Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
find the value of x
I have to show the work
Answer:
x = 39
Step-by-step explanation:
A circle is made up of 360 degrees
235+ 54+ x+32 = 360
Combine like terms
x+321=360
Subtract 321 from each side
x+321-321 = 360-321
x = 39
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
[tex](4x^5-8x) - (3x^2-8x+9)[/tex]
Expand
[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
115, 65
Step-by-step explanation:
Let x be an angle measurement
x-50 is the supplement
They add to 180
x + x-50 = 180
2x-50 = 180
Add 50 to each side
2x-50 + 50 =180+50
2x = 230
Divide by 2
2x/2 =230/2
x = 115
The measure are 115 and 115-50=65
Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.
Answer:
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
Step-by-step explanation:
The objective of this question is to solve:
[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]
Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:
Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:
i.e.
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]
To Replace:
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]
[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]
[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]
Thus;
[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0
[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]
∴
In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:
[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]
By Factorization:
[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]
[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]
However;
The root [tex]\lambda = -6 \pm i[/tex] yield;
[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]
[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]
The root [tex]\lambda = 3[/tex] yield;
[tex]y_3(x) = c_3 e^{3x}[/tex]
∴
The general solution is:
[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]
Using Euler's Identity ;
[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]
[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?
Answer:
Step-by-step explanation:
60-10=50
they washed 50 cars.
Please Solve Brainliest and 10 points!
Answer:
x=20°
Step-by-step explanation:
statements:1.) m<DOB = m<DOE + m<BOE (or m<EOB)
2.) m<DOB = 90°+x
3.) m<AOC = m<DOB
4.) 110° = 90° + x
5.) x = 20°
reasons:1.) given
2.) substitution
3.) vertical/reflexive
4.) substitution
5.) algebra
How could you use a multiplication algorithm to multiply a 4-digit number by a 1-digit number?
Choose all that apply.
Multiply each place value in order. Regroup if needed. Add any regrouped values to each place value.
Add the digits in the 4-digit number and multiply by the 1-digit number.
Multiply to find the partial products and then add.
Use place value to rewrite the 4-digit number as a sum. Use the Distributive Property to find partial products. Add.
Multiply the digits in the 4-digit number and add the 1-digit number.
Answer:
is 1,2,3 the answer ? if not what is the answer cuz im doing the same question
Step-by-step explanation:
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms
Answer:
-10x-45
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
Given parallelogram ABCD, the measure of angle C
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees
3/7 times 13 as a mixed number
Answer:
[tex]5\frac{4}{7}[/tex]
Step-by-step explanation:
3x+15=24 what is the x equal too
Answer:
x is equal to -1/3
hope this helps
Answer: I'm pretty sure x = 3
Step-by-step explanation: 3 times 3 = 9. 9 + 15 = 24. And when I solve for x it equals 3.
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
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PLS I NEED THIS ASAP 100 POINT ---------The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? 100 POINTS
Answer:
12%
Step-by-step explanation:
You never gave any numbers than 12% and you asked how much the commission would be...
If he gets 12% commission then he would have to pay 12% commission.
Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate?
Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
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pleas help me ill give brainleyest
Answer:
11.8% Decrease
Step-by-step explanation:
I googles it i am sorry if it's not right
Is anyone willing to answer this question I can’t do it
Answer:
Not 100% sure on this make sure you double check
Step-by-step explanation:
X- 10
Y- 10
Slope- (-1)
like I said this could be wrong
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.
Answer:
x=14
Step-by-step explanation:
3+1.50x=24
24-3=21
21/1.50=14
Answer is C which is 14
Which order pairs are solutions to the equation 4x+2y=4
Answer:
Slope=2.000/4.000
−2.000x−intercept= 22
=1y−intercept= 12
=2.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(4)=0
Pull out like factors :
4x + 2y - 4 = 2 • (2x + y - 2)
Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve 2x+y-2 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 2/1 = 2.00000
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 2/2 = 1
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.000 - 2.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
if there are 5 fish and 1 of the dies how many are left
There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?
Answer:
The probability that any given family who is selected has two or more children at home is 85%.
Step-by-step explanation:
The information provided is as follows:
Number of Children Probability
1 0.15
2 0.65
> 3 0.20
Compute the probability that any given family who is selected has two or more children at home as follows:
P (At least 2 Children) = P (2 children) + P (More than 3 children)
= 0.65 + 0.20
= 0.85
Thus, the probability that any given family who is selected has two or more children at home is 85%.
Find the slope of f(x)=5x-4
Answer:
5
Step-by-step explanation:
Answer:
slope, m = 5
Step-by-step explanation:
Recall that the slope-intercept form of a linear equation can be written:
y = mx + b or f(x) = mx + b
where m is the slope of the line.
in our case, we are given
f(x) = 5x - 4
if we compare this with the general equations above, we can see that
slope = m = 5
hence the slope is 5
According to the US Bureau of Labor statistics, the average weekly earning of a production worker in 1997 were $424.5. Suppose a labor researcher wants to test to determine whether this figure is still accurate today .The researcher randomly selected 54 production workers from across the United States and obtained a representative earning statement for one week from each. The resulting sample average is $432.69. Assuming population Standard deviation is 33.90. and a 5% level of significance, To determine whether the mean weekly earnings of the production worker have changed.
Required:
To determine whether the mean weekly earnings of the production worker have changed, what would be the value of test statistics?
Answer:
test statistic is 1.775
Step-by-step explanation:
Bar x = 432.69
Standard deviation sd = 33.90
N = 54 production workers
Null hypothesis:
H0: μ = 424.5
Alternate hypothesis
H1: μ not equal to 424.5
Test statistic
= 432.69-424.5/sd/√n
= 8.19/33.9/√54
= 8.19/33.9/7.348
8.19/4.6135
= 1.7752
This is the value of our test statistic
When we test this with level of significance 0.05
Critical value z = 1.96
So we conclude that we do not have enough evidence to reject null hypothesis so we accept null and say mean weekly earnings have not changed
Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.
Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part
Step-by-step explanation:
What is an equation of the line that passes through the points (-3,-5) and
(-3,-8)?
Answer:
x = -3
Step-by-step explanation:
The line just passes through x = -3 so, it's parallel to the Y-vector.
-3(x + 2) = 16 - x
I need helpppp ASAP
Answer:
x = -11
Step-by-step explanation:
-3(x + 2) = 16 - x
-3x - 6 = 16 - x
-22 = 2x
Divide
-22/2 = x
-11 = x
The mapping diagram shows a functional relationship.
A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).
Complete the statements.
Answer:
do you have the diagram
Step-by-step explanation:
Answer:
yes ido
Step-by-step explanation: