Answer:
The answer to this problem is -3x - 7
Step-by-step explanation:
-3x - 6 + (-1)
Add -6 to -1.
-3x - 7
So, the final answer to this problem is -3x - 7.
When Reshard was born, his uncle bought him a $200 savings bond. When Reshard turns 20 years old, the bond will have earned 130% interest. How much will the bond be worth when Reshard turns 20?
Answer: 260
Step-by-step explanation: When we 200 times 130% we will get 260.
Write the equation of the line that passes through the points (8,-2)(8,−2) and (5,5)(5,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]
Now we use this slope in the general slope-intercept form of a line;
[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]
The the equation of the line is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
What fraction of the boys are red headed
Answer:
19/64
Step-by-step explanation:
number of boys:
11+21+13+19=64red haired boys:
19The fraction:
19/64Answer:
19/64
Step-by-step explanation:
number of boys: 11+21+13+19=64
red haired boys: 19
The fraction: 19/64
27. Solve the equation.
Answer: r=-56
Step-by-step explanation:
multiply 7 on both sides
[tex]\frac{7r}{7}=7\left(-8\right)[/tex]
7*-8=-56
7 and 7 is eliminated
so x=-56
Answer:
r= -56
Step-by-step explanation:
The equation given is:
[tex]\frac{r}{7}= -8[/tex]
We want to solve for r. In order to do this, we must get r by itself.
Currently, r is being divided by 7. We want to perform the inverse, which is multiplication. Therefore, we should multiply both sides of the equation by 7.
[tex]7*\frac{r}{7}= -8 * 7[/tex]
[tex]r=-8*7[/tex]
[tex]r= -56[/tex]
Let's check our solution. Substitute -56 back in for r and solve.
[tex]\frac{r}{7}= -8[/tex]
[tex]\frac{-56}{7}= -8[/tex]
[tex]-8=-8[/tex]
Both sides of the equation are the same, so we know our answer is correct.
Hey guys please help me solve and find angle w
Answer:
Step-by-step explanation:
in a parellelogram,Opposite angles of a parallelogram are congruent
110=11x+11
110-11=11x
99=11x
99/11=x
9=x
<w= 110 °
what is the answer to...[tex]-\frac{2}{3} (4x-6)+\frac{1}{3}(x-5)[/tex]
What is the area of the obtuse triangle given below?
Answer:
9 sq. units
Step-by-step explanation:
We khow that the area of a triangle is Area= (base*height)/2 so A=(9*2)/2=18/2=9Answer:
C
Step-by-step explanation:
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
Perform the following operation and express the answer in scientific notation. 9x10^2/3x10^12
Answer:
3 multiplied by 10^-10
of the methods for solving systems of equations, which is the least accurate and may only give an approximate answer?
a. Graphing
b. Substitution
c. Elimination
d. None, they are all exact.
Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
What is the system of equations?A system of equations is made up of two or more equations that are solved at the same time.
What are the different ways of solving systems of equations?There are three ways to solve a system of equations:
Graphing: All equations are graphed and the point of intersections are the solutions for the system of equations.Substitution: One variable is isolated in one equation, and its value is substituted in the other equation to solve the system of equations.Elimination: Operations are done on all equations to eliminate one variable and then solve for the system of equations.How to solve the question?In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.
We have discussed all methods above.
Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.
Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
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3/16 + 1/8 + 1/4 =?
Simple math let’s see who answers it right !
Answer:
9/16
Step-by-step explanation:
3/16 + 2/16 + 4/16 = 9/16
Answer:
9/16
Step-by-step explanation:
To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
With reference to the figure, sin x =
Answer:
0.894
Step-by-step explanation:
Data provided in the question
BC length = 17.89 unit
DC length = 16 unit.
Now, we have to compute the angle y with the help of the cosine function;
Cosine defines the ratio between the right angle adjacent side and the hypotenuse
[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]
As per the triangle BDC;
Hypotenuse = BC =17.89 unit
And, the Adjacent side = 16 units
So;
[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]
[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]
Now, determine the value of angle x
In right angle ΔABC;
As we know that
The three angles sum is 180 degrees
So,
[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]
According to the given figure
[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]
and
[tex]\angle C =y=26.57^{\circ}[/tex]
Now Substitute these in (1) for solving the angle x;
[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]
[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]
Finally we have to determine the value of sin x;
Hence,
The value of [tex]\sin 63.43 =0.89438856[/tex]
or
= 0.894
Answer:
sin x = 0.894
Step-by-step explanation:
I hope you are refering to this figure:
if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab))
O (a - b)^)
O (a + b)(x)
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
Data provided in the question
a(x) = 2x - 4
b(x) = x + 2
Now we go through each options
First option
[tex](ab)(x)=(2x-4)(x+2)[/tex]
[tex]=2(x-2)(x+2)[/tex]
[tex]=2(x^2-4)[/tex]
[tex]=2x^2-8[/tex]
Second option
[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]
Third option
[tex](a-b)(x)=(2x-4)-(x+2)[/tex]
[tex]=2x-4-x-2[/tex]
= x - 6
Fourth option
[tex](a+b)(x)=(2x-4)+(x+2)[/tex]
[tex]=2x-4+x+2[/tex]
= 3x - 2
As we can see from the above options only option A is correct i.e it only produced a quadric function
0147:03
Which system of linear inequalities is represented by
the graph?
