Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.
x<1 true
Step-by-step explanation:
3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified
Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y (Addition Property of Equality)
1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)
y-y1=m(x-x1) (point-slope formula)
y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)
y=0.2x-6.2 (This is the same answer, but written with decimals)
16. Use the vertical line test to determine whether the relation is a function.
Answer:
neither of them are
Step-by-step explanation:
The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?
Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Answer:36
Step-by-step explanation:
Explain how to find the distance between two integers using the difference.
Answer:
read explanation for answer
Step-by-step explanation: Finding the distance between any two integers is obtained by;
Taking the absolute value of the difference between the two integer values.
For instance :
Point A = - 10
Point B = 5
The distance between the two integer points is :
Difference = Point A - Point B = - 10 - 5 = - 15
Absolute value = |-15| = 15
Therefore, This procedure works for any pair of integer distances.
Answer:Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.
Step-by-step explanation:
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8
Expand and simplify: (x - 7)(x+7)
Answer:
[tex]x^{2} -49[/tex]
Step-by-step explanation:
Answer:
[tex](x-7)(x+7) =x^2 -7^2 = x^2 -49[/tex]
Step-by-step explanation:
Simplify completely
(192x^12/3x^3)^1/3
Show all work for full credit
Answer and Explanation: The answer and explanation is in the image.
please help!! easy but i don't understand <3
in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]
Below the function h (x) ang g (x) are graphes. At which values of x is true that h (x) > g (x)? Select all that apply.
Answer:
25
Step-by-step explanation:
At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given graph of the function,
At x = 10 the h(x) > g(x)
At x = 31 the h(x) > g(x)
Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".
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A bag of mixed nuts has 18 almonds, 8 cashews, and 14 peanuts. If one nut is selected, what is the probability that a peanut is chosen?
Provide the answer as a simplified fraction.
Answer:
7/20
Step-by-step explanation:
Answer:
ok so here is answer option no1
1/8 + 1/4 = 3/8
or you could do
18 plus 14 equals 32divided into 8 equals 4
Step-by-step explanation:
if this is wrong I'm very very very really really really sorry.
Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
Answer:
[tex]\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}[/tex]
Step-by-step explanation:
[tex]\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>[/tex]
Answer:
Step-by-step explanation:
-u-v = 6,-11
u-v = -10,-3
v-u = 10,3
Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3
Answer:
y=1/3x-8
Step-by-step explanation:
The slope intercept form of a line is y=mx+b
m stands for slope and b stands for y intercept
So ... simply put 1/3 in for m and -8 in for b
Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
8y=-5x+16
y=-5/8x+2.
To be perpendicular, the slope has to be 8/5.
What is the slope-intercept form of the line?
The slope-intercept form is y=mx+c
Where m is the slope and c is the y-intercept.
So y=8/5x+b.
We can plug in the given coordinates to get
7=8/5*-5+b
7=-8+b
b=15.
So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15
5y=8x+75
5y-8x=75
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
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Over a lengh of 101 inches the hight changes 5" what is the angle?
Answer:
2.83°
Step-by-step explanation:
The tangent of an angle is the ratio of rise to run.
θ = arctan(5/101) ≈ 2.83°
_____
We assume the length is referring to the horizontal distance.
If it is the distance along the path, then the angle is ...
θ = arcsin(5/101) ≈ 2.84°
At noon, a tank contained 8 in. of water. After several hours, it contained 6 in. of water. What is the percent decrease of water in the tank?
Answer:
25%
Step-by-step explanation:
8-6=2
2/8=0.25
0.25×100=25%
Evaluate the expression.
3x + 2y for x = 4.2, y = 2.7
Answer:
18
Step-by-step explanation:
4.2 • 3= 12.60
2.7 • 2= 5.4
12.6+ 5.4=
18.0
Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?
Answer: Carol bought 4 pounds(lb) of meat.
Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.
The weight of the meat bought by Carol is 4 pounds.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.
The weight of the meat will be calculated as:-
0.32 x 5 = 1.60,
0.8 x 3 = 2.40,
Total weight,
1.60 + 2.40 = 4 pounds
Therefore, the weight of the meat bought by Carol will be 4 pounds.
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A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.
Answer:
2878045.500 cubed metres
Step-by-step explanation:
volume = 1/3* pie* r*r*h
= 1/3 *3.14*165*165*101
=2878045.5 cubed metres
i hope it's helpful
Round 4.789443 to the nearest whole number
Answer:
5
Step-by-step explanation:
I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4
Simplify the expression
3+4·10 – 8
Answer:
35
Step-by-step explanation:
one word: PEMDAS. technically they are all a bunch of words but whatever...
P: parentheses
e: exponents
m: multiply
d: divide
a: add
s: subtract
first we multiply 4*10 since that's first on the list
4*10=40
we have
3+40-8
then we add
3+40
which is 43
then we subtract 8 from it as we have 43-8
which is in the end:
35
Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.
Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.
Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales taxOhio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales taxRhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales taxTherefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.
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What is the mathematical formula of ligma
Who's Joe? I am in dire need of therapy.
What is the slope of the line?
1/2 2 1 -2
Answer:
the slope of the line is 2
Step-by-step explanation:
Answer:
The slope of the line is 2.
Step-by-step explanation:
The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).
We can use the formula for finding slope here.
[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:
[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]
Therefore, the slope is 2.
A certain function multiplies Each input number by three to produce an output number given that X represents the input numbers and Y represents the output numbers which graph represents the function.
Please answer
No links
Picture is included
Answer:
The answer is A. Hope this helped!!!!!!
Answer:
answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C
7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.
Answer:
$348.75
Step-by-step explanation:
$465 * 25%= 116.25
465-116.25 = $348.75
With the last of your gold, you decide to buy a Ferrari F50 GT1. It has a maximum speed of 380 km/hour. How fast is that in MPH (miles per hour)
Answer:
237.5 miles / hour
Step-by-step explanation:
The conversion factor is 1.6 km = 1 mile.
1 mile / 1.6 km = x / 380 km / hour Multiply both sides by 380 km/hour
380 km/hr * 1 mile / 1.6km = x
237.5 miles / hour = x
whats 3-6h if h = -1
Answer:
9 is the answer.
Step-by-step explanation:
Given:
h = -1=> 3-6h
=> 3 - 6(-1)
=> 3 + 6
=> 9
Therefore, 9 is the answer.
Hoped this helped.
Help help help help math math
What is the value of x and y?
Answer:
x = 90y = 43Step-by-step explanation:
The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.
x° = 90°
__
The acute angles in a right triangle are complementary.
y° = 90° -47°
y° = 43°
Solve for the value of x
Answer:
x=9
Step-by-step explanation:
To solve for x, you can set up a proportion between the 2 triangles we see.
The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].
Set both proportions equal to each other.
[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]
Cross multiply and solve for x.
[tex]16(2x+17)=(28)(20)[/tex]
32x+272=560
32x=288
x=9
