Answer:
1. 12x - 6
2. -2x + 17
Step-by-step explanation:
1.
8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 62.
4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17Answer:
[tex]\boxed{\sf 12x-6}[/tex]
[tex]\boxed{\sf -2x+17}[/tex]
Step-by-step explanation:
[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]
Apply Distributive Property to multiply -2 by (3-2x):
→ [tex]\sf 8x-6+4x[/tex]
Combine like terms:
→ [tex]\sf (8x+4x)[/tex]
[tex]\sf 12x[/tex][tex]\boxed{\sf 12x-6}[/tex]
______________________________
[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]
Apply Distributive property:
Multiply -3 by (2x-4):
[tex]\sf 4x+5-6x+12[/tex]
Combine like terms:
→[tex]\sf (4x+(-6x))[/tex]
[tex]\sf -2x[/tex]→ [tex]\sf (5+12)[/tex]
[tex]\sf 17[/tex][tex]\boxed{\sf -2x+17}[/tex]
_____________________________
Select all statements that are true about the triangles.
Answer:
D and E
Step-by-step explanation:
D) Δ ABC , ΔDCB
AB = DC
BC = CB
AC = DB
Side Side Side congruent.
E)Δ ABC , ΔDCB
AB = DC
∠D = ∠A
AC = DB
Side Angle Side congruent.
Answer:
E
Step-by-step explanation:
When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order
AB, then BC, and then CA
the corresponding sides of the other triangle are
DC, then CB, then BD so the other triangle should be Δ DCB
because (AB≅DC, BC≅CB, CA≅BD)
In this case we eliminate the A,B,C answers.
D is also not correct because we do not know if <ABC is congruent with <DCB
E is correct because we are given the sides AB≅DC, and CA≅BD and we know that BC≅CB because of the reflexive property (a line segment is congruent with itself).
We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem
F is not correct because we have enough information.
A 56-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer:
14-inch
Step-by-step explanation:
let the length of shorter piece be x
x+3x=56
4x=56
x=56/4
x=14
Write an
exponential function in the form y = ab^x
that goes through points (0,13) and (3,832).
Answer:
y = 13 × [tex]4^{x}[/tex]
Step-by-step explanation:
Substitute the given values into the exponential
Using (0, 13 ) , then
13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so
a = 13
y = 13 [tex]b^{x}[/tex]
Using (3, 832 )
832 = 13 b³ ( divide both sides by 13 )
64 = b³ ( take cube root of both sides )
b = [tex]\sqrt[3]{64}[/tex] = 4
The exponential function is
y = 13 [tex](4)^{x}[/tex]
R.
Y.
12 cm
20 cm
13 cm
-
Find volume
Answer:
3120
Step-by-step explanation:
v=lxbxh
...........
Step-by-step explanation:
The volume = 12 × 13 × 20 = 3120
please give me a brainliest answer
M is the midpoint of segment AB.
AM=13x
BM=8x+10
AB=
Johan and Rahul shared a chocolate bar. Johan took 3\7
and Rahul took 4\9
of
the chocolate bar. Who took the biggest part of the chocolate bar? And by
how much?
Answer:
Rahul by 1
Step-by-step explanation:
Johan - 3/7
Rahul - 4/9
1. Convert fractions
3/7 -> 27/63
4/9 -> 28/63
28/63 > 27/63
Rahul took more by 1/63
Helpppppppppppppppppppppppppppppppppppp
Answer:
m = - 1
Step-by-step explanation:
9m + 13 = 4
subtract 13 from both sides
9m = 4 - 13
9m = - 9
divide both sides by 9
m = - 1 (negative 1)
maths .....................
Answer:
in simplify this is- 9a2i+42ab+49b2
Step-by-step explanation:
1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?
Answer:
82,000+7500+1,386=168,136
Step-by-step explanation:
You have to do Addition
help with this question
Answer:
option D is correct
x=O and x=-8
In comparing two distributions, which attribute would you not compare?
A. Joint frequency
B. Shape
C. Spread
D. Center
Answer:
If joint frequency isn't an option it is Marginal frequency
Hello 100 point Question with Explaining please
Please help me solve this
Please help me in this!
Answer:
5000
ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk
I was not taught this lesson in class today.
Answer:
C
Step-by-step explanation:
No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel
Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.
Answer:
f'(x)=6x+8
Step-by-step explanation:
U= 1 A solution to the inequality below??
10>u
Answer:
Yes
Step-by-step explanation:
10>1
The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx
Answer:
y=rx 1/4/5/5/5
Step-by-step explanation:
Answer:
r = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The proportional equation is
y = rx ( divide both sides by x )
[tex]\frac{y}{x}[/tex] = r
Substitute any ordered pair from the table
Using (14, 7 ) , then
r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]
PLEASE HELP
A. identify the vertex
B. Identify the intercept
C. Write the equation of the graph above
D. Fill in the end behavior:
As x , y ____
As x 3, y ____
E. Identify the domain and range:
We want to identify different things on the given graph.