O y2X-2 and x - 2y <4
O y2 x + 2 and x + 2y <4
O y> x-2 and x + 2y < 4
O y>X-2 and x + 2y <-4
Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
slope (m): (0 - 2)/(4 - 0) = -1/2
y-intercept (b): 2
equation:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
slope (m): (0 - (-2))/(2 - 0) = 1
y-intercept (b): -2
equation:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
Find the equation of the line passing
through the points (3,-2) and (4, 6).
y = [? ]x + [ ]
Answer:
y = 8x - 26
Step-by-step explanation:
Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]
(You can plug either point in and get the same result but I'm going to use the first one)
[tex]y-(-2)=8(x-3)[/tex]
Distribute the [tex]m(x-x_{3})[/tex]
[tex]y-(-2)=8x-24[/tex]
Isolate the [tex]y[/tex]
[tex]y-(-2)=y+2[/tex]
[tex]y+2(-2)=8x-24(-2)[/tex]
[tex]y=8x-26[/tex]
And that's your answer!
Which division problem is represented in the picture?
Answer:
B. 3 1/3 (3/2)
Step-by-step explanation:
10/3 = 3 1/3
3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2000 ft x 2= 4000 ft
So the answer is 4000 ft
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x
Answer:
B. y = sin x
Step-by-step explanation:
Can anyone give me the median and mean of this problem
Answer:
Mean = 76
Median = 75.2
Step-by-step explanation:
Mean - put all the temperatures in order and pick the middle one.
Median - add all the temperatures together and divide by 20.
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
m∠4 = 38°
Step-by-step explanation:
The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°
∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°
Optimize the equation P = 4x + 3y using the constraints x > 0, x < 4, y <
5. What is the maximum?
a. 13
b. 15
c. -3
d. 31
Answer:
Option D is correct
Step-by-step explanation:
With x < 4 and y < 5:
P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31
=> Option D is correct
Given the equation P = 4x + 3y With constraints x > 0, x < 4 and y < 5:
Option D is correct that is 31.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given the equation P = 4x + 3y
With constraints x > 0, x < 4 and y < 5:
The maximum value is
P = 4x + 3y < 4(4) + 3(5)
P = 16 + 15
P = 31
Hence, the Option D is correct.
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Can someone please help me with these two
Answer:
1a. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
1b. {5}
Step-by-step explanation:
For part 1:
A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Remember that union means to include all values.
A n B is the intersection of all values, so {5}
Remember that the intersection means "what do they have in common".
What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10? How do you know? (explain) hurry pls
Answer:
The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.
Step-by-step explanation:
2520/1 = 2520
2520/2 = 1260
2520/3 = 840
2520/4 = 630
2520/5 = 504
2520/6 = 420
2520/7 = 360
2520/8 = 315
2520/9 = 280
2520/10 = 252
Graph the image of the figure after a dilation with a scale factor of 1/3 centered at(1, - 2).
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
Step-by-step explanation:
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
Find the equation of the line with points (3,3) in y=mx+b where it is perpendicular to equation 5x+5-4y=0
Answer:
y = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{27}{5}[/tex] or
5y = -4x + 27
Step-by-step explanation:
To find the equation of a line with points (3,3) and is perpendicular to 5x+5-4y=0
we will follow the steps below:
First find write the equation: 5x+5-4y=0 in standard form y= mx + c and find the slope
5x+5-4y=0
4y = 5x + 5
divide through by 4
4y /4= 5x/4 + 5/4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{5}{4}[/tex]
comparing the above with y = mx + c
m= [tex]\frac{5}{4}[/tex]
since the equations are perpendicular.
To find the new slope
[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1
[tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex] = -1
multiply both-side of the equation by [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex]× [tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex] = -1 × [tex]\frac{4}{5}[/tex]
[tex]m_{2}[/tex] = -[tex]\frac{4}{5}[/tex]
The slope of our new equation is -[tex]\frac{4}{5}[/tex]
The points are (3,3)
We can now go ahead and form our new equation
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex])
y - 3 = -[tex]\frac{4}{5}[/tex] ( x - 3)
y - 3 = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{12}{5}[/tex]
y = -[tex]\frac{4}{5}[/tex] x + 3 + [tex]\frac{12}{5}[/tex]
y = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{27}{5}[/tex]
5y = -4x + 27