Answer:
-5x^3-38x^2-76x-46=0
nadia typically types 32 words per minute, but her rate may vary by as much as 5 words per minute. let x be the actual rate at which nadia types. what is the range of rates, in words per minute , that nadia could type
The range of rate at which Nadia could type is given by the inequality equation 27 ≤ x ≤ 37 where x is the number of words per minute
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the total number of words typed per minute be = x
Now , the value of x is calculated by
The number of words Nadia can type = 32 words
The rate of change of words per minute = 5 words
So , Nadia can type 5 words slower or faster
So , the value of x ranges from ( 32 - 5 ) and ( 32 + 5 )
So , the value of x ranges from 27 words per minute to 37 words per minute
The inequality equation is given by
27 ≤ x ≤ 37 , where x is the number of words typed by Nadia per minute
Therefore , the inequality equation is 27 ≤ x ≤ 37
Hence , the range of the inequality equation is 27 ≤ x ≤ 37
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Here's a question ~
p1 and p2 are points on either of the two lines
[tex]y - \sqrt{3} |x| = 2[/tex]
at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.
Answer:
(0, 5√3/2 + 2)Step-by-step explanation:
Given is the absolute value function.
Observations:
It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
The angle YAP₂ is:
arctan (1/√3) = 30°The distance AY is:
AY = AP₂ cos 30° = 5*√3/2The distance from the x-axis to the point Y is:
5√3/2 + 2, added the y- intercept of the graphed linesThe coordinates of the point Y:
(0, 5√3/2 + 2)Determine if I Il m based on the information given on the diagram. If yes, state the converse that
proves the lines are parallel.
Answer:
I believe, that they are parallel because they both have 90° angles meaning that the other angle has to be 90° as well. I dont really know how to explain it but they are both in the same position and have 90° angles im not the best with these. •So im not exactly sure if this is correct though.
-They also have corresponding and congruent angles that do match up, so yes they are parallel to eachother
HELP! QUICK! NO BOTS!
How much are US dollars worth in Japan
Answer:
A US dollar is worth almost 114.34 Yen in Japan.
Step-by-step explanation:
( Yen is the currency they use in Japan )
Answer:
1 us dollar = 114.30 Japanese Yen
100 us dollars = 11430.65 Japanese Yen
Step-by-step explanation:
hope this helps
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train
travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
Do not do any rounding.
The width of a rectangle measures (26 – 8c) centimeters, and its length measures
(106 + 6c) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Answer:
first one is correct
Step-by-step explanation:
length of a rectangle = 2b - 8c
breadth of a rectangle = 10b + 6c
now , formula to calculate the perimeter of rectangle is
p = 2 (l + w)
no substitute the value of l(length) and w(width)
p = 2{(2b - 8c) + (10b + 6c)}
p = 2(2b - 8c + 10b + 6c)
p = 2(12b - 2c)
p = 24b - 4c
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Answer:
false
Step-by-step explanation:
Which arrangement shows - 27 -4.1, -52and and 3 in order from least to greatest? 3 0 - 4.1. - 27 -3, -5% 0 , 0 -53 -3.-4.1, -7 27 - - 0 -53 -23.-4.1. -3 0 -4.1. - 27. -53 -3 O - hy
Answer:
-52 < -27 < -4.1 < 3
Step-by-step explanation: A negative number is lower than a positive number. The higher a negative number is the lower it is. For example 54 is greater than -54. I hope I helped! Sorry if I gave incorrect information, I didn't understand your question very much. I'm just a kid too.
PLEASE HELP , WILL GIVE A BRAINLY. What is the domain of the function?
Answer: I believe it is a. Sorry if I am incorrect
Step-by-step explanation:
Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
check which of the following numbers are in proportion,10,20,30,40
t2-t1=20-10=10 t3-t2=30-20=10. t4-t3=40-30=10 therefore it is in proportion
3 x 100 + 5 x 10 +6⋅1 + 8 x .1 + 2 x .01
100 points AND crown to right answer
Can someone please help me with this?
Find the x- and y-intercepts of the equation.
4x − 2y = 2
(A) (1/2,0). (0,1)
(B). (2, 0), (0, −1)
(C). (2, 0), (0, −1)
(D). (1/2, 0), (0, −1)
Answer:
Option D
Step-by-step explanation:
Convert to slope-intercept form:
[tex]4x-2y=2[/tex]
[tex]-2y=2-4x[/tex]
[tex]y=-1+2x[/tex]
[tex]y=2x-1[/tex]
Find the x-intercept by plugging in y=0:
[tex]y=2x-1[/tex]
[tex]0=2x-1[/tex]
[tex]1=2x[/tex]
[tex]\frac{1}{2}=x[/tex]
[tex]x=\frac{1}{2}[/tex]
Therefore, the x-intercept is [tex](\frac{1}{2},0)[/tex]
Find the y-intercept by plugging in x=0:
[tex]y=2x-1[/tex]
[tex]y=2(0)-1[/tex]
[tex]y=0-1[/tex]
[tex]y=-1[/tex]
Therefore, the y-intercept is [tex](0,-1)[/tex]
So, the correct answer is option D.
