Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 1 ) and (x₂, y₂ ) = (3, - 5 )
m = [tex]\frac{-5-(-1)}{3-5}[/tex] = [tex]\frac{-5+1}{-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
Original domain and range:
D: [-1,1] R: [0,1]
What is the domain and range of
y= f(x+2)+1
Step-by-step explanation:
if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].
the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.
the new function we could call g(x) is
y = f(x+2) + 1
so, remember, f(x) is only defined for x values of of [-1, 1].
the argument of f(x) must never be outside that interval, or it is undefined.
the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.
how can we regulate this back to the valid interval of -1 to 1 ?
by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]
the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).
so, it is [1, 2]
.A person climbs to the top of a mountain at the rate of 1.5 kilometers per hour and down the same way at a rate of
4.5 kilometers per hour. If he is gone for 6 hours, how far did he travel from camp to the top of the mountain?
Answer:
he traveled 9Km
Step-by-step explanation:1.5 x 6
Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?
answer onlly and answer correctly
Answer:
[tex]\frac{9}{64}[/tex]
Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A.
y = 275 - 6x
B.
y = 275 + 6x
C.
y = 6x - 275
D.
y = 275x - 6
x = 68°, find the measures of angles 1, 2, and 3.
Answer:
[tex] < 1 = 112 \degree\\ < 2 = 68 \degree \: \\ < 3 = 112 \degree[/tex]
Step-by-step explanation:
As the vertically opposite angles are equal,
[tex]x = < 2 \\ x = 68 \\ so \\ < 2 = 68 \degree[/tex]
As the angles in a straight line is added up to 180°
[tex] < 1 + < 2 = 180 \\ < 1 + 68 = 180 \\ < 1 = 112 \degree[/tex]
Also,
[tex] < 2 + < 3 = 180 \\ 68 + < 3 = 180 \\ < 3 = 112 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions:-)
Can someone please help me I will mark u brilliant
if f(x)=x^2 and g(x)=x-1 then f(g(x))=?
Answer in the picture.
Click on the solution set graphic until the correct one is displayed.
Answer:
empty set
Step-by-step explanation:
Answer: { } or empty set
the choses are:
{ } or empty set
{ infinite set of points on like}
{ point in quadrant I }
Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X
Answer:
3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.
What is the value of 2÷1/6
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?
Answer:
37.5cm sifjueikksksoowi
Answer:
38.5 = width
Step-by-step explanation:
please please please help
urgently needed!!
Answer:
Ф = 19.80 °
Step-by-step explanation:
by using pythagoras theorem
h² = p² + b²
13² = 5² + b ²
b = √194
b = 13.93
now
tanФ = p/b
Ф = tan¬1( 5 / 13.93)
Ф = 19.80 °
y=−4x−3 y=−2x+1 ( Ignore this part i had to write it)
Answer:
Solve equation [2] for the variable y
[2] y = -2x + 1
// Plug this in for variable y in equation [1]
[1] (-2x+1) + 4x = -3
[1] 2x = -4
// Solve equation [1] for the variable x
[1] 2x = - 4
[1] x = - 2
// By now we know this much :
y = -2x+1
x = -2
// Use the x value to solve for y
y = -2(-2)+1 = 5
Solution :
{y,x} = {5,-2}
Simone paid $14 for an initial year's subscription to a magazine. The renewal rate is $6 per year. This situation can be represented by the equation y = 6x + 14, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.
Answer:
12
Step-by-step explanation:
This is easy. Select different values for x to find y values.
For example, let x = 0.
y = 8x + 12
y = 8(0) + 12
y = 0 + 12
y = 12
On your table, you have x = 0 and y = 12.
Do the same using other values of x.
Jeremy has 10 socks. 6 of the socks are red 2 of the socks are blue 2 of the socks are green Jeremy takes at random two of the socks. Work out the probability that he takes two socks of the same colour.
ATQ
[tex]\\ \sf\longmapsto R+B+G=10[/tex]
[tex]\\ \sf\longmapsto 6+2+2=10[/tex]
Divide all by 2[tex]\\ \sf\longmapsto 4+1+1=5[/tex]
Now
R'=4B'=1G'=1Two of same colour so we need P(R')
[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]
[tex]\\ \sf\longmapsto 0.4[/tex]
Is there a proportional relationship between the area and radius of a circle?
Answer:
is this free choice?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Since A=pi x r2 There is a proportional relationship .
A person consuming 1600 calories a day and 92 grams of this is fat what would be the percentage of this would the division be 92x4 368÷1600 getting an answer of 0.23 I'm I doing this correctly
Answer:
i think ur on the right path
Step-by-step explanation:
if it is looking for the percent it would be 23%
HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Rewrite using a single positive exponent: 4^9/4^2
9514 1404 393
Answer:
4^7
Step-by-step explanation:
You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.
You also know that identical factors in the numerator and denominator of a fraction cancel.
The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:
[tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]
Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =
The line passing through which two points is perpendicular to the line 10x + 2y = 2
A (-2,-7) and (1,8)
B (-5,5) and (0,4)
C ( 0,-9) and (5,-8)
D (-4,12) and (-2,2)
E (-2,11) and (1,-4)
Answer:
[tex]10x + 2y = 2 \\ 2y = - 10x + 2 \\ y = - 5x + 1 \\ \perp \: l \rightarrow\: m = \frac{1}{5} \\ \frac{8 + 7}{1 + 2} = \frac{15}{3} = 5 \\ \frac{4 - 5}{0 + 5} = - \frac{1}{5} \\ \frac{ - 8 + 9}{5 - 0} = \color{yellow} \frac{1}{5} \: [/tex]
so the answer is C
you may check the rest...
Camilla's Burgers cooks its burgers either well done or medium. Last night the restaurant served 75 burgers in all, 45 of which were well done. What percentage of the burgers were well done? Write your answer using a percent sign (%).
Answer:
60%
Step-by-step explanation:
number well done/total burgers cooked ×100
45/75 × 100
4500/7500
60%
Check: Total × 60% = 75 ×.60 = 45 well done
2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c
Answer:
[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]
Answer:
a = 2, b = 3 and c = 3
i.)a + 2b
2 + 2(3) = 2 + 6 = 8
ii.)a + b + c
2 + 3 + 3 = 8
Thus, The answer of i.) is 8 and ii.) is 8
-TheUnknownScientist 72
how much is 80+198 in fractions
Answer:
278/1
Step-by-step explanation:
The question is kind of unclear... though this is 80+198 simplified.
Hope this helped! :)
23/24 as a decimal rounded to the nearest hundredth
Answer:
95.80
Step-by-step explanation:
hope I helped BESTIEE
Answer:
Step-by-step explanation:
23/24 as a decimal is 0.95833333333333.
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.9 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females
Answer:
The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.
write an equation of the line with a slope of -8 and a y-intercept of 2
Answer:
y=−2x+8
Step-by-step explanation:
https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates
Answer:
Step-by-step explanation:
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2) = (-4. 2)
Evaluate the equation 15d = -105
Answer:
Step-by-step explanation:
15d = -105
15d/15 = -105/15
d = -7
15d = -105
d = -105/15
d = -7
____
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