Answer:
Vertex at (1,-9)
Step-by-step explanation:
Expand the equation by using foil method.
You should get X^2+2x-4x-8
And then add the like terms.
X^2-2x-8
And use this formula to find the vertex.
X=b/2a
plug in the values
X=-2/2(1)
you should get x=1
Thats the one value.
For another one you have to plug in you X= (value which is 1) in the f(x) which now becomes f(1)
the answer is f(1)=-9
Write the ratio: 0.28 to 0.84 as a fraction in lowest terms.
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 20% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events.
a. All five qualify for the favorable rate
b. At least four qualify for the favorable rates
Answer: a. 0.00032 B. 0.00672
Step-by-step explanation:
Given: Proportion of island residents of a country have reduced their electricity usage (p) = 20%= 0.20
Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution
Let X be a binomial variable that represents the number of successes .
Binomial distribution formula:
[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex], n= sample size.
a.
[tex]P(X=5) = ^5C_5(0.20)^5(1-0.20)^{5-5}=(1)(0.20)^5(1)\\\\=0.00032[/tex]
b. [tex]P(X\geq4)=P(4)+P(5)[/tex]
[tex]^5C_4(0.20)^4(1-0.20)^{5-4}+0.00032\\\\=(5)(0.20)^4(0.80)+0.00032\\\\=0.0064+0.00032\\\\=0.00672[/tex]
The Cedarburg High School softball coach is purchasing equipment for her team. She has a
budget of at most $590 to purchase bats and softballs. A case of softballs has a price of $42,
and a bat has a price of $15.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x= the number of cases of softballs
y = the number of bats
42x + 15y > 590
42x + 15y < 590
42x + 15y 3 590
42x + 15y 590
Answer:
B.42x + 15y < 590
Step-by-step explanation:
I’m like really bad at math so can someone please help me pleaseee
Answer:
The biggest differentiating factor between a function and NOT a function
is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output
A relation which is not a function will have 2 or more outputs for a single input
So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function
I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled
x y
1 4
3 7
5 9
1 2
which equation represents the graphed line??? 20POINTS!!!!!!!
Answer:
B. y-1 = -2(x-3)
I think because the line met there
The dosage of cough medicine for a child 4 to 6 is 1/2 every 4 hours. If a child receives 5 doses of medication over 2 day, how many teaspoons has the child receives
- - - - - - - - - - - - - - - -
There is some unnecessary information in the problem, first, it should be removed.
"The dosage of cough medicine for a child 4 to 6..."
"2 days"
Listing the age and days don't matter here, it's the rest of the problem that matters!
- - - - - - - - - - - - - - - -
"1/2(a teaspoon) every 4 hours," This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.
1/2 x 5 = 2 1/2 (teaspoons)
- - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
Solve the inequality and graph its solution.
|n| > 7
Can you please help me?
9514 1404 393
Answer:
32
Step-by-step explanation:
Use the formula.
[tex]a_2=a_1\times4=2\times4=8\\\\a_3=a_2\times4=8\times4\\\\\boxed{a_3=32}[/tex]
Solve |y + 2| > 6
thanks
Answer:
[tex]\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}[/tex]
Step-by-step explanation:
[tex]|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)[/tex]
Need help quick!!
WILL GIVE BRAINLIEST
Answer:
3 and 4 x=25, y=29
Step-by-step explanation:
If you need a step by step explanation, I will edit this later.
ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4
A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat?
Step-by-step explanation:
49,442-46,000=3,442
Find f '(x) for f of x equals the square root of the quantity sine of 4 times x
Answer:
I'm not exactly sure, sorry.
Step-by-step explanation:
[tex]\sqrt{x} sin(4)*x[/tex]
square root of sin(4) times x
The goal of this equation is to find an x value that will make both sides equal.
I probably shouldn't answer this question since I can't really find a solution to it, but I don't really think its solvable.
Which value of x makes this equation true?
HELPPP
Answer:
x=-2
Step-by-step explanation:
First you remove the parenthesis by distributing.
Second you collect like terms
Third move the terms to where they can be added
Fourth calculate
Fifth divide
Then boom answer (you got helped by an 8th grader)
Pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5.25 inches long. What is the circumference of the clock?
Answer:
10.5[tex]\pi[/tex] Inches
Step-by-step explanation:
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex]5.25
C=10.5[tex]\pi[/tex]
helppppppppppppppppppppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20
Find the linear function given h(4)=-13 h(-2)=17 find h(1)
Answer:
the linear function: y=-5x + 7
h(1)=2
Staples sells boxes of pens ($25) and rubber bands ($5). Leona ordered a total of 20 cartons for $360. How many boxes of each did
Leona order? Hint. Let P= Pens.