Answer:
D
Step-by-step explanation:
1. To find the x intercepts, set y equal to 0 and solve for x
4x - 2y = 2
4x -2(0) = 2
4x - 0 = 2
4x = 2
x = 1/2
2. To find the y intercepts, set x equal to 0 and solve for y
4x - 2y = 2
4(0) - 2y = 2
0 - 2y = 2
-2y = 2
y = -1
how do you do this please help
Answer: can u be more direct plz
Step-by-step explanation:
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}
∘
with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
Thus:
x = length of the ladder (hypothenuse)
Reference angle [tex](\theta) = 75^{\circ}[/tex]
25 ft = Opposite
Apply SOH:
Thus,
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Plug in the values[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
Learn more here:
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Answer:
x=32.09 feet long
Step-by-step explanation:
maths help me maths giving 11 point
Answer:
smallest integer value of m=4
Step-by-step explanation:
how would I solve this??
Answer:
y = 140
Step-by-step explanation:
you'd do:
y=25(7)-35
y=175-35
y=140
to double-check your math:
140 = 25(7)-35
both sides will equal 140 (or the same value) if done properly
I need help asap pls I am begging!!!!!
Answer:
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what is the answer to∠X≅∠X
Answer: ∠A ≅ ∠A; reflexive property
Step-by-step explanation: found it online :)
Solve the system of equations using the substitution method.
x+y=6
x = 2y
Answer:
x=4, y=2
Step-by-step explanation:
if x=2y just put 2y into the spot where x is for x+y=6
x+y=6
(2y) + y = 6
3y = 6
y = 2
now that I know y I can then replace y with the number 2
x= 2y
x = 2(2)
x= 4
Which rule describes the pattern shown?
41, 54, 67, 80, 93, 106
Choose 1 answer:
(A) Add 13.
(B) Add 15.
(C) Multiply by 6.
(D) Multiply by 8.
Answer:
add by 13 so it would be letter A
Answer:
A
Step-by-step explanation:
Write an algebraic expression for three times the sum of the first two multiples of four.
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.
Answer:
The answer is B or It must be a positive number since it represents a number of hours.
Step-by-step explanation:
what is 7/10 ÷ 3/8 ? plz i need help
Answer:
28/15
Step-by-step explanation:
have a wonderful day :)
Answer:
1 13/15
Step-by-step explanation:
7/10 ÷ 3/8
Copy dot flip
7/10 * 8/3
Rewrite
7/3 * 8/10
Simplify
7/3 * 4/5
Multiply
28/15
Change to a mixed number
15 goes into 28 1 time with 13 left over
1 13/15
helppppppppppppppppppppp
Answer:
[tex] \frac{ {x}^{2} + - 4x - 2 }{ {x}^{2} - 4 } + \frac{8x + 6}{{x}^{2} - 4} \\ = \frac{ {x}^{2} + - 4x + 8x - 2 + 6 }{ {x}^{2} - 4 } \\ = \frac{ {x}^{2} + 4x + 4 }{ {x}^{2} - 4 } \\ = \frac{ {(x + 2)}^{2} }{(x - 2)(x + 2)} \\ = \frac{x + 2}{x - 2} [/tex]
Which angle is not necessarily congruent to 1?
Answer:
12
Step-by-step explanation:
the answer is just 12.
[tex]10\times 5\times 13=?[/tex]
Answer:
[tex] = > 10 \times 5 \times 13[/tex]
[tex] = > 50 \times 13[/tex]
[tex] = > 650[/tex]
help me please.
Rounding questions.
Step-by-step explanation:
a) 6400
b) 4800
c) 32000
hope this answer helps you dear!
Find the value of x and then identify the measure of each of the angles.
Answer:
x° = 22°Step-by-step explanation:
[tex](x + {46}^{o} ) + {x}^{o} = {90}^{o} \\ {x}^{o} + {46}^{o} + {x}^{o} = {90}^{o} \\ {2x}^{o} + {46}^{o} = {90}^{o} \\ {2x}^{o} = {90}^{o} - {46}^{o} \\ {2x}^{o} = {44}^{o} \\ {x}^{o} = \frac{ {44}^{o} }{2} \\ {x}^{o} = {22}^{o} \\ [/tex]
what does 2 - 2 equal
Answer:
2 -2 = 0
hope this helps <3