Answer:
[tex]\sf m<-6[/tex]Step-by-step explanation:
[tex]\sf 6m + 2 < 5m-4[/tex]
➠Subtract 2 from both sides:
[tex]\sf 6m+2-2<5m-4-2[/tex]
➠ Simplify:
[tex]\sf 6m<5m-6[/tex]
➠ Now, Subtract 5m from both sides:
[tex]\sf 6m-5m<5m-6-5m[/tex]
[tex]\sf m<-6[/tex]
______________________________________
[HELP FAST] A line passes through the point (4, -9) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
[tex]y= \frac{-5}{4}x -4[/tex]
Step-by-step explanation:
using pt-slope form, we get [tex]y - (-9) = \frac{-5}{4}(x-4)[/tex]. Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into [tex]y = \frac{-5}{4}x + 5[/tex] by factoring -5/4 into (x-4) and subtracting 9 from both sides.
HELP ME PLEASE HURRY PLS
Answer:
A, no B, no, C, yes
Step-by-step explanation:
A. is not equivalent while b and c are equivalent.
a. isn't equivalent because 3/4 with the denominator of 12 is 9/12. Therefore, 9/12 isn't equal to 10/12.
b. is equivalent because -5/10 is shortened to -1/2. At the same time, -4/8 is also shortened to -1/2. Therefore, it is equivalent.
c. is equivalent as well because 10/8 into a mixed fractions is 1 2/8. Which simplified is equal to 1 1/4. Which, is equivalent to 1 1/4/
Hope this helped.
Write the equation of the line that passes through the points (9,8) and (6,3). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y - 3 = 5/3(x - 6)
General Formulas and Concepts:
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (9, 8)
Point (6, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3-8}{6-9}[/tex]Subtract: [tex]m=\frac{-5}{-3}[/tex]Simplify: [tex]m=\frac{5}{3}[/tex]Step 3: Write function
Slope m = 5/3
Point (6, 3)
Substitute: y - 3 = 5/3(x - 6)slope intercept form for (1,3) and (-3,-5)
Answer:
sorry i dont understand you
Step-by-step explanation:
The width of a rectangular prism is five less than the length, and the height of the prism is twice the length. Let x
represent the length of the prism.
For what values of x will the volume of the rectangular prism be 500 cubic units or greater?
O x < 8.5 units
O x > 8.5 units
O XS 8.5 units
O x 28.5 units
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP :)
Answer:
c
Step-by-step explanation:
because it a custom made
Hideki buys a skateboard that costs c dollars. After 6.5% sales tax is added, the total cost can be expressed by the
expression c +0.065c. What is this expression written in simplest form?
OA) 0.1650
O B) 1.0650
O C) 1.650
O DC (1 + 0.065)
The simplest form of the given expression is c(1+0.065). Therefore, option D is the correct answer.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Given that, Hideki buys a skateboard that costs c dollars.
After 6.5% sales tax is added, the total cost can be expressed by the expression c +0.065c
The simplest form of the expression is
c +0.065c
= c(1+0.065)
= c(1.065)
= 1.065c
The simplest form of the given expression is c(1+0.065). Therefore, option D is the correct answer.
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I have a math question I need help answering.
determine the account balance at 2 years if $20,000 was invested in an account that conference annually at 4.5 % per year. Round to the nearest cent.
I NEED HELP ON THIS QUESTION ASAP!!
Answer:
true, true, false, false
Step-by-step explanation:
a. when inside the parallel line it is interior and alternate on the line going through them
b. when outside the parallel line they are exterior amd alternate as the one before.
c. they are on the same side of the line going through the parallel lines.
d. when taking one angle and putting it of the other, its easier to tell if they match/ are the same angle
What is the equation of the line that has a slope of 1/2 and contains the points 0,3?show work please
Answer:
Step-by-step explanation:
y - 3 = 1/2(x - 0)
y - 3 = 1/2x - 0
y = 1/2x + 3
7^14•7^2
A.1^7
B.7^16
C.7^12
D.7^7
there are 1700 seats in a theatre. 40% of the tickets to a concert at the theatre are category 1 tickets and the rest are of other categories. The organizer decides to change some tickets from the other categories to category 1. The number of tickets of other categories then become 55%. How many more category 1 tickets are added?
