Answer:
As x increase, y decreases.
The rate of change for y as a function of x is not constant, therefore the function is non-linear.
For all values of x, the function y > 0.
The y-intercept of the graph is the function value y = 8.
When x = 1, the function value y = 5.
can someone help me with this question please.
Answer:
a) 280°
b) Ans - (D) P is North East of Q
What is the equation of the line that passes through (4,3) and (2, -1)?
Answer:
y = 2x - 5
Step-by-step explanation:
Step 1: Find slope m
m = (-1 - 3)/(2 - 4)
m = -4/-2
m = 2
y = 2x + b
Step 2: Find b
-1 = 2(2) + b
-1 = 4 + b
b = -5
Step 3: Rewrite equation
y = 2x - 5
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
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The vertex of the graph of y = -4(x + 3)2 + 2 is ( , )
Answer:
Step-by-step explanation:
This quadratic is of the form
[tex]y=-a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (x - h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).
In the parallelogram below,
z = [ ?
The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 3.
Answer:
The coordinates of point P along the segment AB is (-1, 6).
Step-by-step explanation:
It is known that ratio of AP to PB is:
[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]
Or vectorially speaking:
[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]
The vector that represents the segment AB is:
[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]
If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:
[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]
[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]
[tex]\overrightarrow{AB} = (15,5)[/tex]
But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:
[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]
[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]
[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]
The location of [tex]\vec P[/tex] is derived of this formula:
[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]
[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]
If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:
[tex]\vec P = (8,9) - (9,3)[/tex]
[tex]\vec P = (8-9,9-3)[/tex]
[tex]\vec P = (-1, 6)[/tex]
The coordinates of point P along the segment AB is (-1, 6).
Please help me find the answer ASAP
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
What are the answers for each?
Answer:
7% of 33= 2.1
2% of 640= 12.8
15% of 470=70.5
7/9 of 51= 119/3
.52 of 62= 32.24
Answer:
1) 2.31
2) 12.8
3) 72
4) 44.625
5) 32.24
Step-by-step explanation:
7% of a number is simply 0.07*the number.
7/8 is just .875*the number
Hope it helps <3
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Find the equation of the plane passing through the points
(-1,1,-4) and is perpendicular to each of the planes
-2x+y+z+2=0;x+y-3z+1=0
Extract the normal vectors from the given planes:
[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]
[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]
(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)
The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].
Enter the cross product:
[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]
or (4, 5, 3), which also works.
The given plane passes through (-1, 1, 4), so its equation is
[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]
Simplify:
[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]
[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]
[tex]\boxed{4x+5y+3z=13}[/tex]
please help i will give out brainliest
Answer:
B
Step-by-step explanation:
(a) Complete the table by substituting the values of x into y = x² - 4x
x | - 1 0 1 2 3 4 5
y | 5 0 - 3 - 4 - 3 0 5
Considering ordered pairs from the table
(0, 0 )
The only graph that passes through the origin is graph B
Graph B also goes through all the given points in the table
Solve the question given below
Answer:
x = 3.9
Step-by-step explanation:
x/1.5 = 2.6
Multiply both sides by 1.5
x/1.5 × 1.5 = 2.6 × 1.5
x = 3.9
Answer: 3.9
Step-by-step explanation:
x= 1.5 x 2.6 x= 3.9what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
someone help me asap please
Step-by-step explanation:
1, vertical- axis intercept is the water at the beginning
3, she should have included the y-intercept and x-intercept of the linear function
100 students each chose one activity. Each student chose bowling or karting or ice skating. The two-way table shows some information about the activities the students chose. One of the boys is chosen at random. What is the probability that this boy chose karting?
Answer:
[tex] \frac{13}{47} [/tex]
Step-by-step explanation:
There are 47 boys
13 picked karting
an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate, x. The coordinates is (3,6).
Answer:
The required expression is (x+2).
[tex]x'=x+2=3+2=5[/tex]
Step-by-step explanation:
The given point is (3,6).
Here,
x-coordinate = 3
y-coordinate = 6
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means
[tex]x'=x+2[/tex]
where, x' is new x-coordinate and x is initial x-coordinate.
Put x=3 in the above equation.
[tex]x'=3+2=5[/tex]
Therefore, the new x-coordinate is 5.
