Given:
The function is
[tex]f(x)=(x+7)(x+11)[/tex]
To find:
The shape and direction of the given function.
Solution:
We have,
[tex]f(x)=(x+7)(x+11)[/tex]
It can be written as
[tex]f(x)=x^2+11x+7x+77[/tex]
[tex]f(x)=x^2+18x+77[/tex]
It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.
The leading coefficient is positive so the parabola opens upward.
Therefore, the given function is a vertical parabola that opens upward.
2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.
Answer:
[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]
Step-by-step explanation:
We can find the equation using the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where (x₁, y₁) is the point and m is the slope.
We already know the point is (-6,1). We must find the slope.
We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3
Next, define values for the variables.
[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]
Substitute the values into the formula.
[tex]y-1= - \frac{4}{3} (x--6)[/tex]
[tex]y-1= - \frac{4}{3} (x+6)[/tex]
Now put the equation into the form y=mx+b. First, distribute the -4/3 .
[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]
[tex]y-1= - \frac{4}{3} x - 8[/tex]
Add 1 to both sides to isolate y.
[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]
[tex]y= - \frac{4}{3} x -7[/tex]
The equation of the line is y=-4/3x -7
The weights of gala apples follow a Normal distribution with a mean of 140 grams and a standard deviation of 12 grams. The owner of an apple orchard randomly selects 5 apples from the harvest and records the mean weight. What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?
Answer:
The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?
By the Central Limit Theorem, the shape is approximately normal.
Mean is [tex]\mu = 140[/tex]
Standard deviation is [tex]s = \frac{12}{\sqrt{5}} = 5.37[/tex]
The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.
Answer this page: BIG REWARD GRANTED
Answer:
I don't even get what you want us to do
Step-by-step explanation:
The receipt below shows the money, in dollars, spent by a customer at the good groceries stores
A team manager buys a team jacket and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $10.70. The team manager spends a total of $293 for the team jackets and team cups. Enter an equation that models the situation with u, the cost of one team jacket.
Answer:
293/10=u
thats the equations
PLEASE HELP
what is 74 × 12
please show your work
(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)
find the value of find the value of a -7 when a equals 19
Answer:
12
Step-by-step explanation:
You have to substitute a by 17 and then just subtract.
On Monday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
136 hamburgers
Step-by-step explanation:
Create an equation where x is the number of hamburgers sold.
The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.
3x + x = 544
Solve for x:
4x = 544
x = 136
So, 136 hamburgers were sold on Monday
WILL GIVE BRAINLESS
what is the missing number of 4:9=36:
Answer:
81
Step-by-step explanation:
4 : 9
36 : ?
to get from 4 to 36, you multiply 9
9 x 9 = 81
A triangular prism has a volume of 400 cubic inches. The area of base is 25 square inches What is the height of the prism?
What is the percent change of 82 to 67
Answer:
-18.3
Step-by-step explanation:
Okay, so.. y'know those angle thingys? Like.. how they have a circle in the corner of let's say a triangle or a little square in the corner of it? What are those called and what's their degrees?
Answer:
im pretty sure it's called a right angle or right angle quadrant
Step-by-step explanation:
if it's a square in a corner of a triangle then it is a right angle and the degrees would be 90
correct me if i'm wrong
Hope this helps! :)
so it says to show your work .
I don't know how to do this
Answer:
Did not let me say app names lol
Answer:
i think its this one (x−30)(x+3)
4 163-2 492
8. Find the product of:
a) 123 x 34
Answer:
4182
Step-by-step explanation:
Mr. Ramone brought home 1/2 of an apple pie from work. He wants to share the apple pie equally among six friends. What is the amount of pie that each six people will receive.
Answer:
0.08
Step-by-step explanation:
The dimensions of a rectangular crate are 6 feet, 8 feet, and 10 feet. What is the
volume?
Answer:
480
Step-by-step explanation:
The formula is L*W*H
6*8*10=480
The drop down menu suggestions is true or false I need someone to help me plz
Answer:
Answer true or false and see what happens
Step-by-step explanation:
Convert:
5 meters 10 centimeters
centimeters
Blueberries at a farmers' market
cost $18 for 6 pounds. Jerome pays
$24.75 for blueberries to make pies.
How many pounds of blueberries did
he buy?
pounds
Answer:
8.25 pounds
Step-by-step explanation:
Its $3 per pound, so 24.75/3= 8.25
Answer: 8.25 lbs.
Steps:
18 / 6 = 3 dollars per pound
24.75 / 3 = 8.25
find the value for 0 for each. sin(55)=cos(0)
I NEED ASAP PLEASE
Answer:
sorry need point
Step-by-step explanation:
Answer:
sin (55) = cos (35)
sin (62) = cos (28)
Hope that this could help!! (▰˘◡˘▰)
what is of the area of circle with a circumference of 12.56 feet?
Answer:
π= 25.12 , r=6.28
area of a circle = πr²
= 25.12×6.28²
= 25.12×39.4
= 990.6cm²
Step-by-step explanation:
circumference of a circle is 2π
radius of a circle is 2π/4
Find the area of the kite.
Answer:
Step-by-step explanation:
width of kite=2[√(17²-15²)]=2√(289-225)=2√64=2×8=16
area of kite=(22×16)/2=176 sq. units
Pls help will mark a brainliest
Answer:
Where is your question
Step-by-step explanation:
Lincoln went to the grocery store and purchased cans of soup and
frozen dinners. Each can of soup has 250 mg of sodium and each
frozen dinner has 550 mg of sodium. Lincoln purchased a total of 13
cans of soup and frozen dinners which collectively contain 4450 mg of
sodium. Determine the number of cans of soup purchased and the
number of frozen dinners purchased.
Answer:
9 cans of soup and 4 frozen dinners
Step-by-step explanation:
The sun of the bases of a parallel trapezoid is 38.5 feet. What would be the height of the trapezoid if the area is 269.5 square feet?
Answer:
14 or the other possible answer could be 7 if you have any of those answers I hope I helped i'm really sorry if you were waiting also good spring break. :)
Step-by-step explanation:
Will mark first and correct answer brainliest:)
Answer:
x=19
Step-by-step explanation:
add together (8x-7) and (x+16) and set them equal to 180 because they are supplementary
and solve for x using your new equation
Erin Thompson agreed to purchase a house for 97,900
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
A ball is tossed at a hole in a board. The ball goes into the hole 15 times and misses the hole 52 times.
Based on this experiment, what is the probability that the ball will go into the hole when tossed?
Enter your answer in the box as a percent rounded to the nearest whole number.
Probability (Ball goes into hole) = 0.22388 or 22.388%
Step-by-step explanation:
Given:
Ball goes into hole = 15 times
Ball miss the hole = 52 times
Find:
Probability (Ball goes into hole)
Computation:
Total number of tries = 15 + 52
Total number of tries = 67
Probability (Ball goes into hole) = 15 / 67
Probability (Ball goes into hole) = 0.22388 or 22.388%
DE is a midsegment of AABC. Find the value of x.
X
E
B
39
O A. 39
O B. 15
O C. 19.5
O D. 13
At what point do the graphs of the lines y=9x+2 and y=-3+12 intersect?
Answer:
(0.8333, 9.5)
Step-by-step explanation:
set them equal
9x+2=-3x+12
12x=10
x=0.8333
plug x into the equation
9(0.8333)+2 = 9.5
-3(0.8333)+12 = 9.5
Answer:
(5/3,17)
Step-by-step explanation:
If your second equation is y=-3x+12 your answer will be (5/3,17)