Answer:
[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]
The graph of the even function f(x) has five x-intercepts. If (6, 0) is one of the intercepts, which set of points can be
the other x-intercepts of the graph of f(x)?
A (-6, 0) (-2, 0), and (0,0)
B(-6,0), (-2, 0), and (4,0)
C (4,0), (0, 0), and (2,0)
D (4,0), (-2, 0), and (0,0)
Answer:
A (-6, 0) (-2, 0), and (0,0)
Step-by-step explanation:
just took quiz on this
9. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= 3x2 + 3?
A. (3, 0)
B. (–3, –3)
C. (3, 3)
D. (0, 3)
Answer:
C. (3, 3)
Step-by-step explanation:
Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:
Answer:
9
Step-by-step explanation:
r/3 +5 ≤ 8
Subtract 5 from each side
r/3 +5 -5≤ 8-5
r/3 ≤ 3
Multiply each side by 3
r/3 *3 ≤ 3*3
r ≤ 9
The only value that is less than or equal to 9 is 9
If f(x)=5x-3 find x=2
A.7
B.4
C.-4
D.-5
Answer: A. 7
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given Information
f(x) = 5x - 3
x = 2
Substitute the value into the function
f(2) = 5 (2) - 3
f(2) = 10 - 3
f(2) = 7
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP ASAPP :(
Find the area of triangle ABC.
Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²
Answer:
Option C, 15.14 units²
Step-by-step explanation:
area of the triangle,
6.82×5.04×sin(61.73)/2
= 15.1365001284..
= 15.14 units² (rounded to the nearest tenth)
The required area of the irregular triangle is 15.14 unit². Option C is correct.
Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.
The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.
Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.
The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
= 1/2 * 6.82 * 5.04 * sin61.73°
= 1/2 * 6.82 * 5.04 * 0.88
= 15.14 unit²
Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.
Learn more about triangles here:
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Find the center and foci of the ellipse: 9x2 + 16y² + 126x + 96y + 441 = 0
Center : ( –7 , –3 )Focus 1: (–7 + √7 , –3 )Focus 2: ( –7 –√7 , –3 )
[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]
a= 4 , b= 3 , k = – 3 , h = –7 The center: ( h , k ) —> ( –7 , –3 )[tex]c = \sqrt{ {a}^{2} - {b}^{2} } = \sqrt{ {4}^{2} - {3}^{2} } \\ = \sqrt{16 - 9} = \sqrt{7} [/tex]C = √7Focus 1: ( h + c , k ) —> ( –7 + √ 7 , –3 )Focus 2: ( h – c , k ) —> ( –7 –√7 , –3 )
I hope I helped you^_^
Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.
Answer:
(y/7)x(4+9)
Step-by-step explanation:
statement one y/7
statement two 4+9
(y/7)x(4+7)
suppose that you need to determine what amount 6/7 of a quantity is. How many equal parts is the initial quantity divided into?
Answer:
7
Step-by-step explanation:
you would divide by 7 then times by 6
3. Find the product, using suitable properties :
a) 26 x (-48) + (-48) x (-36)
b) 625 x (-35) + (-625) x 65
please answer fast 10 marks
a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480
b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500
I hope I helped you^_^
13. PLEASE HELP ME
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.
A. length = 16 yd, width = 21 yd
B. length = 21 yd, width = 26 yd
C. length = 21 yd, width = 16 yd
D. length = 26 yd, width = 21 yd
We know
[tex]\boxed{\sf Area=Length\times Width}[/tex]
Putting values[tex]\\ \sf\longmapsto 336=x(x+5)[/tex]
[tex]\\ \sf\longmapsto x^2+5x=336[/tex]
[tex]\\ \sf\longmapsto x^2+5x-336=0[/tex]
Using mid term split[tex]\\ \sf\longmapsto x^2-16x+21x-336=0[/tex]
[tex]\\ \sf\longmapsto x(x-16)+21(x-16)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)(x+21)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)=0\:or\:(x+21)=0[/tex]
[tex]\\ \sf\longmapsto x=16\:or\:x=-21[/tex]
Ignore negative value[tex]\\ \sf\longmapsto Length=x=16yd[/tex]
[tex]\\ \sf\longmapsto Width=x+5=16+5=21yd[/tex]
Option a is correctShane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?
Answer:
Shane=x
Abha=y
x+y>=2000
x-y=178 Which leads to x=178+y ..... #1
hence by substitution in the inequality
178+2y>=2000
2y>=2000-178
2y>=1822
y>=911 ......in #1
x>=178+911
x>=1089
Solutions x>=1089 & y>=911
37. for the graph x= -3
please help
Answer: 0
Step-by-step explanation:
Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.
Perpendicular means at a 'right angle to'.
The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
Determine the perimeter of a rectangle with a length of 2 feet and a width of 6 inches. (Multiple choice)
—————
2.5 feet
8 feet
5 feet
16 feet
Answer:
D or 16
Step-by-step explanation:
For perimeter, the formula is 2(L + W) where L is length, and W is width.
So 2 ( 2 + 6 )
= (4 + 12)
= 16
You have a basket. But it's not just any basket. It's a basket that can hold an infinite number of apples. So you take your infinite stash of apples and fill the infinite basket, so now you have an infinite amount of apples in an infinite basket. But then you get another infinite stash of apples. Would it be possible to fill the infinite basket with more infinite apples, even tho the basket already has an infinite amount of apples in it?
Answer:
YesStep-by-step explanation:
Because of the properties of infinity:
∞ + ∞ = ∞∞ * n = ∞∞ * ∞ = ∞Answer:
nope.
