Answer:
3x³ + 5x² + 4x + 4
Step-by-step explanation:
Given
(x + 2)(x² + x + 2) + 2(x³ + x²)
To expand the product, each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis
= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms
= 3x³ + 5x² + 4x + 4
Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1
Are the triangles congruent? and why?
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Use the information provided to write the equation of each parabola in vertex form and intercept form.
Please help I have searched this question and have not found it yet so please help me answer this, I am bad at math
You want to go to Africa for a photo safari. You need $2,800. You can get $1,000 from your savings and family and you can save $30 per week. How many weeks will it take you to save up the money for the trip?
A. 127 weeks
B. 60 weeks
C. 93 weeks
D. 84 weeks
Please select the best answer from the choices provide
Answer:
B 60
Step-by-step explanation:
because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.
the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1
Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
59.5 is what percent of 17 ?
Answer:
350%
Step-by-step explanation:
59.5÷17=3.5
3.5•10=350
350%
Round 639,121 to the nearest ten thousand.
Answer:
640,121
Step-by-step explanation:
Explain the difference between equilateral and equiangular :)
An equilateral polygon has congruent sides, like a rhombus.
An equiangular polygon has congruent interior angles, like a rectangle.
In other words: Equilateral doesn't necessarily have congruent INTERIOR angles while equiangular does have/need congruent interior angles.
In 2008, the number of tourists visiting France was 7.94 x 10^7. The number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the number of visitors.
Answer:
[tex]36700000[/tex]
Step-by-step explanation:
Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]
[tex]= 3.67[/tex] × [tex]10^{7}[/tex]
[tex]= 36700000[/tex]
[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.
BRAINLIEST TO RIGHT WITHOUT WORK
If you increase the length of a rectangle by 50% and the width by 100% by what percent will the area of this rectangle increase
Answer:
200%
Step-by-step explanation:
if you substitute in numbers you'll find this as the answer.
as an example:
suppose the sides of the rectangle was 1 unit long.
area before change: 1 * 1 = 1
then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )
the width gets increased by 100% making it 2 ( 1 + 1 = 2 )
new area: 1.5 * 2 = 3
1 increased by 200% is 3, therefore the answer is 200%
The next model of a sports car will cost 4.7% less than the current model the current model cost 31000. How much will the price decrease in dollars? What will be the price next model?
decrease in price $_
price of next model $_
please help me !
Step-by-step explanation:
decrease value is 1353
value 31,647
Daisy is reading a 47 pg book. She read the first 20 pgs in 6 minutes. How long will it take her to read the entire book?
Answer:
About 15 minutes
Step-by-step explanation:
It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.
Please answer!!
During what times is Ann driving a consistent speed? Give a reason to support your answer
Answer:
There are 3 intervals where Ann is driving a consistent speed
Between 1 and 4 minutes, Between 6 and 8 minutesBetween 9 and 11.5 minutes==========================================================
Explanation:
When she drives a consistent speed, this means her speed is the same.
This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.
The intervals where the graph is flat are mentioned at the top in the answer portion.
Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.
In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).
Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.
The scale drawing of a building has a width of 6 inches and a height of 8 inches. If the height of the actual building is 48 feet, what is the width?
Answer:
36 feet
Step-by-step explanation:
48/8=6 so you need to multiply the 6 by 6 as well which gives you 36
5x + 2x + 2 = 9x + 4
Step-by-step explanation:
Given
5x + 2x + 2 = 9x + 4
9x - 5x - 2x = 2 - 4
9x - 7x = - 2
2x = - 2
x = - 2 / 2
Therefore x = -1.
therefore lhs is equal to rhs
Imani is taking apart a beaded necklace to make 4 identical bracelets. The necklace has 48 beads. How many beads will Imani use for each bracelet?
