Answer:
Step-by-step explanation:
The zeros of the function can be found by factoring. Since this has already been started with completing the square, we will just pick up from where it was left and finish factoring. Set the quadratic equal to 0 first.
[tex](x-8)^2-9=0[/tex] then move over the 9:
[tex](x-8)^2=9[/tex] "undo" the squaring by square rooting both sides to get
x - 8 = ±3. And then add over the 8 to get the solutions
x = 8 + 3 and x = 8 - 3. The solutions, then, are
x = 5 and x = 11
Math perimeter question show work thanks
Answer:
42
Step-by-step explanation:
there are six sides, perimeter is just all the sides added together.
7+7+7+7+7+7=42
or 7*6=42
pls mark brainliest
Answer:
[tex]42\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. The polygon in the figure is a hexagon (polygon with six sides) and it is implied that all sides are equal. If each of the sides are 7 cm long, the perimeter must be [tex]7+7+7+7+7+7=7\cdot 6=\boxed{42\:\mathrm{cm}}[/tex].
*It's good to note that the units for perimeter is the same unit as the sides are given as, because we're only adding the sides of the polygon.
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an alloy containing 40% silver. Of the answers listed below, the one closest to the correct value of x is
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ [tex]x+y=60[/tex]...(equation 1)
or,
⇒ [tex]\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60[/tex]
[tex]55x+30y=2400[/tex]...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ [tex]55x+55y=3300[/tex]...(equation 3)
⇒ [tex]55x+30y=2400[/tex]...(equation 4)
From equation 3 and 4, we get
⇒ [tex]25y=900[/tex]
[tex]y=\frac{900}{25}[/tex]
[tex]=36[/tex]
By putting the values of "y" in equation 1, we get
⇒ [tex]x=60-36[/tex]
[tex]=24[/tex]
Thus the value of x be "24 pounds".
The attendances y for two movies can be modeled by the following equations, where x is the number of days since the movies opened.
y=-x^2+35x+100 Movie A
y=-5x+275 Movie B
When is the attendance for each movie the same?
After ___ days and after ___ days.
Answer:
After
days and after
days.
By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.
When is the attendance for each movie the same?
This will happen for the values of x such that:
y = -x^2 +35x + 100 = y = -5x+275
There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.
We can write the equation as:
-x^2 +35x + 100 = -5x+275
If we simplify this, we get:
-x^2 + 35x + 100 + 5x - 275 = 0
-x^2 + 40x - 175 = 0
This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:
[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]
So the two solutions are:
x = (-40 + 30)/-2 = 5
x = (-40 - 30)/-2 = 35
So, the attendance will be the same after 5 days and after 35 days.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
two features of world health organization
Answer:
I have five features so choose which one u like the best!
Step-by-step explanation:
1. Providing Leadership on Global Health
WHO is not the only major player in global health; there are several organizations who share the spotlight. But where this organization differs from others is that it continuously provides leadership in all areas of global health. This organization works with experts, volunteers, politicians, and governments to ensure that there is a set standard for global health and that it demonstrates this standard at all times. And because WHO is one of the most visible organizations, it is critical that they showcase leadership at all times, something it has done well since its inception.
2. Shaping the Research Agenda
Research is the main function of WHO; it is through research of disease and health policy that practices can be implemented on a global scale to save as many human lives as possible. Research is constantly changing and evolving, and WHO sees it as a priority to ensure that their own research practices are always beneficial to public health. The organization also distributes life-saving information all over the world, enabling the information they receive from research to make it to the communities that are affected the most by poor health conditions. 3. Setting the Standards for Global Health
One of the functions of WHO is to set international standards for the monitoring and implementation of global health policy and practices. While it continues to work hand-in-hand with governments and other non-governmental organization, it is this organization to which all other non-profit organizations look up to when discussing global health policy, norms, and practices. WHO does this by annually reviewing their own standards, taking constructive criticism from the global health community, and updating its standards as it sees fit.
4. Advocating for Evidence-Based and Ethical Policy
WHO is not the only organization that works to promote global health. It is, however, the one that takes the most responsibility for building a strong foundation on evidence-based science and ethical policies. Because the organization works all over the world, it is imperative that it takes the proper steps to ensure that their work is backed by sound science, ethical behaviors on their part, and demonstrates a high ethical standard for their international partners. This has been a function that WHO has been working tirelessly to improve as it is clear that the organization cannot act alone in the global health field; still, it remains a beacon of moral standards by upstanding global citizens.
5. Monitoring and Assessing Health Trends and Concerns
One of the main functions for the WHO continues to be tracking health trends across the globe. With malnutrition and preventable diseases supporting high mortality rates in underdeveloped countries, it is a mission of this organization to assess trends in order to ensure that its resources are going to the communities that need the most help. The Twelfth Programme of Work describes this in great detail and discusses not only child and maternal mortality rates, but also the spread of disease in every region, the expanding number of society that is aged 55 and over, and sanitation issues that contribute to the spread of disease.
WHO continues to be a symbol of integrity, rationality, and hope for the communities around the world that face global health crises. It is no wonder that it has an amazing reputation for providing excellent service for global communities while being an example for other organizations all over the world. Now that five important functions of the World Health Organization have been covered, consider learning more about current projects the organization is overseeing to see if help is needed. Hope this helps! :P
Simplify:
6(6k + 7) – 7k
A. -k + 7
B. 6k +7
C. 29k + 42
D. 43k + 42
Answer:
C
Step-by-step explanation:
6(6k + 7) - 7k is equal to:
6 * 6k + 6 * 7 - 7k, which is 36k + 42 - 7k.
Combine like terms (36k and -7k), and you get:
29k + 42.
LOS ENTEROS POSITIVOS SON MAYORES A LA IZQUIERDA Y LOS ENTEROS NEGATIVOS SON CADA VEZ MENORES A LA DERECHA verdadero o falso
Answer:
Es falso.
Step-by-step explanation:
Es falso.
En una recta numérica tenemos los enteros positivos ubicados a la derecha del 0 (punto central) y los enteros negativos ubicados a la izquierda del cero.
|__|__|__|__|__|__|__|__|
-4 -3 -2 -1 0 1 2 3 4
En la recta numérica los números son cada vez mayores hacia la derecha y cada vez menores hacia la izquierda, por lo que cada número será mayor que el número ubicado a su izquierda y menor que el número ubicado a su derecha. Por ejemplo:
- El 3 es mayor que el 2 y menor que el 4
- El -2 es mayor que -3 y menor que -1
Entonces, los enteros positivos y los enteros negativos son mayores a la derecha. Por lo tanto el enunciado es falso.
Espero que te sea de utilidad!
select all the number sets of numbers that are possible values for x in the inequality x>-6
Answer:
that would be everything greater than -6 so -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20...1000000...+∞
Step-by-step explanation:
help pleaseee due tonight :(
Answer:
x=3
Step-by-step explanation:
substitute into the equation
Answer:
x = 3
Step-by-step explanation:
x = -b/2a for a = 1 & b = -6
x = 6/2
x = 3
Need help with this one NO LINKS!!!
Special Right Triangles (Radical Answers)
Answer:
x = 5*sqrt(2)
Step-by-step explanation:
Equation
Use the Pythagorean Theorem to get the value of x. If the triangle is isosceles, it means that both lets are equal to x.
x^2 + x^2 = 10^2
2x^2 = 100
x^2 = 50
x^2 = 5 * 5 * 2
sqrt(x^2) = sqrt(5*5*2)
x = 5*sqrt(2)
There is no denominator to rationalize. The answer is given as a irrational root. The only other way to present it is in an approximate decimal form.
Answer:
x = [tex]5\sqrt{2}[/tex] (or [tex]\frac{5\sqrt{2}}{1}[/tex] if it has to have a rational denominator)
Step-by-step explanation:
We know;
1.) This triangle is isosceles (two of the sides are congruent).
