Solve the equation for the given variable
-2(-2x + 3) = -3x + 10
Round your answers to the nearest tenths place
Help meee
Answers
[tex] - 2( - 2x + 3) = - 3 x+ 10[/tex]
[tex]4x - 6 = - 3x + 10[/tex]
[tex]4x + 3x = 16[/tex]
[tex]7x = 16[/tex]
[tex]x = \frac{16}{7} [/tex]
[tex]x = 2.2857[/tex]
[tex]x = 3[/tex]
Related Questions
two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.
Answers
Answer:
Step-by-step explanation:
Let v be the speed of the slower car
2v is the speed of the faster car
In 2 hrs, the slower car travels a distance of
2 hr(v km/hr) = 2v km
In 2 hrs, the faster car travels a distance of
2 hr(2v km/hr) = 4v km
2v + 4v = 300
6v = 300
v = 50 km/hr
2v = 100 km/hr
6x — Зу = 5
y - 2x = 8
How many solutions does the system have?
Answers
9514 1404 393
Answer:
none
Step-by-step explanation:
Multiplying the second equation by -3 gives ...
6x -3y = -24
Values of x and y that satisfy this equation cannot also satisfy the first equation ...
6x -3y = 5
There are no solutions to this system of equations.
__
The equations describe parallel lines. There is no point of intersection.
Is –8 − –95 positive or negative?
Answers
Answer:
87, which is positive
Step-by-step explanation:
-8 --95
Subtracting a negative is like adding
-8 +95
87
If the area of a circle is 16π, the circumference of the circle is:
A. 8π
B. 16π
C. 2π
D. 4π
Answers
Here’s the process
Hope you understand it!
10. Write (2x + 1)(x - 3)(x - 2) in standard form.
Answers
Answer:
[tex]2x^3-9x^2+7x+6[/tex]
Step-by-step explanation:
The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.
[tex](2x+1)(x-3)(x-2)[/tex]
Distribute,
[tex](2x+1)(x-3)(x-2)[/tex]
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
Simplify,
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
[tex](2x^2-6x+x-3)(x-2)[/tex]
[tex](2x^2-5x-3)(x-2)[/tex]
Distribute,
[tex](2x^2-5x-3)(x-2)[/tex]
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
Simplify,
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
[tex]2x^3-5x^2-3x-4x^2+10x+6[/tex]
[tex]2x^3-9x^2+7x+6[/tex]
This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.
With a two dimensional surface, if we take (2, 1) as the center point and consider
a transformation with a rotation angle of 45◦, then point (3, 3) is transformed
into point (----)?
Answers
Answer:
Step-by-step explanation:
Distance between (2,1) and (3,3) = √5
parametric equations for circle of radius √5, centered at (2,1):
x = √5cosθ+2
y = √5sinθ+1
At (3,3), θ = arccos(1/√5) ≅ 63.4°
After 45° transformation:
θ' = 63.4° + 45° = 108.4°
x' = √5cos(108.4°)+2 = 1.29
y' = √sin(108.4°)+1 = 3.12
(3,3) transformed to (1.29,3.12)
An Image point has coordinates B'7,-4). Find the coordinates of its pre-Image If the translation used was (x+4, y+5).
О ВІЗ, Т
OB(3-9)
OB/11-9)
B110
NET QUESTION
ASK FOR HELP
TURNITIN
Answers
Answer:
The ans is (3,-9) which means it's the second option
Find the value of x
A. 15
B. 6
C. 60
D. 10
Answers
Answer:
hmm observe the diagram carefully there are 2 arcs drawn which means angle BEC and angle KEC are equal so
6x + 24 = 10x
4x = 24
x = 6
BRAINLIEST PLS
The value of x in the given figure is 6.
Used the concept of an angle of the figure,
An angle is a combination of two rays (half-lines) with a common endpoint.
Given that,
A figure with two congruent triangles is shown in the figure.
Now by definition of congruency of triangles,
∠ BEC = ∠ CEK
Substitute given values,
[tex]6x + 24 = 10x[/tex]
Solve for x,
[tex]24 = 10x - 6x[/tex]
[tex]24 = 4x[/tex]
Divide both sides by 4;
[tex]x = 6[/tex]
Therefore, the value of x is 6.
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A lottery ticket has a grand prize of $34.8 million. The probability of winning the grand prize is .000000047.