Answer:
255 added
Step-by-step explanation:
1700 x 55% = 935
1700 x 40% = 680
935 - 680 = 255
There are 255 more category of 1 tickets are added.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of seats in a theatre = 1700
And, 40% of the tickets to a concert at the theatre are category 1 tickets and the rest are of other categories.
The organizer decides to change some tickets from the other categories to category 1.
Now,
Number of category 1 tickets = 40% of 1700
= 40/100 x 1700
= 40 x 17
= 680
And, The number of tickets of other categories = 55% of 1700
= 55/100 x 1700
= 55 x 17
= 935
So, Number of added tickets of category 1 = 935 - 680
= 255
Thus, There are 255 more category of 1 tickets are added.
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Which of the following tables does not represent a function?
Answer:
the letter choice "B"
Step-by-step explanation:
it repeats the x axis
What is What is the equation of the line that passes through the point (−4,2) and has a slope of 1/4 (1 over 4 is a fraction btw)
Answer:
B = y - mx
= 2 - (1/2)(-4)
= 2 - -2
= 4
y = (1/2)x + 4
Step-by-step explanation:
Answer:
You can choose the equation that you are familiar with.
[tex]y - 2 = \frac{1}{4} (x + 4)[/tex]
or
[tex]y = \frac{1}{4} x + 3[/tex]
Step-by-step explanation:
I'm not sure which formula you'd like me to use so I'll do both formula, the point-slope form and slope-intercept form.
We will be doing point-slope form first.
This is the point-slope form:
[tex]y - y_1 = m(x - x_1)[/tex]
Since we already have the given information needed (the slope and the points), we just need to plug in.
[tex]y - 2 = \frac{1}{4} (x + 4)[/tex]
Done!
-----------------------------------------------------
Let's do slope-intercept form now.
The is how the slope-intercept form looks:
[tex]y = mx + b[/tex]
Even though we have some given information, we need to acquire more, the b, also known as the y-intercept (the m, is also known as the slope.).
Let's find it by plugging in and solving the equation.
[tex]y = mx + b \\ 2 = \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: \: \: \: }{3 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
We found b (y-intercept), so now all we gotta do Is plug in for the final equation!
[tex]y = \frac{1}{4} x + 3[/tex]
Done!
A 96-inch board is cut into two pieces. One piece is 6-inches longer than twice the other piece. Let x = the length of the first piece. Let y = the length of the second piece. Which is the system of equations that represents this situation? *
x - y = 96; y = 6x + 2
x + y = 96; y = 2x + 6
x + y = 6; y = 96x + 2
x - y = 2; y = 6x + 96
Answer:
B
Step-by-step explanation:
ok so since the two pieces added together just be 96 inches, we know that
x+y=96
that already eliminates everything but B.
let's keep going though.
let's have y be the piece that is 6 inches longer than double the length of the other piece.
y=2x+6
How many lines of symmetry does this figure have?
A) 2
B) 3
C) 4
D) 6
Answer:
6
Step-by-step explanation:
you can connect opposite vertices and opposite sides
Answer:
6
Step-by-step explanation:
Please help me! It’s super late! Help asap!
Answer:
D. NEITHER
Step-by-step explanation:
The triangle in the question has 2 angles, 62 degrees and 52 degrees.
3 angles add up to 180 degrees, so missing angle is
62+52 +x = 180
180 - 114 = 66 degrees
None of the triangles have the same angles, thus none of similar.
please give thanks by clicking the heart button! :)
Answer:
D) neither
Step-by-step explanation:
Because
A line passes through the points (5, –7.5) and has a y-intercept 10.
Which is a linear function in the form of y = mx + b for this line?
A. y = 0.5x + 10
B. y = –1.5x + 10
C. y = –3.5x + 10
D. y = 10x – 3.5
Answer: y = -3.5x + 10 so C.
Step-by-step explanation: We’re in same class and I got that right :) lmk if you need help or answers .
Susan is having a debate with her brother about wave
movement. She believes waves will always travel the same
speed if they have the same energy, no matter what the
medium it is traveling through. Her brother says this is not
correct, and different mediums lead to different wave
speeds. Who is right and why?
Answer:
Susan's brother is correct.
Step-by-step explanation:
What is the value of x in the figure?
Enter your answer in the box.
With easy explanation, I’ll give brainliest to whoever can explain it :)
Answer:
the answer is 29° because you have to subtract 61 from 90 nad you get 29.