2.) Hypotenuse is the biggest side in a right triangle. Therefore, that un-labeled side can't be 10, it has to be x as well.
So;
A² + B² = C²
x² + x² = 10²
2x² = 100
x² = 100/2
x² = 50
x = [tex]\sqrt{50}[/tex]
Simplifying this would result in;
[tex]\sqrt{50}[/tex] = [tex]\sqrt{25} * \sqrt{2}[/tex]
[tex]\sqrt{50}[/tex] = [tex]5\sqrt{2}[/tex] (or [tex]\frac{5\sqrt{2}}{1}[/tex] if it has to have a rational denominator)
Hope this helps!
6. What is the length of the hypotenuse of the triangle when x = 3
Round your answer to the nearest tenth.
Answer:
17.1
Step-by-step explanation:
Substitute 3 in place of x first, find the last side of the triangle using the Pythagorean theorem.
2x = 2*3 = 6
5x+1 = 5*3+1 = 16
[tex]a^{2} +b^{2} =c^{2} \\\\6^{2} +16^{2} =c^{2}\\17.1 = c[/tex]
use the graph to identify the zeros.
Answer:
[tex]root = 3[/tex]
Step-by-step explanation:
A zero or a root is determined at the point where the curve cuts or meets the x-axis or horizontal axis.
Please help me with this problem
Answer:
the two options that are equivalent would be the first option and the fourth option. (2x . 2y = 4xy) (5xyz = 5 . x . y . z)
Step-by-step explanation:
A nursery plants a new tree and attaches a guy wire to help support the
tree while its roots take hold. An eight foot wire is attached to the tree
and to a stake in the ground. From the stake in the ground the angle of
elevation of the connection with the tree is 42°. Find to the nearest tenth
of a foot, the height of the connection point on the tree.
Answer:
5.4'
Step-by-step explanation:
See diagram attached.
The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.
Hence the height is the length of the hypotenuse multiplied by sin(42°)
H = 8sin(42°) = 8 *0.6691 = 5.353'
what is the value of (-5+5i)+ (4-4i)?
Answer:
Step-by-step explanation:
(-5+5i)+(4-4i)
=-5+5i+4-4i
=-1+i
For this season in baseball, Joseph hit approximately 2 out of every 5 at bats. If he was up at bat 1,000 times this season, estimate the number of hits he had.
Answer:
I estimate he hit 400 bats.
Step-by-step explanation:
I am going to set up a ratio to solve.
Joseph hits about 2 out of every 5 bats, and we want to find out the number of hits we had if he was up to bat 1,000 times.
[tex]\frac{2}{5} = \frac{x}{1000}[/tex]
Cross multiply to solve.
2(1000) = 5(x)
2000 = 5x
Divide by 5 on both sides.
X = 400
I estimate he hit 400 bats.
Two pound bags of candy are being used to fill containers that hold 1 1/2 pounds each. How many containers can be filled by each two pound bag of candy?
Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold [tex]1\frac{1}{2}[/tex] Pound Each .
Now There are 4 Container of Capacity [tex]1\frac{1}{2}[/tex] Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )
True or False Variation provides information about how much the data varies within the sample.
Answer:
True
Step-by-step explanation:
The variance of data measures how much the data varies.
your awnser would be true.
14 increased by twice a number
Answer:
2x+14
Step-by-step explanation:
x is the number
Answer:
14+2 times n
Step-by-step explanation:
you dont need n you can use any variable 14 increased increased means plus two times a numer a number means variable 2 times mean you multiply it by the number
Mr. Livingston drove 375 miles using g gallons of gas. Write an
expression to find the number of miles he drove on average
per gallon of gas.
Answer:
sdf ss shesty summer
Step-by-step explanation:
sheisty summer
I need help! Find AB
Answer:
[tex]AB+27/2=16[/tex]
[tex]AB=2(16)-27[/tex]
[tex]AB=5[/tex]
your answer is C) 5
----------------------------
hope it helps...
have a great day!!
Suppose that an individual has a body fat percentage of 12.1% and weighs 133 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
1099.2 pounds
Step-by-step explanation:
Given data
Weight= 133 pounds
Percentage of far= 12.1%
Let the total fat be x
So
12.1/100*x= 133
0.121*x=133
x= 133/0.121
x= 1099.1735 pounds
x= 1099.2 pounds
Tell us wether the line or segment is best described as a radius, chord, diameter, secant, or a tangent of 0O.
Answer:
AB - secant
DB - diameter
AB - chord
OB - radius
BC - tangent
(In the order they are in the picture)
Step-by-step explanation:
AB - The line goes through the circle and does not go through the center. This fits the definition of a secant, so line AB is a secant.
DB - Segment DB goes through the center and has endpoints on the circle. This fits the definition of a diameter, so DB is a diameter.
AB - Segment AB has endpoints on the circle and does not go through the center. This fits the definition of a chord, so segment AB is a chord.
OB - Segment OB is basically from the center to a point on the circle. This fits the definition of a radius, so segment OB is a radius.
BC - Line BC intersects the circle in only one point and does not go through it. This fits the definition of a tangent, so line BC is a tangent.
I think of a number, I subtract 10 and add 2 . My answer is 20, What was my number
Answer:
x=28Step-by-step explanation:
x-10+2=20 x-8=20 x=20+8 x=28. this is my answeralegebraic expression of x and 2 is
Answer:
x+2
Step-by-step explanation:
x and 2
And means add
x+2
Solve for x. Round to the nearest tenth, if necessary.
Answer: [tex]33.2[/tex]
Step-by-step explanation:
Given
CE=85
[tex]\angle C=67^{\circ}[/tex]
In [tex]\triangle CDE[/tex], using trigonometry
[tex]\Rightarrow \cos 67^{\circ}=\dfrac{CD}{CE}\\\\\Rightarrow CD=CE\cos 67^{\circ}\\\\\Rightarrow CD=85\times \cos 67^{\circ}\\\\\Rightarrow CD=33.2[/tex]
Given:
A figure of a right angle triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given figure,
[tex]\cos C =\dfrac{CD}{CE}[/tex]
[tex]\cos 67^\circ =\dfrac{x}{85}[/tex]
[tex]0.39073\times 85=x[/tex]
[tex]33.21205=x[/tex]
Round to the nearest tenth.
[tex]x\approx 33.2[/tex]
Therefore, the measure of x is 33.2 units.
Find the sum of the first 7 terms of the following series, to the nearest integer. 125,50,20,...
Answer:208
Step-by-step explanation:
Bob can row 5 mph In still water. He rows directly across a river flowing at 6 mph. Using vectors, find his resultant
speed.
a. 7.81 mph
b. 3.32 mph
c. 11.00 mph
d. 7.14 mph
Answer:
7.81mph
Step-by-step explanation:
Using the pythagoras theorem;
resultant r is expressed as;
r² = 5² + 6²
r² = 25 + 36
r² = 61
r =√61
r = 7.81mph
Hence the resultant speed is 7.81mph
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU
Answer:
63 were sold
Step-by-step explanation:
Multiply the total number of new houses by the fraction that were sold
81 * 7/9
Rewriting
81 /9 * 7
9 * 7
63
Answer:
63 new house have been sold this year.
Step-by-step explanation:
New houses have been sold this year is given by
= Total no. of new houses × fraction that were sold.➛ 81 × 7/9
➛ 9 × 7 .. ( 81 / 9 = 9 )
➛ 63
Select the correct answer.
Which statement is true?
Answer:
third option is the correct
Step-by-step explanation:
A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like
f (x) = x3, f (x) = x5, f (x) = x7, ... are odd functions.Answer:
3rd option!
Step-by-step explanation:
took the test :)