Answer:
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
Step-by-step explanation:
HELP?? A water tower is 52 feet tall and casts a shadow 78 feet long, while a child casts a shadow 6 feet long. How tall is the child?
Answer:
Step-by-step explanation:
take a right triangle ABC...
right angled at B...
let AB be the height of the water tank...=52feet
AC hypotanuse...
BC is the length of the shadow..=78feet
tan thete=Opp/adj=AB/BC=52/78------eq1
tan theta in both cases remain the same,
hence,
take a right triangle PQR...
right angled at Q...
let PQ be the height of the water tank...
PR hypotanuse...
QR is the length of the shadow...=6feet
tan theta=52/78 (from 1)
tan thete=Opp/adj=PQ/QR = PQ/6-----eq2
hence, from 1, 2
52/78=PQ/6....
52x 6/78=PQ
52/13=PQ
Hence,4m=PQ=height of the boy...
Thank you, Hope this helps you dear friend,,,,
The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 years?
Answer:
5th year= 9800
Step-by-step explanation:
1st year=15800
2nd=14300
3rd=12800
4th=11300
5th=9800
Im on a time limit please help i will give brainliest!
Answer:
C
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 19 and h = 16 , thus
A = 0.5 × 19 × 16 = 152 yd² → C
A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.
Answer:
80º and 100º
Step-by-step explanation:
Question 1: A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to estimate the total farm acreage of corn for the country, two plans are proposed. Plan I: a) Sample 20 farms at random. b) Estimate the mean acreage of corn per farm in a confidence interval. c) Multiply both ends of the interval by 1,000 to get an interval estimate of the total. Plan II: a) Identify the 100 corn-growing farms. b) Sample 20 corn-growing farms at random. c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval. d) Multiply both ends of the interval by 100 to get an interval estimate of the total. On the basis of the information given, which of the following is the better method for estimating the total farm acreage of corn for the county? *
Answer:
Plan II
Step-by-step explanation:
A certain county has 1,000 farms.
Corn is grown on 100 of these farms but on none of the others.
Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.
Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.
a) Identify the 100 corn-growing farms.
b) Sample 20 corn-growing farms at random.
c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.
d) Multiply both ends of the interval by 100 to get an interval estimate of the total.
Which best describes the relationship between the line that passes through the points (-9, 2) and (-5, 4) and the line that passes through
the points (-3, 4) and (1,6)?
A)parallel
B) same line
C) neither perpendicular nor parallel
D) perpendicular
Answer:
The lines are parallel to each other.
To figure this out you need to use the formula: m = y2 - y1 / x2 - x1
m represents the slope of the line.
So for the first line:
m = 4 - 2 ÷ -5 - (-9)
m = 2 / 4
Simplify: m = 1 / 2
The slope of the first line is 1 / 2.
For the second line:
m = 6 - 4 ÷ 1 - (-3)
m = 2 / 4
Simplify: m = 1 / 2
So, you can see that the slopes of both lines are the same. When the slopes are the same, that means that the lines are parallel to each other. When the coordinates are the same, that means that the lines are the same. When the slopes are flipped to each other and have are the opposite sign (positive or negative), then the lines are perpendicular.
The sum of five consecutive positive integers is 2020. Find the largest of these numbers.
Answer:
406
Step-by-step explanation:
Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)
x + (x+1) + (x+2) + (x+3) + (x+4) = 2020
5x + 10 = 2020
5x = 2020-10
5x = 2010
x = 2010÷5
x = 402
The largest of the number is = x+4
x+4 = 402 + 4 = 406
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answer:
61.5
Step-by-step explanation:
-3 (t-8)+1.5
-3 (-12-8)+1.5
-3 (-20)+1.5
60+1.5= 61.5
The value of expression will be;
⇒ - 58.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3 | t - 8 | + 1.5
And, The value of t = - 12
Now,
The expression is,
⇒ - 3 | t - 8 | + 1.5
Put t = - 12, we get;
⇒ - 3 | - 12 - 8 | + 1.5
⇒ - 3 | - 20 | + 1.5
⇒ - 3 × 20 + 1.5
⇒ - 60 + 1.5
⇒ - 58.5
Thus, The value of expression will be;
⇒ - 58.5
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Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz