f(3)= 5x^2 - 4x + 9
evaluate this quadratic function
Answer:
[tex]f(3) = 38[/tex]
Step-by-step explanation:
Given the quadratic function
[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]
Evaluating the quadratic function
[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]
substitute x = 3
[tex]f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9[/tex]
[tex]f(3) = 45-16+9[/tex]
[tex]f(3) = 38[/tex]
Therefore,
[tex]f(3) = 38[/tex]Nick has a box of ornaments. All of them are blue, exept for 6. All of them are green, exept for 6. All of them are red, exept for 6. How many of each colored ornament does he have?
Which expression has a positive quotient
Answer:
a
Step-by-step explanation:
both sides being negative turns it positive
Part A
In triangle ABC, the measure of angle A is 90° the measure of angle B is 45°, and the measure of angle cis
45°. What is the combined measure of the three angles?
For his exercise today, Ivan plans to both run and swim. Let r be the number of laps he runs and let s be the number of laps he swims. Each lap he runs takes him 4 minutes, and each lap he swims takes him 2 minutes. He wants to exercise for more than 45 minutes today. Using the values and variables given, write an inequality describing this.
Answer:
4r + 2s > 45
Step-by-step explanation:
:) :) :) :) :) :) :)
Given a sequence is defined by the explicit definition: tn=2n−n
Find the 6th term of the sequence (i.e. t6 )
Answer:
The 6th term of the sequence is 58.
Step-by-step explanation:
The sequence is given by the following definition:
[tex]t_n = 2^n - n[/tex]
Find the 6th term of the sequence
This means that [tex]n = 6[/tex]. So
[tex]t_6 = 2^6 - 6 = 64 - 6 = 58[/tex]
The 6th term of the sequence is 58.
( p • 1) • 6 = ? halp
Answer:
= 6p Hope I helped. have a nice day!
I GIVEEEEEEE BRAINLILSTTTTTTTTTT
Answer:
I think its J, but I'm not 100% posative
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their values when d = 3.
2
1
4
3
0
the difference of 2 times d minus 3
4 added to the difference of d minus 3
the difference of d minus 3 divided by 2
the quotient of 12 divided by the
difference of 3 times d minus 3
Answer:
the difference of 2 times d minus 3= 6
4 added to the difference of d minus 3= 4
the difference of d minus 3 divided by 2= 0
the quotient of 12 divided by the difference of 3 times d minus 3= 2
Step-by-step explanation:
2 times 3 equals 6. 3 minus 3 equals 0. 6-0=6
d minus 3 equals 0. 4+0 equals 4
3 minus d equals 0. 0 divided by two is 0
3 times d= 9. minus 3 = 6. 12 divided by 6 = 2
hope this helps! (:
The correct pairs are:
The difference of 2 times d minus 3 --> 3
4 added to the difference of d minus 3 --> 4
The difference of d minus 3 divided by 2 --> 0
The quotient of 12 divided by the difference of 3 times d minus 3 --> 2
I need help with this problem ASAP
Answer:
y=-7
Step-by-step explanation:
horizontal line means that it doen't cross the x axis, so you just ignore the x value
Sarah can run 8.2 miles per hour. How many miles can she run in 2.5 hours?
Answer:
20.5 miles
Step-by-step explanation:
add 8.2 + 8.2 = 16.4 + 4.1 = 20.5
Hope this helps! :)
8.5x-5+2.6x simplify the expression
13 points!! Mikes bikes charges an initial fee of $10 to rent a bike plus $5 per hour (h) of use. If the total cost (t) can be determined using the equation t=10+5h, what is the greatest number of hours someone can rent a bike for $25
Answer:
Greatest number of hours = 3
Step-by-step explanation:
Given that:
Initial charges = $10
Per hour charges = $5
Number of hours = h
Equation;
t = 10 + 5h
For finding the hours for $25, we will put t=25 in the equation
25 = 10 + 5h
25 - 10 = 5h
5h = 15
Dividing both sides by 5
[tex]\frac{5h}{5}=\frac{15}{5}\\h=3[/tex]
Hence,
Greatest number of hours = 3
Answer:
3
Step-by-step explanation:
show that KLMN is a parallelogram
At the school carnival, the sixth graders are making directional arrows, as shown below. Each arrow needs to be painted red. How much area needs to be painted for one arrow?
Dimensions:
6
10
8
4
Answer:
10
Step-by-step explanation:
What is the exact value of sin (-5x/3
1/2
-1/2
✔️3/2
-✔️3/2
Answer:
Step-by-step explanation:
What is the solution to this inequality?
6x−5>−29
x −4
x>4
Answer:
x>4
Step-by-step explanation:
Answer: x>-4
Step-by-step explanation:
1. Add five to both sides [ this will cancel out the five ]
6x - 5 > -29
+5 +5
----------------------
6x > -24
2. Divide by six on both sides
6x > -24
---- ------
6 6
WHICH EQUALS
x > -4
In ΔPQR, ∠P and ∠Q are complementary angles. If sin Q = 3/5, then what is cos P + cos q
Plz hurry
Answer:7/5
Step-by-step explanation:
(Blank) x 1/6 = 5/6
I haven’t done this in a while so I need help.