The solutions are:
A) (3, -1)
B) x = 4
C) x = y^2 + 2y + 4
D) x ⇒ ∞, y ⇒ ∞
x⇒3, y⇒ -1
A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)
B) This is the point where the graph intercepts the x-axis, x = 4.
C) we want to write the equation, we start with the general parabola, this time as a function of y:
x = a*y^2 + b*y + c
Remember that the x-itercept is at x = 4. then c = 4.
x = a*y^2 + b*y + 4
The y-value of the vertex is -1, while the general y-value of the vertex is:
y = -b/2a = -1
And evaluating the equation in this value, gives us:
x = a*(-1)^2 + b*-1 + 4 = 3
Then we have two equations:
-b/2a = -1
a + -b + 4 = 3
We can rewrite the first one as:
-b = -2a
b = 2a
Now we can replace this on the other equation:
a - 2a + 4 =3
-a + 4 = 3
-a = 3 - 4 = -1
a = 1
And b = 2a = 2*1 = 2
Then the equation of the parabola is:
x = y^2 + 2y + 4
D) We can see that as x grows, y increases, so we can say that:
x ⇒ ∞, y ⇒ ∞
And for the other limit we can see that as x tends to 3, y tends to -1, then:
x⇒3, y⇒ -1
If you want to learn more, you can read:
https://brainly.com/question/21685473
Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?
Answer:
$9.89
Step-by-step explanation:
1. Divide 15 from 100, which leaves you with 0.15%.
2. Multiply 8.60 and .15; that will get you 1.29.
3. Finally, add 1.29 to 8.60 to get your answer!
Find the value of GM If DM = 35
Buffalo Bart’s Endless Wings charges $5.60 for sides and a drink, and then $0.40 per chicken wing. The Spicy Chicken charges $10 for sides and a drink, and then $0.20 per chicken wing. About how many chicken wings must be purchased so that the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken is the same?
Answer:
22.
Step-by-step explanation:
About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
Let's represent the number of chicken wings as "x".
The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):
Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x
The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):
Total cost at The Spicy Chicken = $10 + $0.20x
To find the number of chicken wings where the total costs are the same, we'll set up an equation:
$5.60 + $0.40x = $10 + $0.20x
Now, solve for "x":
$0.40x - $0.20x = $10 - $5.60
$0.20x = $4.40
Divide both sides by $0.20:
x = $4.40 / $0.20
x = 22
So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
To learn more on Equation click here:
https://brainly.com/question/10413253
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60% of all bald eagles survived their first flight. If 25 randomly selected bald eagles are observed, what is the probability that at least 15 of them will survive their first flight.
a) Use the binomial distribution to approximate the probability.
Answer:
[tex]100%[/tex][tex]\%[/tex]
Find the GCF for the pair of numbers. 9,4
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]
The common factor between both is 1.
So, we have:
[tex]\mathbf{GCF = 1 }[/tex]
Hence, the GCF of 4 and 9 is 1
Read more about GCFs at:
https://brainly.com/question/20061154
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.
IT'S D
HOPE THIS HELP MARK ME BRAINLIST
help please! no links!
-
-
-
-
Answer:
A
2,3 3,4.5 5,7.5
B
every 1:1.5
C
3,4.5 4,6 5,7.5
Step-by-step explanation:
because this is eqauling to all of the numbers
The number of 90° angles formed by the intersections of and the two parallel lines and is
Answer:
is there supposed to be a picture that goes with this
Step-by-step explanation:
: 0
From the graph, write the linear equation in slope-intercept form
Answer:
1.y=1/2+2
2.y=-2+1
3.y=3/2+3
4.y=-2/3-2
Step-by-step explanation:
Please put into slope intercept form and please SHOW THE WORK
4-2y=-2x
-y+6=x
6x-y-3=0
3y+15x=-15
Answer:
[tex]4 - 2y = -2x [/tex]
subtract the 4 from one side
[tex] - 2y = - 2x - 4[/tex]
divide the -2 from the y and the-2x and 4
[tex]y = - x + 2[/tex]
-y + 6 = x
subtract the 6 and add -6 after the x
[tex] - y = x - 6[/tex]
6x - y - 3 = 0
add the y so it cancels out
y = 6x - 3
3y + 15x = -15
subtract the 15x
3y = -15x - 15
divide the 3
y = -5x -5
2. A line passes through the points (4,7) and
(8, 6). The line also passes through the point
(a, 3.5) for what value of a?
Answer:
a = 18
Step-by-step explanation:
Slope = (7-6)/(4-8) = -1/4
y-intercept = 7 - (-1/4)(4) = 8
Equation of the line: y = - 1/4x + 8
(Substitute y for 3.5. When y is 3.5, what is x)
3.5 = - 1/4x + 8
3.5 - 8 = - 1/4x
(-4.5) / (- 1/4) = x
x = 18