answer:
2x²+2x-12
explanation:
(x + 3) (2x – 4) [ open the bracket ]
x(2x) -4(x) +3(2x)+ 3(-4) [ multiplication ]
2x²-4x+6x-12 [ simplify ]
2x²+2x-12 [ final answer ]
Answer:
We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.
We will get the polynomial: p(x) = 2 * x² + 2 * x - 12
Step-by-step explanation:
We just want to multiply (x + 3) and (2*x - 4).
So we start by writing:
(x+3) * (2*x-4)
Now we just expand this:
(x+3) * (2*x-4) = 2 * x² + x * (-4) + 3 * (2 * x) + 3 * (-4)
Now we need to simplify the above expression:
2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12
This is the polynomial we wanted to get:
p (x) = 2 * x² + 2 * x - 12
If you want to learn more, you can read:
brainly.com/question/11536910
A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality that represents this situation. Use the variable n to represent the number of students.
In order for a class to participate in the school's trivia contest, the class must have at least 15 students. Write an inequality that represents this situation.
Answer:
n < 18n ≥ 15Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
the number of students is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
the number of students is at least 15
translates to ...
n ≥ 15
The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.
Answer:
Hope this helps you.......
Step-by-step explanation:
[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]
Answer:
breadth = 12 cm and Length is 48 cm
Explanation:
Let the length be x,
then the breadth will be [tex]\frac{1}{4}[/tex]x
Formula for area of rectangle:
length * breadth
using the formula:
x * [tex]\frac{1}{4} x[/tex] = 576
x² = 4(576)
x² = 2304
x = √2304
x = 48
Therefore the Length is 48 cm
Then the breadth [tex]\frac{1}{4}[/tex] * 48 = 12 cm
Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick
Answer:
18.60
Step-by-step explanation:
Let's first know what commission meaning:
Commission: Commission is the amount of money an employee earns when they sell something
Now Let's Start Solving:
[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]
[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]
[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]
[tex]\frac{1860}{100}[/tex]
[tex]x= 18.60[/tex]
Hence, Helen earn $18.60 in Commission.
[RevyBreeze]
Answer:
Helen earned 18.60 commission, thank me later! :)
what is the relationship between slope and unit rate?
Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
Read more about z scores at:
https://brainly.com/question/25638875
The sum of several consecutive natural numbers is 2012. How many numbers were in that sum
Answer:
8
Step-by-step explanation:
first number = a, there are n numbers
so last number is a + n - 1
sum = [a + (a + n - 1)} * n/2 = (2a + n - 1) / 2 = 2012
n * (2a + n - 1) = 2012 * 2 = 4024
4024 is even, so n must be even, divisible by 2, 4, 8
4024 = 2 * 2012 = 4 * 1006 = 8 * 503
If n = 2, 2a + n - 1 = 2012, 2a + 2 - 1 = 2012, 2a = 2011, impossible.
If n = 4, 2a + n - 1 = 1006, 2a + 4 - 1 = 2a + 3 = 1006, 2a = 1003, impossible
If n = 8, 2a + n - 1 = 503, 2a + 8 - 1 = 2a + 7 = 503, a = 248
so n = 8, a = 248
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S
Answer:
26+10-S
Step-by-step explanation:
Answer:
26+10-S or 36-S
Step-by-step explanation:
She has 26 shells and collected 10 more
26+10
And the she gave her sister S shells
26+10-S or 36-S
lots of points for correct answer!
Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.
Determine the height of the quadrilateral. -
Determine the length of the quadrilateral. -
What shape do the points form?
What is the area of the quadrilateral?
What is the perimeter of the quadrilateral?
Answer:
height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 unitsStep-by-step explanation:
Height
The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:
4 -(-2) = 4 +2 = 6
The height of the figure is 6 units.
__
Length
The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:
4 -(-3) = 4 +3 = 7
The length of the figure is 7 units.
__
Shape
The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.
__
Area
The area of the quadrilateral is the product of its length and height:
A = LH
A = (7 units)(6 units) = 42 units²
The area is 42 square units.
__
Perimeter
The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.
P = 2(6 +7) = 26
The perimeter is 26 units.
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!
-7(5k - 4)
Simplify expression
Answer:
−35k+28
Step-by-step explanation:
the answer is -35k+28
i hope its right
The graph of a function f is shown above. What is the value of [tex]\int\limits^7_0 {f(x)} \, dx[/tex]
==============================================
Explanation:
Split the graph into separate regions (see the diagram below)
The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2
The area of the red trapezoid is
A = h*(b1+b2)/2 = 2*(1+2)/2 = 3
--------------
The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.
--------------
The pink triangle has a base of 1 and height of 2
area = base*height/2 = 1*2/2 = 1 square unit
--------------
The green triangle has an area of base*height/2 = 2*2/2 = 2 square units
--------------
For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.
The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.
Therefore, [tex]\displaystyle \int_{0}^{7}f(x)dx = 6[/tex]
Help please 10 points
Answer:
1, -2, -4, -6, -6.9, -6.99, -6.999
please help with step by step.
Answer:
60 ÷ 15
= 4 mins
the constant of proportionality for the number of 4 minutes to read 1 page.
la edad de selly. e es mayor que 15
can someone please help with my work!
Answer:
900 km i think
Step-by-step explanation:
umm so first 8*10=80%, then 4500-80%
what is 90 divided by 19 +607 divided by 1
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
Can you please help
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
Which of the following is not a right triangle?
a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86
Answer:
D) 40, 76, 86
Step-by-step explanation:
..........
What is the prob of an event that must happen.
Answer:
%100 Elon Musk going to Mars
Step-by-step explanation:
yes yes yes
i don't know if this is the answer you want
please mark brainliest i need 3 more
Add the decimals.
3.0001 +72
=
Answer:
75.0001
Step-by-step explanation:
Used a calculator
You must follow the order of operations to find the value of a numerical expression. Why?
Answer:
its so good out here whwere you frm
simplify the radical below
3√x^18
The radical is 3sqrt(x^18)
18/2=9
so, the radical is
3x^9
standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]hellllllllllllllllllllllllllllllpppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
That equals to 5x5x5 which 5x5x5 = 125
But the correct answer on that quiz is 1st I think
Step-by-step explanation:
Sorry if im wrong
What is the area of a circle with a diameter of 36 millimeters
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction.
Answer:
Your answer is 8/15.....