Answer:
X = 29°
Step-by-step explanation:
You know that the whole thing equals a 90° angle, and you know that there is a 61° angle, so just simply subtract 90 from 61
Therefore, your answer is 29°
I’m really struggling ,please help!!!!
Answer:
x = 16°
Step-by-step explanation:
The triangles are approximately congruent
90 + 66 = 156
180 - 156 = 24
(x + 8) = 24
x = 16°
check
(16 + 8) = 24
90 + 66 + 24 = 180
Answer: x=16
Explanation:
The triangles shown are congruent and both of the triangles should have the sum of the angles as 180°. The equation should be (x+8)+66+90=180. Add the like terms to result with x+164=180. Subtract 156 to both sides to result with x=16.
A 25 - foot ladder is leaned against a wall. If the base of the ladder is 7 ft from the wall,
how high up the wall will the ladder reach?
Answer:
24
Step-by-step explanation:
Since the ladder, wall, and ground form a right triangle, you can use this formula:
A squared + B squared = C squared
A = 7 feet
C = 25 feet
B = distance the ladder will reach
49 + B squared = 625
B squared = 625 - 49
B = square root of 576
B = 24 feet
Answer:
24 feet
Step-by-step explanation:
If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?
Answer:
True
Step-by-step explanation:
The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.
Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.
We need to show that A = 180 - 2B for an isoceles triangle
The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.
Since this half triangle is a right-angled triangle, the third angle in it is 90.
So, A/2 + B + 90 = 180 (Sum of angles in a triangle)
subtracting 90 from both sides, we have
A/2 + B + 90 - 90 = 180 - 90
A/2 + B = 90
subtracting B from both sides, we have
A/2 + B = 90
A/2 = 90 - B
multiplying through by 2, we have
A = 2(90 - B)
A = 180 - 2B
Since A = 180 - 2B, then our triangle is an isosceles triangle.
Jane buys 2 postcards during each day of vacation. How many days will Jane have to spend on vacation before she will have bought a total of 14 postcards?
Answer:
7 days
Step-by-step explanation:
14/2=7
14 divided by 2 equals 7 days because she buys 2 postcards each day and she bought a total of 14 postcards.
Solve for the value of w w+8°+48°
Answer:
3
Step-by-step explanation:
degrees add up to 180 so you add 8 + 48 and that equals 56 so you divide 180 by 56 and that equals 3.21 but you round down and it's just 3
Which of the following is an example of a complex number that is not in the set of real numbers?
-7
2 + StartRoot 3 EndRoot
4 + 9i
Pi
Answer:
4 + 9i
Step-by-step explanation:
A complex number consists of a real part and an imaginary part, that is
z = x + yi ( x is the real part and yi the imaginary part )
A complex number does not exist in the set of real numbers.
Answer:
4 + 9i
Step-by-step explanation:
How many solutions does the following system of equations have:
3x - 2y = 4
12x - 8y = 16
A. one solution
B. two solutions
C. no solution
D. infinite solutions
Answer:
D. Infinite solutions
Step-by-step explanation:
You divide the 2nd equation by 4.
3x - 2y = 4
(12x - 8y = 16)/4
3x - 2y = 4
3x - 2y = 4
This is exactly the same equation which means that the lines are forever intersecting which means that it has INFINTE solutions.
which number is less than -8
Answer: -8 through -∞, so -8>x>-∞
Step-by-step explanation: This is pretty simple, as this means any number between -8 and -∞.
Divide
3
8
÷
2
3
and express the answer in simplest terms.
Answer:
1[tex]\frac{15}{23}[/tex]
Step-by-step explanation:
38 ÷ 23 = [tex]\frac{38}{23}[/tex]
Since 38 is bigger than 23, you can pull a [tex]\frac{23}{23}[/tex] from [tex]\frac{38}{23}[/tex].
[tex]\frac{38}{23}[/tex] = [tex]\frac{23}{23}[/tex] + [tex]\frac{15}{23}[/tex]
[tex]\frac{23}{23}[/tex] is basically one whole, so you can put the answer as a mixed number.
[tex]\frac{23}{23}[/tex] + [tex]\frac{15}{23}[/tex] = 1 + [tex]\frac{15}{23}[/tex]
= 1[tex]\frac{15}{23}[/tex]
write 7×7×7×7×7×7 in index
Answer:
117649
Step-by-step explanation:
hope this helps :)
Answer:
117649
Step-by-step explanation:
