Answer:
3(5x^2+7x+2)
Step-by-step explanation:
(5x+2)(3x+3)
I use the foil method, but if you need to use a different method you can look online at how it is done, but this should give you the correct answer.
First
Outside
Inside
Last
First you multiply 5x and 3x together (the first values in each bracket), which gives you 15x squared (15x^2)
Then you multiply the 5x and 3 (the values on the "outside" of the equation --> first and last) which gives you 15x
Then you multiply the "inside" values (the ones in the middle of all the terms), which is 2 and 3x, and gives you 6x
Last you multiply the 2 values that are last in each bracket, 2 and 3, which gives you 6
So then you put then in order of the exponent
15x^2+15x+6x+6
Then you collect like terms (which means terms that have the same number of the variable) and you're left with the answer
15x^2+21x+6
Then most likely you need to further simplify and you can common factor a number out (take the highest number that evenly mutiplies into each term and divide it out of each), so that you have,
3(5x^2+7x+2)
Point A B and C are given above. What point is missing to make a parallelogram
I think D at (2,1) will do
hope it helps...!!!
Answer:
(-1 , -1)
Step-by-step explanation:
let D be the missing point
D lie on the line that passes through the point A and parallel to the line BC
D lie on the line that passes through the point C and parallel to the line AB
Then D is the intersection of those two lines
Then D is the point of coordinates (-1 , -1)
A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height changed over the month. What type of display should she use? Explain.
Answer:
Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.
The scatter plot display should used to records the height of a plant every day for a month.
What is scatter plot?Scatter plot is a "set of points plotted on a horizontal and vertical axes"
According to the question,
A graph to show how the plant's height changed over the month. A
scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month .
Hence, scatter plot display should used to records the height of a plant evert day for a month.
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Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total, Farrah made 19 shots.
Create two unique equations that model the number of 2-point shots, x, and the number of 3-point shots, y, that Farrah made in the game.
Farrah's unique equations is an illustration of system of equations
The unique equations are 2x + 3y = 42 and x + y = 19
How to create the system of unique equations?The given parameters are:
Total shots = 19 shots2-point shots = x3-point shots = yTotal points = 42The total points is represented as:
2x + 3y = 42
The total shots is represented as:
x + y = 19
Hence, the unique equations are 2x + 3y = 42 and x + y = 19
Read more about system of equations at:
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please help!! Find the center and radius of the circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Submit Answer
Answer:
circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
if you know the answer lmk!!
Answer:
32.370705543744904
Step-by-step explanation:
If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The per capita growth rate is given as:
per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%
In one year, population = 200 + (0.05 * 200) = 210
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
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When you line the data from low to high and take the middle number you are finding the...
O mean
O median
O mode
O range
What data are represented by the stem-and-leaf
plot below
Answer: A. = 37,38,39,41,43,47,52,54
Step-by-step explanation:
The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)
Therefore, we find a chronological list of numbers, such as:
37,38,39,41,43,47,52,54
This list is the answer Choice of A.
Hope this Helped!
How many hours of work are included in a $190 bill for a book project?
Answer:
C. [tex]5\frac{1}{2}[/tex]
Step-by-step explanation:
\$190 includes flat \$25 of editing charges.
->Charges of work on book project
= $190 - $25 = $165
Per hour charges = $30 (given)
No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]
Please help! Will mark brainlyest.
Answer:
C. -3 is less than -5
Step-by-step explanation:
Suppose ABCD is a rectangle, F and G are points on
DC
such that
DF = GC, and
A(F) ∩ BG = E. Prove that DE = CE.
(I had to put parentheses around the F or else Brainly would think I'm swearing, just so you know. )
The two sides are equal and for that reason DE = CE as shown below :
AD = BC, DF = GC
E = A(F) and E = BG, therefore A(F) = BF
Description of rectangle
Now we all know that a rectangle has four edges which are A, B, C, D.
when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )
From the question we know that DF = GC
E is the intersection of A(F) and BG
we can now Prove that DE = CE.
since D and C are point included in E and since this is a rectangle
AD = BC, DF = GC
E = A(F) and E = BG, therefore A(F) = BF
DE = CE
We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE
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help please for questions 1-6:)
Answer:
Actually, I am not sure about the Ans of 6 no.
please mark me brilliant
Which number line shows a graph of the inequality x > - 25
Answer:
I think it's b
Step-by-step explanation:
its at -25 and the arrow is going the way the > points
There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Write a proportion you can use to find the number of boys.
Answer:
If the first proportion is 3 to 5
We can add a second proportion can be found by ✖ both number by any other numbers
Like multiply. By 2.we get
[tex]6 \: to \: 15[/tex]
Which function in vertex form is equivalent to f(x) = 4 x2 – 2x? f(x) = (x – 1)2 3 f(x) = (x – 1)2 5 f(x) = (x 1)2 3 f(x) = (x 1)2 5
The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
The function given in the problem is,
[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]
Add and subtract (-1)² in the above function,
[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]
Use the formula of whole square,
[tex]f(x)=(x-1)^2+3[/tex]
This is the required vertex form.
Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.
Learn more about the vertex form of the parabola here;
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LOCKS IN 10 MIN! WILL GIVE BRAINLEST!
Answer:
0.952
Step-by-step explanation:
Given :
opposite side of 80 inchesadjacent side of 84 incheshypotenuse of 116 inchesSolving :
tan(θ) = opposite / adjacenttan(θ) = 80/84 = 20/21tan(θ) = 0.952Answer:
4th option
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )
Lines j and k are parallel and intersected by line e. What is the value of x?
Answer:
x = 38
Step-by-step explanation:
We can set both angles equal to 180° since they are same side interior angles;
(2x - 10)° + 3x° = 180°
5x - 10° = 180°
5x = 190°
x = 38
Hope this helps!
does anyone know what 3x4/5x6 is
Answer:
12/30 or 6/15
Step-by-step explanation:
3x4=12
5x6=30
12/30
simplified would be 12/30 divided by 2/2
the answer is 6/15
Answer:
3x4=12 and 5x6=30
Step-by-step explanation:
This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.
A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?
{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}
(HHH, TTT, HTT, THH, THT}
{HH, TT, HT, TH}
{HTT, HHT, TTH, THH, HTH}
Answerit is false
Step-by-step explanation: smart
Donna bought 3 bags of dog treats for $6.15. What is the cost per bag of dog treats? A. $0.49 B. $9.15 C. $3.08 D. $2.05
Answer:
$2.05
6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.
Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. calculate korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5% please select the best answer from the choices provided a b c d
Answer:
76.3%
Step-by-step explanation:
If korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%
Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.
We need to find the korey’s gross profit margin
The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.
we can calculate Korey's gross profit margin as:
(Gross Profit / Net Sales) x 100%
= (3320 / 4350) x 100%
= 76.32%
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Please, help with this question!
Answer:
arc AM = 114°
Step-by-step explanation:
the measure of a tangent- chord angle is half the measure of its intercepted arc, that is
∠ MAC = [tex]\frac{1}{2}[/tex] (AM )
57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )
114° = AM
The circumference of a circle is 141.3 inches. What is the radius? Use 3.14 for /pi
Answer:
22.5
Step-by-step explanation:
Radius = Circumference / (2*PI 3.14) = 22.5
HELP PRETTY PLEASE
The scatter plot below shows the relationship between the number of bill.
The most appropriate prediction of the grocery bill for a family that
consists of six members is
(1) $100
(2) $300
(3) $400
(4) $500
Answer:
$300
hope this helps :)
Match each area to its corresponding radius or diameter of the circle.
Answer:
For radius = 12 the area = 452.16
for diameter = 16.8 the area = 221.5584
for radius = 3.4 the area = 36.2984
for diameter =10 the area = 78.5
Step-by-step explanation:
What is the volume?? 23pts
Answer:
96π mm^3
Step-by-step explanation:
πr^2*h = formula
π4^2*6 = 16π(6) = 96π mm^3
Answer:
[tex]\Longrightarrow: \boxed{\sf{96\pi }}[/tex]
Step-by-step explanation:
You must use the volume of this cylinder formula to solve the volume of this cylinder.
Volume of this cylinder formula:
[tex]\Longrightarrow: \sf{\pi r^2*h}[/tex]
R² =4²mmH (height) =6mm[tex]\Longrightarrow\sf{\pi 4^2*6}[/tex]
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtractFirst, solve exponents.
4²=4*4=16
16*6
Multiply.
16*6=96
[tex]\Longrightarrow: \boxed{\sf{96\pi}}[/tex]
Therefore, the correct answer is C. 96π.I hope this helps! Let me know if you have any questions.
If f(x) = 2x^3 +6x^2+2x - 10 and f(1) = 0, then find all of the zeros of f(x) algebraically.
Answer:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]
And we want to find all zeros of f algebraically.
Since f(1) = 0, then (x - 1) is a zero of f.
We can hence factor by synthetic division:
[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]
Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]
From the quadratic formula:
[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]
Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]
?????????????????????????????????????????????
area of semi circle= (1/2).π.r²
(1/2)×3.14×14×14
307.72 cm²
Melanie spent half of her allowance going to the movies. She's washed the family car and earned 6 dollars. What is her weekly allowance if she ended up with fifteen dollars??
(I will mark brainliest)
Given tan(8) = 4/3 and sin(8) = -4/5, find cos(8).
A. 1/3
B. -1/3
C. 3/5
D.-3/5
E. -3squared/5
I assume you mean β in place of 8.
Remember that tangent is defined as
tan(β) = sin(β) / cos(β)
so that
cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]