Answer:
(5, 3 )
Step-by-step explanation:
Given the 2 equations
x + y = 8 → (1)
x - y = 2 → (2)
Adding the 2 equations term by term will eliminate the y- term
2x + 0 = 10
2x = 10 ( divide both sides by 2 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
5 + y = 8 ( subtract 5 from both sides )
y = 3
solution is (5, 3 )
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squared, plus, 32 has a known factor of (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
Answer:
(x-4)(x-4)(x+2)
Step-by-step explanation:
Given p(x) = x^3-6x^2+32 when it is divided by x - 4, the quotient gives
x^2-2x-8
Q(x) = P(x)/d(x)
x^3-6x^2+32/x- 4 = x^2-2x-8
Factorizing the quotient
x^2-2x-8
x^2-4x+2x-8
x(x-4)+2(x-4)
(x-4)(x+2)
Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)
Answer:
(x-4)(x-4)(x+2)
Step-by-step explanation:
The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?
Answer: 7/8 of a mile
What is the unit rate for the ratio 100 points/ 4 games?
Answer:
25
Step-by-step explanation:
100 divided by 4 = 25
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Answer:
27 and 50
Step-by-step explanation:
they are both greater than the original side length of 20
This is from my algebra class, can anyone can answer this?
Answer:
y = (x + 1)^2 + 2
Step-by-step explanation:
The graph is 2 units up and 1 unit to the left
a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right
The price of a bowl of plain pho is 6$. With 4 ingredients added, the total is 8$. Find the price of each ingredient
Answer:
0.5
Step-by-step explanation:
6+ 4x = 8
or, 4x = 8-6
or, 4x = 2
x = 0.5
What is the distance between (5, -6) and (2, -6) on a coordinate plane?
Answer:
3 units is the answer..
hope it helps
in the equation shown, what is the value of x?
Answer:
5^8/5^x=5^6 the asnwer is 2
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
I need help with letter B, find the area
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
Please help me I need help now please
Answer:
[tex]the \: third \: answer \: is \: correct[/tex]
Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
Kay wants to increase the number 9,653 by multiplying. By which number can she multiply to get a product that is greater than 9,6537 (please show step by step explanation)
A: 4/5
B: 2/2
C: 9/4
D: 7/8
Answer:
Option C.
Step-by-step explanation:
Kay has the number 9.653
We want to find a number such that if we multiply this one by that number, the product will be larger than 9.6537
First, you need to notice that 9.6537 > 9.653
Now you need to remember that if we have a number A and a number B.
A*B > A if B > 1
A*B = A if B = 1
A*B < A if 0 < B < 1
Then we need to find an option with a number larger than 1.
Also, a rational number a/b is larger than 1 only if a > b
The only option which has an option larger than 1 is C.
C: 9/4 = 8/4 + 1/4 = 2 + 1/4
Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
centroid of triangle with vertices (0,0) ,(3,0) & (0,-3) is……. [ ]
a) (1,1) b) (1,-1) c) (-1,1) d) (0,0)
Answer:
b
Step-by-step explanation:
centroid
x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1
y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1
centroid =(1,-1)
Di are you alright? I noticed the fact that you aren't online from 7th April or so-
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. Do not include units in your answer (degrees, degree symbols, etc) (FR) *
Answer:
60
Step-by-step explanation:
Central angle = intercepted arc
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
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HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!
the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3
slant height is
[tex]\sqrt{r^2+h^2}[/tex]
h is 4.7 and r is 3
[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]
slant height is 5.58427
lateral surface area
[tex]\pi r\sqrt{h^2+r^2}[/tex]
[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]
lateral surface area is 52.63053
total surface area
[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]
[tex]80.90486[/tex]
total surface area is 80.90486
The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
In the given question radius of the cone is (6/2) km = 3 km.
The slant height of the cone is 5.6 km.
The total surface area of the cone is = π×3(3 + 5.6) km.
= 3π(16.8) km.
= 50.4π km.
lateral surface area is = π×3×5.6 km.
= 16.8π km.
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Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
The graph represents the piecewise function. I need to find the function.
Answer:
i am sorry i can not see it
Step-by-step explanation:
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
identify the distance between the points (2,4,12) and (7,4,0), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary. PLEASE HELP ASAP
Answer:
,,,,,,,,,,,,,,,,,,,,,,,,,
The distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)
What is 3-dimensional geometry?3D geometry refers to the mathematics of shapes in three-dimensional space and consists of 3 coordinates. These 3 coordinates are x-coordinate, y-coordinate and z-coordinate. In three-dimensional space, there is a requirement of three parameters for the purpose of finding the exact location of a point.
Given are two points in 3-dimension, (2,4,12) and (7,4,0), we need to find the distance between them, and the midpoint of the segment for which these are the endpoints,
Distance between two points in 3d is given by =
D = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here, [tex](x_1, y_1, z_1)[/tex] = (2,4,12)
[tex](x_2, y_2, z_2)[/tex] = (7,4,0)
Therefore,
D = [tex]\sqrt{(7-2)^2+(4-4)^2+(0-12)^2}[/tex]
D = [tex]\sqrt{5^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13
Therefore, the distance between the given points is 13 units.
Since, the midpoint divide the segment in 1:1 ratio,
Therefore,
(x, y, z) = [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2},\frac{z_2+z_1}{2} )[/tex]
(x, y, z) = [tex](\frac{7+2}{2}, \frac{4+4}{2},\frac{0+12}{2} )[/tex]
(x, y, z) = (9/2, 8/2, 12/2)
(x, y, z) = (4.5, 4, 6)
Hence, the distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)
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20/22 is the tangent value of which reference angle
Answer:
X
Step-by-step explanation:
Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side
So, for 20/22; 20
is the opposite while 22 is the adjacent
The opposite side simply refers to the side that faces the given angle
We have the opposite side here as facing the angle X and that makes X the correct answer
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?
Find the equation of the line of best fit shown below.
Answer:
it’s a
Step-by-step explanation:
just do rise over run count how many it is going up from your y intercept to a point on the graph then count to the right from your y intercept to get your answer.