Answer: C
Step-by-step explanation:
If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,
X + 8 = 0
X = 0 - 8
X = -8
If -8 is substituted into f(x), the equation will tend to zero. That is,
F( -8 ) = 0
C is therefore the correct answer.
Help please. I’m just totally confuse. You might have to zoom in to solve. Sorry in advance for the terrible quality that’s how I’m seeing it as well
Answer:
I know that (A) is correct for the fisrt one.
Step-by-step explanation:
What is the answer I really need help
Answer: 27
Step-by-step explanation:
The perimeter is the lengths of all sides of the figure added together. Since all sides are equal in this triangle, we know all sides have a length of 9. We know this because all sides have 2 little lines on them, symbolizing that they are equal.
P=9+9+9=27
What is the Measure of EAC
I THINK YOU FORGOT TO POST THE COMPLETE Q.
Help please will mark u brainliest !!!!!
Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.
Answer:
The correct answer is
[tex]y = -7x -3[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]
[tex]y=-7x-3[/tex]
Hope this helps!
- Quinn <3
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is
longer than half the circumference of the circle. Find the measure of the major
arc ABC
Answer: Major arc = ∅/360 (2πr)
Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.
Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.
If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.
Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as
60/360
This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.
Therefore you can calculate the measure of major arc ABC by applying the formula
Length of an arc = ∅/360 (2πr)
Where ∅ is the angle enclosing the arc at the center of the circle
r is the radius of the circle and
π is usually given as 3.14 (or 22/7)
Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.
And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;
Angle of major arc = 360 - angle of minor arc
The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
8 mph
Step-by-step explanation:
The lorry's shortest route:
60 miles in 1.5 hours
speed = distance/time = (60 miles)/(1.5 hours) = 40 mph
The longer route:
time = 1.5 hours
distance = 20% more than 60 miles = 1.2 * 60 miles = 72 miles
speed = distance/time = (72 miles)/(1.5 hours) = 48 mph
Difference in speeds: 48 mph - 40 mph = 8 mph
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Which is the graph of 2x - 4y > 6?
4
TY
417
41Y
N
2.
N
N
a
2
4
2
4 -2
-2
-4 -2
-2
2
-4-2
2
AN
-2
X
Answer:
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.
2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is
For x = 0, we get the y-intercept.
2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is y = -3/2 = ( 0, -3/2)
The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5
How to determine the graph?The inequality is given as:
2x - 4y > 6
Divide through by 2
x - 2y > 3
Subtract x from both sides
- 2y > -x + 3
Divide both sides by -2
y < 0.5x - 1.5
See attachment for the graph of the inequality 2x - 4y > 6
Read more about inequalities at:
https://brainly.com/question/11234618
hi can anybody help me with this
Answer:
4872 cm²
Step-by-step explanation:
12*(+9)*12*2+ 13*20+15*20+20*(5+9)= 4872 cm²
pattern with numbers
write the correct number to complete the pattern.
Answer:
295,296,297
Step-by-step explanation:
Hope it's helpful. :-)
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
Connie bought 2 1/2 liters of paint for 60$ What was the cost per liter of paint?
Answer:
$24
Step-by-step explanation:
Divide the total cost of the paint by the amount of paint bought.
$60 ÷ 2.5 = $24
I hope this helps :)
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
GO
Solve:
10
= 2
a. x = 5
B. x = 10
C. X = 20
d. x = 15
Please select the best answer from the choices provided
Answer:
the answer is C:x=20 I used a calculator
Find the area of the figure below by first finding the areas of the rectangle and triangle.
Answer:
21 units^2
Step-by-step explanation:
Dimensions of rectangle are 3 by 6 units; therefore the area is 18 units^2.
Dimensions of triangle: base is 3 and height is 2; therefore the area of this triangle is (1/2)(base)(height) = (1/2)(3)(2) = 3 units^2
The total area of this figure is (18 + 3) units^2, or 21 units^2
The Area of rectangle is the product of its width to its length.
i.e., Area of rectangle= length x width
Given:
Rectangle:
length= 6 units
width = 3 units
So, area of rectangle= l x w
= 6x 3
= 18 units²
Now, Triangle:
Base= 2 units, height = 3 units
area of triangle= 1/2 x b x h
= 1/2 x 2 x 3
= 3 units²
now, area of figure = area of rectangle + area of triangle
= 18+ 3 = 21 unit²
Learn more area of rectangle here:
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18. About 4 inches separate Oklahoma City, Oklahoma, and Dallas, Texas, on a
map. If 1 inch on the map represents 105 miles, what is the approximate distance
between Oklahoma City and Dallas?
Answer:
420 miles
Step-by-step explanation:
4*105=420 miles
for 1 inch is 105
for 4 inches=105*4=420
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $2.6 billion
what was the leading brand sales
Answer:
The answer is $520,000,000
Step-by-step explanation:
To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%
2.6, 000,000,000 * 20% (or 1/5) is 520,000,000
PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049
Answer:
C.
Step-by-step explanation:
First find the pattern. The pattern is you multiply the number before by -3.
