One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers
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Related Questions
Which statement is true about the line passing through points A and B?
A. The line has a finite length that can be measured.
B. There is only one way to name the line.
C. The line has infinitely many points.
D. There are only two points on the entire line.
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Kristen bought 2 candy bars for $1.29 each and a soda for$1.99. She had to pay $0.38 in tax. How much was her bill?
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Answer:
$4.95
Step-by-step explanation:
1.29 * 2 = 2.58 + 1.99 = 4.57
4.57 + .38 = 4.95
I need hellllllllllllllllllllppppp for this trigonometry question
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see attached picture:
the vertical change is the Y calculation
what is the value of x
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6^2 + 8^2 = x^2
36 + 64 = 100
sqrt(100) = 10
x = 10
a²+b²=c²
8²+6²=c²
64+36=c²
100=c²
√100=√c²
10=c
Using the math above, we can see that c (x) equals 10.
Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy
3xy(y + x - 1)
-3xy(y + x + 1)
3x(y2 + x - 1)
3x^2(y2 + 1 - 1)
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3xy(y + x - 1) <==
which number belongs to the solution set of the equation below? 9x=114
A.14
B.16
C.12
D.18
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You divide 114 / 9 and get your answer
9x = 114
Divide both sides by 9
9x/9 = 114/9
x = 38/3
In decimal it is x = 12.666667
So, C is the correct answer!
I hope I helped!
There are five position players on a starting basketball team: 2 guards, 2 forwards, 1 canter. Write a ratio in simplest from to express each relationship
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Final answer:
The ratios for the basketball positions in simplest form are guards as 2:5, forwards as 2:5, and the center as 1:5.
Explanation:
The question asks to write ratios for the positions on a basketball team and then to express those ratios in simplest form. There are 5 position players on a starting basketball team, consisting of 2 guards, 2 forwards, and 1 center. To express the relationships between each position, we can write the ratios of guards to the total number of players, forwards to the total number of players, and the center to the total number of players.
The ratio of guards to the total number of players is 2 guards to 5 total players, which simplifies to 2:5.
The ratio of forwards to the total number of players is 2 forwards to 5 total players, simplifying to 2:5.
Lastly, the ratio of the center to the total number of players is 1 center to 5 total players, simplified as 1:5.
What is the perimeter of a square with an area of 144 square inches?
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Since we know a square has sides of equal length, and to find the area of a square you square one of the side lengths, find the square root of 144.
The square root of 144 is 12.
So the means each side length is 12.
A perimeter is the distance around the square, or all of the side lengths added together.
4 sides on a square, each length is 12...
12 x 4 = 48
The perimeter is 48
Hope this helps! :)
A horizontal line passes through the point (5, –1). Which point is also on this line?
A.(0, 0)
B.(–1, 5)
C.(5, –4)
D.(–2, –1)
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Hope this helps! If you have any questions just ask!
Answer: -2,-1
Step-by-step explanation
If a horizontal line passes through the point (5;-1) then the equation if this line: y=-1
Each point (x;-1) is also on this line.
Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(
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2) 5x7
3) 2x2x3x3
4) 2x3x5x5
5) 2x2x3x3x5
6) 2x2x2x5x13
The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.
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Find the coordinates of the midpoint of ab with endpoints a(-10,3) and b(2,-2) worksheet answers
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(-4;1/2)
Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent the canoe
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$130/35=3.7 hours but since he can’t spend over that amount it would be 3 hours
Have a blessed day/night.
The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.
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2(2w) + 2w = 54.
4w+2w = 54
6w=54.
w=9
So length equals twice that...I think you can solve that on your own. xD
Determine whether the quantitative variable is discrete or continuous. number of lightning strikes in a city in one year'
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Therefore it is a discrete variable
What is the multiplicative rate of change of the exponential function shown on the graph?
A) 2/9
B) 1
C) 4
D) 9/2
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Answer:
Option: D is correct.
9/2
Step-by-step explanation:
We have to find the multiplicative rate of change of the exponential function shown on the graph.
We know that a general exponential function is given as:
[tex]y=ab^x[/tex]
where b is the multiplicative rate of change.
Now when x=0 we have y=1.
i.e. 1=a
Hence, a=1
and y=b^x
Also,
the graph passes through (1,9/2)
Now when x=1 we have y=9/2
i.e.
9/2=b
Hence, the multiplicative rate of change is:
9/2
The correct answer is A) 2/9. The multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
To determine the multiplicative rate of change of an exponential function from its graph, we need to identify two points on the graph that are one unit apart horizontally (i.e., one unit apart in the x-direction). The multiplicative rate of change is the ratio of the function values (y-values) of these two points.
Let's assume we have two points, (x, y) and (x+1, y'), where y and y' are the corresponding y-values of the exponential function at these x-values. The multiplicative rate of change, r, is given by:
[tex]\[ r = \frac{y'}{y} \][/tex]
From the graph, we can identify two such points. For example, if the function passes through the y-axis at (0, 1) and then at (1, 2/9), we can calculate the multiplicative rate of change as follows:
[tex]\[ r = \frac{2/9}{1} = \frac{2}{9} \][/tex]
This is the multiplicative rate of change of the exponential function. It indicates that for every unit increase in x, the y-value is multiplied by 2/9.
Therefore, the multiplicative rate of change of the exponential function shown on the graph is A) 2/9.
how do you solve this absolute value equation? ∣x−2∣=∣4+x∣
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Remember : Absolute is just the distance from zero.
Ex : l -4 l turns into 4, as it is 4 spaces away from zero on a number line :)
l x - 2 l turns into x + 2
l 4 + x l stays the same.
So, our equation now looks like this :
x + 2 = 4 + x
So, we're basically just trying to get x by itself.
So, subtract 2 from both sides.
x = 4 + x - 2
Then, subtract x from both sides.
x - x = 4 -2
0 = 2
Therefore, there are no solutions to this equation :)
~Hope I helped!~
How to write an equation with an undefined slope?
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an equation with an undefined slope is : x = a
parallal a : y axis
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
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(2x² -5x²)+(3x-3x)+(-4+8+2)
-3x+6
Answer:
The answer is -3x^2+6
How to find slope and y intercept 6x-5y=15?
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6x - 5y = 15 ....subtract 6x from both sides
-5y = -6x + 15...divide both sides by -5
(-5/-5)y = (-6/-5)x + (15/-5)...simplify
y = 6/5x - 3
y = mx + b...remember, m is ur slope and b is ur y int
y = (6/5)x + (-3).....ur slope(m) = 6/5 and ur y int (b) = -3
If f(x)=x^2-3x,find f(-1.8). Show all work
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____________________________________________________
Basically, plug in "(-1.8)" for "x" ; and solve:
Given: f(x) = x² − 3x ;
____________________________________________________
f(-1.8) = (-1.8)² − 3(-1.8) ;
f(-1.8) = [(-1.8)*(-1.8)] − [3(-1.8)] ;
f(-1.8) = 3.24 − (-5.4) ;
f(-1.8) = 3.24 + 5.4 ;
f(-1.8) = 8.6 .
____________________________________________________
The value of f(x) = x²-3x at x = -1.8 is -2.16.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We have the quadratic function:
f(x) = x²-3x
So, to find the value at x = -1.8:
Substitute the value to the function.
f(-1.8) = (-1.8)²-3(-1.8)
f(-1.8) = 3.24 - 5.4
f(-1.8) = -2.16
Therefore, the value is -2.16.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ2
5/16t=-9
Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!
