Answer:
3x²-4
Step-by-step explanation:
1 distribute
(-4x²-2x-6)+7x²+2x+2
2 eliminate redudant parentheses
-4x² -2x - 6+7x² +2x+2
3 Add the numbers
-4x²-2x-4+7x²+2x
4 Combine like terms
3x²-2x-4+2x
5 Combine like terms
3x²-4
Answer:
[tex]3x^{2} -4[/tex]
Step-by-step explanation:
Before solving this you have to know that,
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( + )
( - ) × ( + ) = ( - )
Let us solve now.
[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]
[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]
[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]
Now combine like terms
[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]
[tex]3x^{2} -4[/tex]
Hope this helps you .
Let me know if you have any other questions :-)
the diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. the radius of each circle is 32mm. work out the area of the rectangle. give your answer correct to 3 significant figures.
Answer:
2640mm
Step-by-step explanation:
I'm assuming you need the area of the rectangle which the circles don't take up.
First, to find the area of the whole rectangle:
length x width
to find length:
the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm
to find width:
the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm
So, area of rectangle = 64 x 192 = 12288mm
Now to find the area the circles take up:
area of 1 circle =
[tex]\pi \times {r}^{2} [/tex]
=
[tex]\pi \times {32}^{2} [/tex]
=
[tex]1024\pi[/tex]
As we have 3 circles, we multiply this by 3:
[tex]1024\pi \times 3 = 3072\pi[/tex]
Finally we subtract the area of the three circles from the area of the rectangle:
[tex]12288mm - 3072\pi = 2637[/tex]
As we need to round it to 3 significant figures, the answer is 2640mm
what is 7/8 x 4 ? ( 7/8 is a fraction)
Answer:
7/2 or 3 1/2
Step-by-step explanation:
7/8*4/1=28/8
Simplify= 7/2 or as a mixed fraction = 3 1/2
Hope this helps
Can I have the brainliest if I am right?
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
Easy math problem
……………………………………
Answer:
if its easy then answer it .-.
Step-by-step explanation:
Answer:
u =-3
Step-by-step explanation:
Question 1 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
2x - 4y= 5
6x – 3y=10
O A. Multiply the top equation by 3 and the bottom equation by 4.
B. Multiply the top equation by-3 and the bottom equation by 2.
ООО
C. Multiply the top equation by-2.
D. Multiply the top equation by-3.
Answer:
D.
Step-by-step explanation:
Does (–2, –2) make the equation y = x true?
Answer:
Yes.
Step-by-step explanation:
According to the given co-ordinate.
(x,y) = (-2,-2)
i.e. x = -2, y = -2
So, We can say that x = y = -2.
Hence, the given co-ordinate makes the equation y = x true.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11)?.
Answer:
What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata
please help me, tysmm! and no spam or links please it's rlly annoying -_-
HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?
Answer:
Minneapolis
Step-by-step explanation:
PLZ ANYONE HELP ME PLZ BEFORE THE HOLIDAY BREAK BEGINS!!!!!!!!!!!!!!
The Uber base fare is $1. There is a charge of $1.05 per mile. You also plan to give the
driver a $2 tip.
Task 1 Student Directions:
Part A: Write an expression to represent the amount of money need to take a taxi or take Uber.
(x = the number of miles.)
Taxi Expression: ____________________ Uber Expression: __________________
Part B: Complete the table to determine how much it will cost to go 12 miles, 20 miles and 50 miles.
Taxi Uber
Part C: Which mode of transportation is better, use information from the table to support your answer. BUT PLZ JUST DO THE PART B AND PART C ONLY THANKS.
Answer:
Part A. (Uber)$1 + $2 + 1.05x
(taxi)
Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)
(taxi)
Part C.
Step-by-step explanation:
Part B. Uber
12 miles: $1 + $2 + 1.05(12)
3+12.60
15.60
20 miles: $1 + $2 + 1.05(20)
3+21
24
50 miles: $1 + $2 + 1.05(50)
3+52.50
55.50
Part B. Taxi
Part C.
Answer two questions
25 points
Answer:
1) -2x - 3
2) -2a - 2
Step-by-step explanation:
Problem 1
To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.
-10x + 8x + 1 - 4
-2x - 3
Problem 2
This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.
2(1 - a) - 4
2(1) - 2(a) - 4
2 - 2a - 4
Next, we can combine like terms.
-2a + 2 - 4
-2a - 2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]
[tex]\huge\text{Number 2}[/tex]
[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5° 56. 5° 28. 9° 44. 3°.
