Answer:
Distributive property
Step-by-step explanation:
Distributive property allows you to multiply a(b+c) as ab + ac.
The property which allows her to do this solution is; Distributive property
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We are given that Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
She writes:
= -3 a - 4 b - 2 (5 a -7 b)
= - 3 a - 4 b -10 a + 14 b
Using distributive property
Distribute the negative;
-3a-4b-10a+14b
Solve the like terms;
-3a-10a-4b+14b
-13a+10b.
Learn more about distributive property here;
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create a data set of 10 numbers with median 8 and mode 10.
2,3,5,7,8,8,10,10,10,14
Step-by-step explanation:
Total numbers in the data set: 10
Median= (8+8)/2 = 8
Mode= 10 (there are 3 tens)
Hope that helps! If you have any more questions or need further clarification then comment down below or message me! Good luck!
Step-by-step explanation:
1,3,7,8,10,9,10
4sqrt 7^3 in exponential form?
Answer:
7 3/4
Step-by-step explanation:
What is the inverse function of f(x) = z/z-2
Answer:
f^-1(z) = 2z/z-1
Answer:
Step-by-step explanation:
The function declaration
f
(
x
)
f
(
x
)
varies according to
x
x
, but the input function
z
2
z
2
only contains the variable
z
z
. Assume
f
(
z
)
=
z
2
f
(
z
)
=
z
2
.
f
(
z
)
=
z
2
f
(
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=
z
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What is the simplest form of this expression?
5(-8m - 4) + (-5)(-9m - 5)
Enter the correct answer.
DOG
DONE
Clear all
+ ?
Answer:
5m +5
Step-by-step explanation:
5(-8m - 4) + (-5)(-9m - 5)
Distribute
-40m -20 +45m +25
Combine like terms
-40m+45m -20+25
5m +5
HELP PLEASE ♥️♥️♥️♥️
Answer:
211°
Step-by-step explanation:
Since m∠ADB is 149°, that also makes arc AB 149°. So to find out the measure of arc AEB, all you need to do is subtract 149 from 360:
360 - 149 = 211
f(x) = 3x + 4^2 10x - 8
Answer:
5
Step-by-step explanation:
The height of a fireworks rocket launched from a platform can be approximated by h=-5t+ 30t +35, where h is the height in meters and t is the time in seconds. Find the time it takes the rocket to reach the ground after it is launched.
Answer:
Step-by-step explanation:
h=-5t+ 30t +35, where h is the height in meters and t is the time in seconds.
Considering the fact that the launched Rocket will hit the ground, it implies that the height will be zero. Hence the equation will be .
0 =-5t+ 30t +35
-5t+30t = -35
25t = -35
To find t, divide both sides by 25
25t/25 = -35/25
t = - 7/5
t = -1.4secs
Hence the time for the launched rocket to hit the ground will be -1.4secs
Help plz!!!!!!!!
In the diagram, Cand D are located such that AB is divided into three equal parts. What are the coordinates of Cand D?
A.(1.3). D(3,1)
B.(-3,0). D(3-6)
C.(20.3). D(3, 0)
D. (-1.5, 3), 011.5, 0)
Answer:
itsc c (0,3) ,d(3,0)
Step-by-step explanation:
If AB is divided into three equal parts then coordinates of C is (0, 3) and D coordinates are (3, 0)
What is Coordinate Geometry?A system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Divide AB into three equal parts
[tex]X_{c}-X_{a}=\frac{1}{3} (X_{B}-X_{D})[/tex]
=3
[tex]Y_{a}-Y_{c}=\frac{1}{3} (Y_{A}-Y_{B})[/tex]
=3
So C is (0, 3)
[tex]X_{B} -X_{D} =\frac{1}{3} \times 9[/tex]
=3
[tex]Y_{D} -Y_{B} =\frac{1}{3} \times 9[/tex]
=3
So D coordinates are (3, 0)
Hence, if AB is divided into three equal parts then coordinates of C is (0, 3) and D coordinates are (3, 0)
To learn more on Coordinate Geometry click:
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What is the distance between points A(1,9) and B(4, -2)?
Which is the coldest temperature? Explain how you determined this using the number line.
Answer:
The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.
Solve (1/81)^x = 243^x-9
Answer:
x=5
Step-by-step explanation:
(1/81)^x=(243)^x-9
(1/3^4)=3^5(x-9)
3^-4x=3^5(x-9)
-4x=5(x-9)
-4x=5x-45
-4x-5x=-45
-9x=-45
x=5
Which of the following questions describes the equation g + (-4) = -5? help
Answer:
Write equations of quadratic functions given the vertex and another point on the graph, ... You can do all of your homework online with built-in examples and ... For additional support when ... drops an orange into the river below from a height of 40 ft. ... y = 135 - x2 gives the area (in square feet) of the wall ... In addition to.
Step-by-step explanation:
Answer:
What number when added to negative four equals negative 5
Step-by-step explanation:
Just say thanks
If the Lazy River is 7 ft deep, what is the volume of the Lazy River in cubic feet?