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If that assumption is correct, then we do two things to solve for t. First, we multiply both sides by 16. This undoes the division of 16 on the left side
[tex]\frac{5}{16}t = -9[/tex]
[tex]16*\frac{5}{16}t = 16*(-9)[/tex]
[tex]5t = -144[/tex]
-------------------------------
Then we divide both sides by 5 to undo the multiplication of 5 (note: 5t means 5*t or "5 times t")
[tex]5t = -144[/tex]
[tex]\frac{5t}{5} = \frac{-144}{5}[/tex]
[tex]t = -\frac{144}{5}[/tex]
-------------------------------
So here's what all the steps look like:
[tex]\frac{5}{16}t = -9[/tex]
[tex]16*\frac{5}{16}t = 16*(-9)[/tex]
[tex]5t = -144[/tex]
[tex]\frac{5t}{5} = \frac{-144}{5}[/tex]
[tex]t = -\frac{144}{5}[/tex]
note: -144/5 converts to the decimal value of -28.8 so t = -144/5 is the same as t = -28.8
What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
Enter your answer in the box
Answers
15 square units.
EXPLANATION
This triangle has one of its height(altitudes) falling outside the triangle.
We determine the base using absolute value method. This is because the coordinates of [tex]R(-4,2)[/tex] and [tex]S(1,2)[/tex] tell us that this line is horizontal. The y-values are constant.
Therefore [tex]|RS|=|1--4|[/tex]
[tex]\Rightarrow |RS|=|1+4|[/tex]
[tex]\Rightarrow |RS|=|5|[/tex]
[tex]\Rightarrow |RS|=5[/tex]
Also
The triangle is bounded between [tex]y=2[/tex] and [tex]y=-4[/tex].
Therefore the vertical height of interest,
[tex]|RT|=|-4-2|[/tex]
[tex]|RT|=|-6|[/tex]
[tex]|RT|=6[/tex]
We can now find the area using the formula
[tex]Area=\frac{1}{2}base\times height[/tex]
[tex]Area=\frac{1}{2}\times6 \times 5[/tex]
[tex]Area=3 \times 5[/tex]
[tex]Area=15[/tex] square units
what is the measure of <DCF
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Answer:
The measure of angle DCF is 129 degrees.
Step-by-step explanation:
Angle DCF is the sum of angle DCE plus angle ECF.
This is because, DCF is the main angle and DCE and ECF are its two parts.
Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.
The answer is :
The measure of angle DCF is 129 degrees.
If a number is rational then it must be a whole number true or false
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What is the solution to the following system of linear equations?
{4x - y = -6
{x - 2y = -5
Please explain how you solved!
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Final answer:
The solution to the system of linear equations is x = -1, y = 2
Explanation:
To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2
what would 3/4 - 3/4 be?
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So, the answer is 0.
Hope this helped!
What are the solutions to x2 8x 7 = 0? x = –8 and x = –7 x = –7 and x = –1 x = 1 and x = 7 x = 7 and x = 8?
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x² + 8x + 7 = 0
Factorize the left side.
x² + 8x + 7 = (x + 1)(x + 7)
Therefore
(x + 1)(x + 7) = 0
When (x + 1) = 0, obtain x = -1.
When (x + 7) = 0, obtain x = -7.
The solutions are x = -1 and x = -7
Answer: x = -7 and x = -1.
The correct solutions to the given equation are x = 1 and x = 7.
The solutions to the equation x² - 8x + 7 = 0 are x = 1 and x = 7.
To find these solutions, we can factor the quadratic equation by finding two numbers that multiply to 7 (the constant term) and add up to -8 (the coefficient of the x term).
Therefore, the correct solutions to the given equation are x = 1 and x = 7.
Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4
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Answer D
[tex](x- \sqrt{2} )*(x+ \sqrt{2} )*(x+2)\\\\ =(x^2-2)(x+2)\\\\ =x^3+2x^2-2x-4\\\\ [/tex]
If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3
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Answer: B - lines that intersect at a single point
Answer:
Answer: B - lines that intersect at a single point
Step-by-step explanation:
glad i helped