Answers
Answer:
000000047
Step-by-step explanation:
that is the answer
what is the sum of √-2and√-18
Answers
For this question, we need to simplify some radicals and combine like terms. One thing for sure that should be noticed is the fact that both of these radicals are going to be imaginary, as they both have negatives inside of them.
Let's simplify the radicals:
√-2 = ← Note the negative
i√2
√-18 = ← Note the negative here as well
i√18 =
i√2·3·3 =
i√2·3² =
3i√2
Now, all we have to do is combine like terms:
i√2 + 3i√2 = 4i√2
The number 42 has the prime factorization 2.3.7. Thus 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors):
1.42, 2 · 21,3 · 14, and 6. 7.
Required:
List the distinct ways the number 770 can be written as a product of two positive integer factors.
Answers
Answer:
Step-by-step explanation:
770 = 2*5*7*11
So they are:
2*385
10*77
5*154
7*110
14*55
11*70
22*35
there is a 400 meter track. tom rides a bike at the speeed of 450 meters/minute. mike runs at the speed of 250 meters/minute. if both of them set out at the same time and same place, how soon will they meet for the first time?
Answers
Answer: Distance: 2250
Step-by-step explanation:
Find GCF of 450 and 250
One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63
Answers
Answer:
Step-by-step explanation:
$425-$300 = $125
$125/(40 hr) = $3.125/hr ≈ $3.13/hr
Simplify and give the answer in standard form: (3/8+5/12) ÷ (8/-15 x 27/16)
Answers
If the average(arithmetic mean) of g and 100 is 75,what is the value of g + 100?
Answers
The value of g + 100 is 150.
Given that,
The average of g and 100 is 75.
And we have to determine the value of g + 100.
So that means
The arithmetic mean of g and 100 is 75.
So, mathematically it should be
[tex]\frac{g + 100}{2} = 75\\\\[/tex]
So, g + 100 = 150
Therefore we can conclude that the value of g + 100 is 150
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Is 43,093 less than 43,903
Answers
Answer: yes
Step-by-step explanation:
43093 is less than 43903
What does si mean in temperature
Answers
Answer:
The kelvin (abbreviation K), also called the degree Kelvin (abbreviation, o K), is the SI unit of temperature. One Kelvin is 1/273.16 (3.6609 x 10 -3 ) of the thermodynamic temperature of the triple point of pure water (H 2 O). The ampere (abbreviation, A) is the SI unit of electric current.
Answer:
kelvin is si unit of tempreature
please help me
no links or files
thank you !
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after one month, Jane has saved $135. Does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? Why or why not? Explain your answer.
Answers
Jane is given a $100 gift to start and saves $35 a month from her allowance.
After 1 month, Jane has saved
After 2 months, Jane has saved
After three months, Jane has saved
and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Step-by-step explanation:
Find the equation of the parabola with its focus at (0,-4) and its directrix y = 4.
.O A) y=-1/gx²
B) y=1/1072
OC) y = -1/16x²
OD) y = -1/4X²
Answers
Answer:
C) y = (-1/16)x²
Step-by-step explanation:
I am sure there have been some scanning errors particularly with the answer options.
I am sure "x²" is a factor for the numerators and not for the denominators.
A parabola is the set of all points in a plane that are equidistant between a fixed point (focus) and a line (directrix).
In its simplest form, the parabola with focal length p has its vertex at the origin (0,0) and the focus is at the point (0,p). The directrix is the line y=-p.
in our case, p = -4, as the focus is (0, -4) and the directrix is y = 4.
and we therefore see that the vertex must be at (0, 0).
the standard form for a parabola with vertex at the origin :
x² = 4py
in our case
x² = 4×-4×y = -16y
y = -x²/16 or (-1/16)x²
Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours.
The exact distance Adam traveled was what?
a) 334.488
b) 3344.88
c) 3.334488
d) 33448.8
Answers
Answer:
Step-by-step explanation:
334.488 miles
Suppose that a rectangular yard has a width of 2x and a length of 5x+2. Which of the following represents the perimeter P as a function of x?
Answers
Answer:
f(x)=15x+5
thanks
Step-by-step explanation:
p=2(length +width)
p=f(x)=2(5x+2+2x)
=f(x)=10x+4+5x
collecting like terms,we get;
f(x)=15x+5
The expression that represents the perimeter P as a function of x is 14x + 14
The perimeter can simply be defined as the part or portion surrounding a shape or boundary. The formula for calculating the perimeter of the rectangular yard is expressed as:
The perimeter of the rectangular yard = 2(L+W) where:
L is the length
W is the width
Given the following parameters
Length = 5x + 2
Width = 2x
Substitute the given parameters into the formula above:
Perimeter = 2(5x+2+2x)
Perimeter = 2(7x + 2)
Perimeter = 14x + 4
Hence the expression that represents the perimeter P as a function of x is 14x + 14
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Describe what is contained in a credit report
Answers
Answer:
Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.
Sierra used the following steps to copy angle ABC:
1. Draw a ray with the endpoint D.
2. Place the compass on point B. Swing an arc that intersects rays BA and BC that creates point E on BA and Fon BC.
3. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G on the ray.
4. Open the compass to the distance between points A and E.
5. Keeping the compass at the same width, place it on point G and swing an arc that intersects the arc created from point D.
6. Label the intersection of the arcs created from point D with point H, and draw a ray from point D through point H.
In which step did the error occur? Explain. (1 point)
Step 2. She did not set the proper compass length.
O Step 2. She drew an arc Instead of a circle.
Step 3. She placed the compass at an incorrect point.
Step 4. She measured the incorrect length.
Answers
The process of copying an angle through construction involve ensuring
that the distance between the two rays forming the angle is the same or
equal in the original and copy of the angle at a given equal distance from
the vertex of both angles
The step where the error occur is step 4. She measured the incorrect length
The reason for the above selection is as follows:
The steps to copy an angle are as follows;
Draw the initial line, l, (the working line) of the copy of the angle as a ray with an endpoint, DIn the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, rPlace the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point GPlace the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EFPlace the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the constructionA critical step in the copying process involves the finding the distance
between the initial line and the terminal line EF at a given distance DG =
AE from the angle vertex
The step where the error occur is in step 4. by opening the compass
between points A and E which are points on the same line and placing the
compass at point G on line l to draw an arc intersecting the arc created
from point D at H, thereby making the radial distance between the two lines
forming the angle, in the copied angle at a distance E from the vertex,
equal to AE rather than EF
Therefore, the error occurred in step 4. She measured the incorrect length
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3,6,6,12,9,?,12 what comes next. Options
A.15
B.18
C.11
D.13
Answers
Answer:
a
Step-by-step explanation:
3x tables
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Answer:
a
Step-by-step explanation:
Has pattern 3x tables. Answer is 15 A.
I’m sorry, I suck at math, can someone please help me with this?
Answers
Answer:
w¹×w¹×w¹=w¹+¹+¹= w³
formula is a^m×a^n=a^m+n
Write the standard form of the equation of the circle with center (8,−1) that passes through the point (6,7)
Answers
Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.
Help!!! Make brainliest
Answers
Answer:
b=(2a-1)/(3a-1)
Step-by-step explanation:
a=(b-1)/(3b-2)
3ab-2a=b-1
3ab-b=2a-1
b(3a-1)=2a-1
b=(2a-1)/(3a-1)
find the equation of the line which is parallel to the line 5 x + 4y = 18 and makes an intercept of 2 units on the x-axis
Answers
Answer:
[tex]{ \underline{ \sf{equation \: is : \: y = - \frac{5}{4} x + 2 }}}[/tex]
Step-by-step explanation:
[tex]y = mx + c \\ 4y = - 5x + 18 \\ y = - \frac{5}{4} x + \frac{9}{2} [/tex]
since it is parallel, the gradients are the same; m = -5/4
[tex]y = - \frac{5}{4} x + 2[/tex]
Answer:
y=-5x+2
Step-by-step explanation:
x intercept=2
points will be (2,0)
slope of given line:
4y=-5x+18
y=mx+c
comparing equation:
m=-5
lines are parallel so given slope is equal to required slope.
using point slope form:
y-0=-5(x-2)
y=-5x+2
A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42.
Required:
Conduct a hypothesis test use the 10% significance level.
Answers
Answer:
correct u did it
Step-by-step explanation:
told me
To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:
Step 1: State the null and alternative hypotheses:
Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.
Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.
Step 2: Determine the significance level:
In this case, the significance level is given as 10%, which means α = 0.10.
Step 3: Conduct the hypothesis test:
To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.
Step 4: Calculate the test statistic and p-value:
Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.
Step 5: Compare the p-value to the significance level:
If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.
To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.
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Can someone please help me with 1-10 please and thank you
Answers
Answer:
yes me me me me me ,,,,,,,,,,,,,,,,,,,, ....