Answer:12 beads
Step-by-step explanation: If she has 48 beads and wants to make 4 bracelets, you will have to divide 48 by 4 which gives you 12
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]
[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]
[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]
[tex]n^{2}+n = 2\cdot A[/tex]
Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
[tex]n^{2}+n -2\cdot A = 0[/tex] (1)
If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:
[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]
Since length is a positive variable, the only possible solution is:
[tex]n\approx 5.437\,cm[/tex]
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
My teacher can grade 25 homework assignments in 20 minutes. Is she working at a faster rate or slower rate than Ms. Jones, who is grading 36 homework assignments in 30 minutes?
Answer:
Ms.Jones is faster
Step-by-step explanation:
99-45f+36b in factored form
Please help ASAP 15 points
Answer:
B
Step-by-step explanation:
The answer is B because it tells you the letter atound triangle.
Answer:
b
Step-by-step explanation:
y-28=95
y-28+ ? =95+28
y=?
Answer:
Step-by-step explanation:
y -28 = 95
y-28 + 28 = 95 +28
y=123
dummy ;)
simplify the product. write (x + 2)(x − 5) in standard form. Show your work
Answer:
x^2-3x-10
Step-by-step explanation:
Answer:
The answer is x²-3x-10
Step-by-step explanation:
(x + 2)(x − 5)
x²-5x+2x-10
x²-3x-10
Your local grocery store is having a special on soda. they're selling a 12- pack of 12 oz cans for $4.75. The 20 oz. bottles are also on sale for $0.90. Should you buy one 12-pack of 12 oz.cans or seven 20 oz. bottles?
Answer:
12 pack
Step-by-step explanation:
12 pack = $4.75
1 bottle = $0.90
7 × 0.90 = $6.30
WORTH ALOT OF POINTS!!
Which of the following amounts could be represented by the whole tape diagram?
Answer:
B is the answer!!!
Step-by-step explanation:
the tape diagram shows this
Answer:
New salary after 30% raise , Ketchup in a bottle containing 30% more ketchup
Step-by-step explanation:
A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.
A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.
Answer: A) 90.75 ft.
Step-by-step explanation: because if we cut 10 from 100 we will get 90
Jamal drew angle bisector AD with D on the line segment BC. If BD=3, DC=9 and AB+AC=28 find AB and AC.
Answer:
AB = 7
AC = 21
Step-by-step explanation:
Because AD is an angle bisector it divides the triangle into proportional parts. That is ...
AC/DC = AB/BD
(28 -AB)/9 = AB/3 . . . . use AC = 28 -AB
28 -AB = 3AB . . . . . . . . multiply by 9
28 = 4AB . . . . . . . . add AB
AB = 28/4 = 7 . . . . divide by 4
AC = 28 -7 = 21
The lengths AB and AC are 7 and 21, respectively.
_____
Additional comment
The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.
For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.
what number makes the equation true? 6 equals 30 divided
Answer: 5
Step-by-step explanation:
This question is basically asking:
6 = 30 ÷ ?
We can use a fact family to find the value.
30 ÷ 6 = 5
The answer is 5.
HELP ME WITH MATH HOMEWORK
Step-by-step explanation:
Only option B shows a proportional relationship (y = 3x).
Answer:
D
Step-by-step explanation:
Y=3x-1 is written as the slope-intercept form y=mx+b don't let the -1 confuse you.
Write an equation of the line that passes through (–2, 8) and (–4, –4).
PLEASE HEEEELP MEEE! PLEASE ACTUALLY PROVIDE AN EXPLANATION! BEST EXPLANATION AND ANSWER GETS BRAINLIEST! THANKS
Answer:
sorry bro
Step-by-step explanation:
Answer:
Y=6x+20
Step-by-step explanation:
Solve the equation below for the value of x.
−314x + 25 = 214x − 1312
Answer:
x=1337/528
Step-by-step explanation:
-314x-214x=-1312-25
-528x=-1337
x=1337/528
Answer:
Step-by-step explanation:
add 314x to both sides
-314+25=214x-1312
+314x +314x
add 1312 to both sides
25=528x-1312
+1312 +1312
1337=528x
x=1337/528
i dont thing you can simplify to a whole number...hopefully this helps a little :)