation:
You babysat your neighbors children and they paid you $45 for 6 hours what's the independent variable
what is bigger 15/3 or √30
Answer:
√30 is bigger
Step-by-step explanation:
you have to put both of the numbers in a decimal form, once you do that √30 is the bigger number.
PLEASE HELP ASAP
The current population of Allentown, Texas is 800 people.
If the population is increasing at a rate of 3% each year,
which equation could be used to determine the town's
population y after x years?
b
y = 800(1.03)
y = 800(3)
y = 800(0.03)
y = 800(x)3 =
Answer:
y = 800(0.03)
Hope it helps :D
2x^2(6x^3-3x+1) need help
Answer:
12x^5-6x^3+2x^2
Step-by-step explanation:
Solve the equation for x: x/3+7=-5
A. -36
B. -22
C. -6
D. -4
Answer:
x = -36
Step-by-step explanation:
x/3+7=-5
Subtract 7 from each side
x/3+7-7=-5-7
x/3 = -12
Multiply each side by 3
x/3*3 = -12*3
x = -36
Answer:
A
Step-by-step explanation:
[tex]\frac{x}{3}[/tex] + 7 = - 5 ( multiply through by 3 to clear the fraction )
x + 21 = - 15 ( subtract 21 from both sides )
x = - 36 → A
Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s profit P(n), as a function of the number sold, n?
P(n)=0.85n-120
P(n)=-0.85n+120
P(n)=0.35n
P(n)=1.55n-120
7. Jorge wants to ride his bicycle 31 miles this week. He has already ridden 13 miles. If he rides for
3 more days, write and solve an equation which can be used to determine m, the average
number of miles he would have to ride each day to meet his goal.
Answer:
he has to ride 6 miles 1 once day
Pls help me in this…..,.,.,,……..
Answer:
4.96 • 10^10
Step-by-step explanation:
hope this helps :)
What is 75% of 400? Write and evaluate an expression
to find the answer. Then explain how to use the model
to justify the answer
Answer:
The answer is 300
Step-by-step explanation:
so first you do 100% of 400 which is 400 then you do 400 divided by 4 because it is counted from 25%, 50%, 75%, and 100%.
after that when u get the answer for 400 divided by 4 which is 100 you do 100 times 3 which is 300.
hope this helps :D
Answer:
75% of 400 is 300. Equation- (75×400) ÷ 100=300 (Im not sure what the model is because it was not included in this question but hopefully this helped solve the first part of your question.)
Step-by-step explanation:
Multiple 75*400
You would get 30,000, then take that 30,000 and divide it by 100
You get 300, which is the answer for the first part of the question.
Find the volume of A cube with sides of length 13 meters.
Answer:
V=2197
Step-by-step explanation:
between which two consecutive whole numbers does the square root of 58 lie between
Answer:
7² and 8²
Step-by-step explanation:
The square root of 58 rounded to the nearest tenth is 7.6², which lies between 7² and 8²
What fraction of 2 cubic yards is 4 cubic feet?
Answer:
27 cubic feet
Step-by-step explanation:
se know that because one yard is 3x3x3 27
Perform the indicated operation. 7 1/8 x 5 2/3
[tex]7 \frac{1}{8} \times 5 \frac{2}{3} \\ \\ \frac{57}{8} \times \frac{17}{3} = \frac{969}{24} \\ \\ = \frac{323}{8} = 40.375 = 40 \frac{3}{8} [/tex]
I hope I helped you^_^
2. Ifj(x) = x2 + 1, find j(a + 1).
Step-by-step explanation:
if you mean x multiply 2 :
j(x) = 2x + 1
j(a+1) = 2(a+1) + 1
= 2a+ 2 +1
=2a + 3
if you mean x to the power of 2
j(x) = x^2 +1
j(a+1) = (a+1)^2 + 1
= a^2 + 2a + 1 +1
= a^2 + 2a + 2
If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?
Step-by-step explanation:
I hope it helped U
The diagram shows a rectangle ABCD. The point A is (2, 14), B is (−2, 8) and C lies on the x-axis. Find
(i) the equation of BC,
(ii) find coordinates of C and D
Answer:
Step-by-step explanation:
since AB and BC are perpendicular so AB.BC=0, (scalar product)
AB=(-4, -6), and BC=(xc+2, yc-8)
AB.BC= -4x-8-6y+48 =0
so the equation of BC is 2x+3y-20=0
C is on the line BC, so 2xc+3yc-20=0, but yc=0, so xc=20/2=10
AB and CD are parallel, so det(AB, CD)=0
AB and AD are perpendicular so AB.AD=0
AB=(-4, -6) and CD =(x-10, y), AD= (x-2, y-14)
det(AB, CD)=0
x-10-y = 0 equivalent to x-y = -10
AB.AD=0
-4x+8-6y+84=0 equivalent to 2x+3y=44
let's solve
x-y = -10
2x+3y=44
-5y = -64, y = 64/5, x= -10+64/5=14/5
finally D(14/5, 64/5)
Help me with this please I’d appreciate it
The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]
[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]
Number three please :))
Answer:
can u add a picture of what u want help with please
Step-by-step explanation:
Jill simplified the expression shown.
4x – 2y – x + 5y – 8
What is the coefficient of the x-term of the fully simplified expression?
3
4
6
8