The question is an illustration of right-angled triangles
The approximated value of x is 33.5 degrees
The given parameters are:
[tex]\theta = x[/tex]
[tex]Hypotenuse = 58[/tex]
[tex]Opposite = 32[/tex]
To determine the measure of angle x, we simply make use of the following sine ratio.
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(x) = \frac{32}{58}[/tex]
[tex]\sin(x) = 0.5517[/tex]
Take arc sine of both sides
[tex]x = \sin^{-1}(0.5517)[/tex]
This gives
[tex]x = 33.5[/tex]
Hence, the approximated value of x is 33.5 degrees
Read more about right-angled triangles at:
https://brainly.com/question/16195823
How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?
Find the measure of y.
• 110°
• 100°
• 103°
• 93°
Answer:
110°
Step-by-step explanation:
Alternate angles are equal.
Hope this helps and have a good day!
Measure of y is [tex]103^0[/tex]
What is quadrilateral ?A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.
110 + Z =180 ......................(Linear pair)
So, the measurement of angle z is 70.
Since, Sum of all interior angles of quadrilateral = 360°.
then...
Y = 360 - (100 + 87 + 70)
Y = 360 - 257
= 103
Hence, measure of y is [tex]103^0[/tex]
To learn more about the quadrilateral here:
https://brainly.com/question/29269424
#SPJ7
quick pls!! my math grade is at a B! I need to raise it.
While In a cave what did Sirius tell Harry and his friends about crouch
The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.
It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.
In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.
Learn more about Harry on:
https://brainly.com/question/1173893
Need help on geometry TO PASS My Class so can you help please
Answer:
x=12
Step-by-step explanation:
since it is an equilateral triangle the angle r all the same the angle have to equal 60
Since it's a equilateral triangle.
[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]
[tex]\\ \sf\longmapsto 15x=180[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
m<S=5x=60°16
Which equation has a graph of a vertical line?
Answer:
3rd option
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The only equation in this form is option 3
3x - 2 = 0 , as
3x = 2 and
x = [tex]\frac{2}{3}[/tex] ← equation of vertical line
Make x the subject of the formula x/a 2 + 3 b = 2 c
Answer: x=-3ab/2+ac
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.
Find the zeros of this polynomial:
p(x)= (x²+4x+3)(x²-4)
====================================================
Explanation:
Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.
Let's apply that idea to the first factor.
x^2+4x+3 = 0
(x+1)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -1 or x = -3 are two roots
-------------
Do the same for the other factor as well.
x^2 - 4 = 0
(x-2)(x+2) = 0 .... difference of squares rule
x-2 = 0 or x+2 = 0
x = 2 or x = -2 are another two roots
--------------
In total, the four roots are:
x = -3x = -2x = -1x = 2Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.
What is -10 5/6 times 8 1/2
Answer:
92 1/12
Step by step explanation:
The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon
Answer:
Sum of exterior angle is [tex]360^0[/tex]
Value of each exterior angle is [tex]120^0[/tex]
Step-by-step explanation:
Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]
Here
[tex](n-2)180=180\\\\n=3[/tex]
Hence the polygon is triangle
Sum of exterior angle is [tex]360^0[/tex]
Sum of one exterior angle
[tex]=\frac{360}{3} \\\\=120^0[/tex]
what is factor write its type
Answer:
These are the answers
Step-by-step explanation:
factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Hope it helps !
The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....
Answer:
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
original price: $24.50
discount:30%
tax:2%
Answer -
Discount -
24.50 x 30/100
24.5 x 0.3 = 7.35 saved
24.5 - 7.35 = 17.15
Discount you saved $7.35 , which brings you price 17.15
tax -
17.15 + 0.34 = 17.49
With taxes you pay 17.49
HOPE THIS HELPS :)
One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?
Answer: You ate 1920 calories
Step-by-step explanation:
It’s pretty simple,
all you have to do is multiply 6 by 320.
this then gets you 1920
Answer:
1920 calories
Step-by-step explanation:
6servings*320cal/servings = 1920cal (servings cancel)
Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds
Find the measure of 48.
8
140°
40°
[?]
Answer:
40°
Step-by-step explanation:
Using corresponding angle rulesplz help me find this answer for number 9 and number 10 offering 20 points for a answer !!
Answer:
7
Step-by-step explanation:
Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:
[tex]3x^2+7y^3+2x+9y-5y^2[/tex]
The first term is: [tex]3x^2[/tex]
The second term is: [tex]7y^3[/tex]
The third term is: [tex]2x[/tex]
The fourth term is: [tex]9y[/tex]
The fifth term is: [tex]-5y^2[/tex]
Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:
The first coefficient is: 3
The second coefficient is: 7
The third coefficient is: 2
The fourth coefficient is: 9
The fifth coefficient is: -5