Answer:
Step-by-step explanation:
PLS HELP 50 POINTS
Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answer:
f(x+1)=(5/6)f(x)on: Five-sixths Superscript f (x)
EXPLANATION:
The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.
625/750=750/900=etc=r=5/6
The function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
What is the general equation of a Straight line? What is a Geometric sequence?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
A geometric sequence is a sequence such that -
a(n + 1)/a(n) = K {constant}
[K] is called common ratio.
Given is a graph representing a geometric sequence.
Now, for -
f(2) = 1080
and
f(1) = 1296
So -
f(2)/f(1) = 1080/1296 = 5/6
In general -
f(x + 1)/f(x) = 5/6
f(x + 1) = 5/6 f(x)
Therefore, the function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
To solve more questions on straight lines, visit the link below-
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[REFER TO IMAGE ATTACHED FOR QUESTION]
Complete 6,7 for 5-8 points.
Answer:
Step-by-step explanation:
6)Let the number be x
Product of a number and -4 = x * -4 = -4x
Product of a number and -4 increase by 3 : -4x + 3
-4x +3 = 9
Subtract 3 from both sides
-4x + 3 - 3 = 9 - 3
-4x = 6
Divide both sides by (-4)
-4x/-4 = 6/-4
x = -3/2
x = -1 1/2
7)Let the number be x
[tex]\frac{x}{6}-9=11\\\\[/tex]
Add 9 to both sides
[tex]\frac{x}{6}-9+9=11+9\\\\\frac{x}{6}=20\\[/tex]
Multiply both sides with 6
[tex]\frac{x}{6}*6=20*6\\\\[/tex]
x = 120
SuperCaff Cola conducted a survey to gauge the effectiveness of their advertising. The researchers estimated from the survey that between 7% and 37% of the target population remember the ads. What was the margin of error for this research?
+/- 5%
+/- 10%
+/- 15%
It is not possible to determine the margin of error from this information.
Answer:
It is not possible to determine, because there is not enough information.
Step-by-step explanation:
can someone answer this please
f(x)=(x+4)^2
f(x)=x^2+4
f(x)=(x-4)^2
f(x)=x^2-4
Help with this please. Im giving 20 points
Three ballet dancers are positioned on stage. Mia is straight behind Jane and
directly left of Christine. If Jane and Mia are 3 meters apart, and Christine and Jane
are 5 meters apart, what is the distance between Mia and Christine?
Answer:
4
Step-by-step explanation:
Is 3x+0y a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
it has 3 terms. an expression with three terms is a trinomial.
(mark as brainliest)
Answer:
the answer would be monomial
because there is one term it is 3x
0y is not term
What is the length of segment AB? (4 points)
12.
10
8
6
2
0
В
-10 -8
-6
2
0 2
4
6
8
10
-6
10
12
ОООО
13
15
Answer:
13
Step-by-step explanation:
you are given point A with co-ordinate(0;12) and B (5;0)
length=[tex]\sqrt{(yb-ya)^{2} +(xb-xa)^{2} }[/tex]
=[tex]\sqrt{(0-12)^{2}+(5-0)^{2} }[/tex]
=[tex]\sqrt{(-12)^{2}+(5)^{2} }[/tex]
=[tex]\sqrt{144+25}[/tex]
=[tex]\sqrt{169}[/tex]
=13
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
Please help me! I need the answer ASAP!
The correct answer is D.
Of all 25 marbles in a bag, 3 of the marbles are white. What is the probability that a white marble will be randomly selected from the bag without looking? Write your answer as a percent.
Step-by-step explanation:
Total marbles = 25
Probability of white marble = 3/ 25 = 0.12
please help for 10 points.
Answer:
w/9 > 23
Step-by-step explanation:
Answer:
9 ÷ w > 23
Hopes this helps :)
Solve this for me please
is there a picture to this??
pls help will mark as brainliest
Answer:
1 3/5
Step-by-step explanation:
Flip the small triangle around to make it look like the big triangle. Find the ratio between triangles (2/5 = .4). .4 is the ratio. Multiply 4 (the side corresponding with x) by .4. You will get 1.6. 1.6 is the same as 1 3/5.
What is the volume of the composite solid?
Answer:
Step-by-step explanation:
In order to find the volume of a composite solid, one needs to identify the different parts it is made of. This decomposition allows working out the volume of each part independently. The volume of the composite solid is simply the sum of the volumes of its parts.
Here is the math question.
Answer:
X = 6
Step-by-step explanation:
Look at the attachment
Maia and John both earn $15 an hours their job. This week Mais worked three hours more than John. If "h" represents the number of hours John worked, and in total they earned $195, how many hours did each person work?
Answer:
John: 5 Mais :8
Step-by-step explanation:
h = 195 ÷ 15, so they both worked a total of 13 hours.
13 - 3 as Mais worked 3 hours more than John and then divide 10 by 2, so John worked 5 hours are Mais worked 5+3 [8] hours.