Step-by-step explanation:
If he = 7x -27 find the value of x
[tex]\\ \sf\longmapsto 7x-27=1[/tex]
[tex]\\ \sf\longmapsto 7x=1+27[/tex]
[tex]\\ \sf\longmapsto 7x=28[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{28}{7}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
-8a-5=-7a+3 help someone
Answer: a = -8
Step-by-step explanation:
Given
-8a - 5 = -7a + 3
Subtract 3 on both sides
-8a - 5 - 3 = -7a + 3 - 3
-8a - 8 = -7a
Add 8a on both sides
-8a - 8 + 8a = -7a + 8a
a = -8
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a = -8
Step-by-step explanation:
-8a-5=-7a+3 Add 5 to both sides.
- 8a = - 7a + 3 + 5 Combine
-8a = - 7a + 8 Add 7a to both sides
-8a + 7a = 8 Combine
-a = 8 Multiply by - 1
a = - 8
When you get a weird number like this, you should check it.
LHS = -8(-8) - 5
LHS = 64 - 5
LHS = 59
RHS = -(7*-8) + 3
RHS = -(-56) + 3
RHS = 56 + 3
RHS = 59
So a = - 8 must be right.
The circumference of a circle is 97 m.
What is the area of the circle?
O 4.57 m²
o 187 m²
0 20.257 m2
O 817 m2
Answer
295.4426m²
Step-by-step explanation:
97m÷2=48.5
a=πr²a=(π×48.5)²a= (3.14×94.09)a= 295.4426m²The volume of this cube is 2.744 cubic meters. What is the value of t?
Answer:
t = 1.4 meters
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
2.744 = t^3
Take the cube root of each side
(2.744) ^ 1/3 = t^3 ^ 1/3
1.4 = t
Examine the table, which contains some points of a quadratic function
Answer:
Hello,
Step-by-step explanation:
A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE
B: There are only 2 roots for quadratic function : FALSE
C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE
D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE
E: TRUE (function is y=(x+1)(x-5)=x²-4x-5
F: minimum=-9 TRUE
G: TRUE (see graph jointed)
H: TRUE like F
I: FALSE
what is 500 x 200 + 300 - 400 =
Answer:
99900
Step-by-step explanation:
Answer:
500 x 200 + 300 - 400 =99900
Triangle GHI, with vertices G(4,-8), H(8,-9), and I(5,-6), is drawn inside a rectangle, as shown below ,What is the area, in square units, of triangle GHI?
Answer:
Hello,
Answer 9/2
Step-by-step explanation:
Let's put some points:
A=(4,-6)
B=(8,-6)
C=(4,-9) (the vertex of the rectangle)
AI=1, IB=3,AB=4
AG=2,GC=1
Area of the triangle AIG=1*2/2=1
Area of the triangle IBH=3*3/2=9/2
Area of the triangle GCH=1*4/2=2
Area of the rectangle=4*3=12
Area of the triangle IGH=12-1-9/2-2=9/2 (unit²)
The area, in square units, of triangle GHI will be 9/2 or 4.5 square units.
What is the area of the triangle?The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃). Then the area of the triangle will be given as,
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|
We have
(x₁, y₁) ⇒ (4, -8)
(x₂, y₂) ⇒ (8, -9)
(x₃, y₃) ⇒ (5, -6)
Then the area will be calculated as,
Area = 1/2[{4 x (-9) + 8 x (-6) + 5 x (-8)} - {- 8 x 8 - 9 x 5 - 6 x 4}]
Area = 1/2 [(-124) – (-133)]
Area = 1/2 x [9]
Area = 9/2 square units
More about the area of the triangle link is given below.
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Ryan just got hired for a new job and will make $48,000 in his first year Ryan was told that he can expect to get raises of $3,500 every year going forward.how much money in salary would Ryan make in his 24th year working at this job ?
Answer:
128500
Step-by-step explanation:
This is an arithmetic sequence with a common difference of 3500
The formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 48000+ 3500(n-1)
We want n = 24
a24 = 48000+3500(24-1)
= 48000+3500(23)
=48000+80500
=128500
Solve for e 16-3e=7/5e+11.6
Answer:
e =1
Step-by-step explanation:
[tex]16-3e=\frac{7}{5} e +11.6\\4.4-3e=\frac{7}{5}e\\4.4=\frac{22}{5} e\\22=22e\\1=e[/tex]
Prove that a triangle with sides x cm, 2x cm and root5x cm form a Right-angled triangle.
Step-by-step explanation:
x+2x+3x=180
6X=180
x=180/6
x=30
again
2 x=2×30
=60
3×=3×30
=90
Lisa kicked a ball against the wall at the indicated angle. What is the measure, in degrees, of <1?
Answer:
68°
Step-by-step explanation:
since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°
68°+44°+1=180
112°+1=180
1=180-112
=68°
I hope this helps
The measure of ∠1 is 68 degrees.
We have Lisa who kicked a ball against the wall at the indicated angle.
We have to determine the measure of the angle 1 in degrees.
What is the angle of a straight line ?A straight line has an angle of 180 degrees.
According to question, we have -
∠3 = 68 degrees
∠2 = 44 degrees
Therefore -
∠3 + ∠2 + ∠1 = 180
68 + 44 + ∠1 = 180
112 + ∠1 = 180
∠1 = 180 - 112
∠1 = 68 degrees
Hence, the measure of ∠1 is 68 degrees.
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ALGEBRA 2
Name the property of real numbers illustrated by each equation.
#21
Answer:
The property showed in the number 21 is the distributive property
applications of rational numbers
Step-by-step explanation:
Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.
Hope it helps you
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