Just start with x as the first number.
x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x
Add them all up: -14762
Now multiply by -3:
44286
The required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
For Geometric progression,
a = -3
r = 9/-3 = -3
The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286
Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
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will mark brainiest Take a look at screenshot
Answer:
y = -1x - 1
Hope this helps :)
Plz mark as brainliest!
Answer:
Hello There. The answer you mean is y = -1x -1
The blue line is the translate in the x direction of the red line by 4, and therefore has equation y = -1x - 1
Hope It Helps! :)
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
The number is even. It is nit divisible by 3. It is not divisible by 5. It is not greater than 9^2. Is it not less than 8^2. What is the nunber?
Answer:
64, 68, 74, 76
Step-by-step explanation:
Ok so in a confusing way, the last two statements are telling you that the number is greater than 8^2, which is 64, and the number is less that 9^2, which is 81.
The number has to be even, so I will list the even numbers between those two numbers:
64, 66, 68, 70, 72, 74, 76, 78, 80.
It cannot be divisible by 3, which rules out 66, 72, 78
64, 68, 70, 74, 76, 80 remains
It cannot be divisible by 5, which rules out 70 and 80
64, 68, 74, 76 are the possible answers,
*Note: I believe I did this right, but because of the tricky wording of the last two statements, 64 may not be included.
a standard size golf ball has a diameter of 1.680 inches. The material used to make the golf balls weighs 0.6523 ounces per cubic inch. What is the weight, to the nearest hundredth of an ounce of one golf ball
Answer:
Total Weight of one ball = 1.62 ounces
Step-by-step explanation:
The data given for a standard gold ball:
Diameter = 1.680 inches
Weight per inch³ = 0.6523 ounces
First find the radius:
Radius = Diameter/2 = 1.680/2 = 0.84 inches
Find Volume of the gold ball:
Volume = (4/3) π r³
Volume = (4/3)π (0.84)³
Volume = 2.48 inch³
Find the Total Weight:
Total Weight of one ball = Volume · Weight per inch³
Total Weight of one ball = (2.48 inch³) · (0.6523 ounces/inch³)
Total Weight of one ball = 1.617704 ounces
Total Weight of one ball = 1.62 ounces (Rounded off)
The Total Weight of one ball is 1.62 ounces
Calculation of the total weight:Since
a standard size golf ball has a diameter of 1.680 inches. The material used to make the golf balls weighs 0.6523 ounces per cubic inch.
So here the radius should be half of diameter i.e. 0.84 inches
Now
The Volume of the gold ball:
Volume
[tex]= (4/3) \pi r^3\\\\ = (4/3)\pi (0.84)^3\\\\ = 2.48 inch^3[/tex]
Now the Total Weight is
Total Weight of one ball = Volume · Weight per inch³
= (2.48 inch³) · (0.6523 ounces/inch³)
= 1.617704 ounces
= 1.62 ounces
hence, The Total Weight of one ball is 1.62 ounces
Learn more about volume here: https://brainly.com/question/16017437
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
1. Compute (5+3i)(5-3i)
express your answer in the form of a+bi, where a and b are real numbers.
2. Express (2+i)/(4+i) in the form of a+bi, where a and b are real numbers.
3. Find all complex number z satisfying the equation (z+1)/(z-1)=i
THANKS SO MUCH FOR YOUR HELP!!!
Answer:
1) 34 + 0i
2) 9/17 + (2/12)i
3) z = -i
Step-by-step explanation:
Part 1:(5 + 3i)(5 - 3i) = 25 - 15i + 15i - 9i²
25 - 15i + 15i - 9i² = 25 - 9i²
25 - 9i² = 25 - 9√(-1)²
25 - 9√(-1)² = 25 - 9(-1)
25 - 9(-1) = 25 + 9
25 + 9 = 34
34 = 34 + 0i
Part 2:(2 + i) / (4 + i)
[tex]\frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}[/tex]
a=2, b= 1 , c=4 , d =1
[tex]\frac{\left(2\cdot \:4+1\cdot \:1\right)+\left(1\cdot \:4-2\cdot \:1\right)i}{4^2+1^2}[/tex]
[tex]\frac{9}{17}+\frac{2}{17}i[/tex]
Part 3:[tex]\frac{z+1}{z-1}=i\\[/tex]Solve like part 2:
z = -i
The graph of y=-3x+ 2 is:
Answer:
A
Step-by-step explanation:
This is a linear function whose slope is -3 and whose y-intercept is (0, 2). Answer A is correct.
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Khan academy question
Answer:
(2,5)
Step-by-step explanation:
There you go.........
Answer:
[tex](2, 5)[/tex]
Step-by-step explanation:
[tex]y=2x+1[/tex]
[tex]x-y=-3[/tex]
[tex]x-(2x+1)=-3[/tex]
[tex]x-2x-1=-3[/tex]
[tex]-x-1=-3[/tex]
[tex]-x=-3+1[/tex]
[tex]-x=-2[/tex]
[tex]x=2[/tex]
[tex]y=2x+1[/tex]
[tex]y=2(2)+1[/tex]
[tex]y=4+1[/tex]
[tex]y=5[/tex]