Answer:
Step-by-step explanation:
I dont fully know if i am correct but i think its this:
p + r = 22
9p + 6r = 180
p = 22 - r
9(22 - r) + 6r = 180
198 - 9r + 6r = 180
-3r = -18
r = 6
p = 22 - 6
p = 16
What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.
Answer: (2/5) x (3/2) x .5 = 3/10 or .3
Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.
solve for X (step by step please)
3 (x - 2) = 4x + 2
[?]x - [ ] = 4x + 2
The grid represents all of the following decimal numbers except
0.300
0.3
0.30
0.030
Answer:
0.030
Step-by-step explanation:
0.030 is 3/100
what is show above is 3/10 and 0.300, 0.3, 0.30 are all equal to 3/10
t - 2(3 – 2t) = 2t + 9
Answer:
t=-1
Step-by-step explanation:
t - 2(3 - 2t) = 2t - 9
t - 6 + 4t = 2t - 9
5t - 6 = 2t - 9
5t - 2t = -9 + 6
3t = -3
t= -1
Graph the solution of this inequality 3/4(x+8)>1/2(2x+10)
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
(-9.206) x(14.04)=
in a decimal
Answer:
=−129.25224x
Step-by-step explanation:
(−9.206x)(14.04) you just simplify
For what value of x must ABCD be a parallelogram?
Answer:
7
Step-by-step explanation:
add 7 to 3x
Then: 4x-3x=1x which gives:
1x=7
7/1=7
Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint. There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds
Answer:
Step-by-step explanation:
At Jack’s ice cream shop, a customer receives a free ice cream cone for every 5 ice cream cones the customer purchases. Which of the following represents the ratio of the number of ice cream cones a customer purchases to the total number of ice cream cones the customer purchases and receives for free?
Answer:
5:1
The question states that for every 5 ice cream cones a customer purchases that they will get one free ice cream cone.
Example:
This means if a customer purchased 25 ice cream cones then they would get 5 free ice cream cones.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
=> 0:2
step by step :divide the first number by the second number and multiply the result by 100 (if necessary)
> first term is 1
> second term is 2
solution :
1 ÷ 5 = 1/2 (2dp) which is =0,2
final solution:
=0:2
Help help math math ASAP pelsss
Answer:
(6, 1)
Step-by-step explanation:
x + 3y = 9
x + 4y = 10
---------------------
-1 (x + 3y = 9)
---------------------
-x - 3y = -9
x + 4y = 10
1y = 1 or y =1
x + 4y = 10
x + 4(1) = 10
x + 4 = 10
-4 -4
x = 6
I hope this helps!
does anyone know this
Answer:
x ≤ 9
Step-by-step explanation:
Step 1: Write inequality
x - 9 ≤ 2(9 - x)
Step 2: Solve for x
Distribute 2: x - 9 ≤ 18 - 2xAdd 2x on both sides: 3x - 9 ≤ 18Add 9 to both sides: 3x ≤ 27Divide both sides by 3: x ≤ 9Here we see that any solution less than or equal to 9 would work.
Answer:
x ≤ 9
Step-by-step explanation:
x -9 ≤ 2(9 -x)
x -9 ≤ 18 -2x
+2x +2x
3x -9 ≤ 18
+9 +9
3x ≤ 27
[tex]\frac{3x}{3}[/tex] ≤ [tex]\frac{27}{3}[/tex]
x ≤ 9
A bottle contains 125 multivitamin tablets. Each tablet contains 20 milligrams of niacin.
How many grams of niacin in all are contained in the bottle?
Answer:
There are 2.5 grams of niacin contained in the bottle.
First you have to find how many milligrams are in the bottle.
So you multiply 125 by 20 since there are 125 tablets and 20 milligrams in each one.
125*20=2500
So there are 2500 milligrams in the bottle. Then you have to convert it into grams. To do that you divide the mass by 1000.
2500/1000=2.5
So there are 2.5 grams in the bottle.
Step-by-step explanation: hope this helps :)
Answer:
2.5
Step-by-step explanation:
125 vitamins, each vitamin has 20 milligrams. convert 20 milligrams to grams. 0.02 grams of niacin in each vitamin. 125 multiplied by 0.02 is 2.5