Answer:
5
Step-by-step explanation:
Divide 5/6 by 1/6 to get 5 as your answer.
which round to ten 9.943, 9.501, 9.234, 9.612
Answer:
What is it rounded up to???
Step-by-step explanation:
Name each level of measurement for which data can be quantitative. Select all the levels of measurement for which data can be quantitative.
Answer: Interval, Ratio, ordinal
Step-by-step explanation:
Quantitative data refers to data with numerical variables and have numerical meaning for which mathematical inferences can be made. The interval scale is used are used only for quantitative variables. They provide an fixed and ordered arrangement on their scale and also provide useful and reasonable differences in values.
The ratio scale is another quantitative scale which is very similar to the interval scale, providing meaningful difference between the values. The ratio scale gives a true zero (zero here means none) value which is different from interval whose zero value does not mean real zero.
The ordinal scale can be applied to both Qualitative and quantitative variables, the scale gives a rank and ordered meaning to measurement. However, the numbers or scale values cannot be used for mathematical computation as they'll provide no useful meaning.
im doing decimals greatest to least and i need help with number 12 and 13
(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)
1. Just because a number looks big, doesn't mean it is big
Example: 1.00000000000001 < 1.1
just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"
2. Negative numbers are... opposite. and they are less than positive numbers
-3.4 > -4.1
Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers
I hope these tips helped!! :D
Answer:
12) 6.32, 6.318, 6.23, 6.108
13) 1.345, .654, .645, .456
Step-by-step explanation:
help me plzzzzzzzzzzzzzzzzzzz
Answer:
3p=1/2
Step-by-step explanation:
3 p's balance with 1/2 making them equal
A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?
Answer:
[tex]18cm<X<56cm[/tex]
Step-by-step explanation:
From the question we are told that
First side 37 cm
Second side 19 cm
Generally considering the triangle inequality theorem we have
[tex]37+19>X\\X+37>19\\X+19>37[/tex]
Solving equations we have
[tex]X<56\\X>18\\X>-18[/tex]
Generally from the inequalities the range of X is mathematically given as
[tex]X>18\\X<56[/tex]
[tex]18cm<X<56cm[/tex]
Therefore the range of the Third side is
[tex]18cm<X<56cm[/tex]
Simplify 3[(5-2)3+4]
Answer:
39
Step-by-step explanation:
Answer: 39
Step-by-step explanation: You do 5-2=3 and then (3)3=9 then add 9 and 4 to get 13 and then do 13x3 and get 39
If a point is translated down 6 Units what are the new coordinates expressed as an algebraic representation
Answer:
(x, y - 6)
Step-by-step explanation:
drake has nickels, dimes, and quarters in his pocket. The 18 coins have a value of $2.30. If there are three times as many dimes as quarters, how many nickels are there
Answer:
4 quarters=1.00
12 dimes=1.20
+2 nickles=0.10
18 coins=2.30
Step-by-step explanation:
So there are 4 quarters, 12 dimes, and 2 nickels.
Consumable resources are used up as you build goods or deliver services in your business. If your business uses on average 6 ounces of milk in a shake and serves 86 shakes per day, how many gallons of milk do you need to order each week? (1 gallon = 128 ounces)
a) 25
b) 27
c) 29
d) 32
Note: I think it is either 27 or 29 because when you do the math, you get 28.21875. I took 6 × 86 = 516, 516 ÷ 128 = 4.02125 × 7 = 28.21875
Complete Question
Answer:
28.21875 gallons
Step-by-step explanation:
Step 1
From the above question:
1 shake = 6 ounces of milk
86 shakes = x
Cross Multiply
x = 86 × 6 ounces of milk
x = 516 ounces of milk
Step 2
1 gallon = 128 ounces
Hence:
For 1 day
128 ounces of milk = 1 gallon
516 ounces of milks = x gallon
Cross Multiply
128 ounces × x = 516 ounces × 1
x = 516 ounces /128 ounces
x = 4.03125 gallons
For 1 week = 7 days
1 days = 4.03125 gallons
7 days = x
Cross Multiply
x = 7 × 4.03125
x = 28.21875 gallons
Therefore, she needs to order 28.21875 gallons of milk each week
Answer:
29
Step-by-step explanation:
You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
$30. How much is your total bill, including the tip? *
so since you're only doing 10% of 30, you get 3
add 3 to 30 and you get 33
A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49 randomly chosen locations along a water line. Suppose that the lead levels across all the locations on this line are strongly skewed to the right with a mean of ppb17 and a standard deviation of 14ppb. Assume that the measurements in the sample are independent.
Required:
What is the probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb?
Answer:
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = 0.1587
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' =49
Mean of the Population = 17ppb
The standard deviation of the population = 14ppb
Let 'X' be the random variable in a normal distribution
[tex]Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{15-17}{\frac{14}{\sqrt{49} } } = -1[/tex]
Step(ii):-
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = P(Z<-1) = 1-P(Z>-1)
= 1-(0.5+A(-1))
= 0.5 - A(1)
= 0.5-0.3413
= 0.1587
Final answer:-
The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb
P(x⁻< 15) = 0.1587
Answer:
0.16
Step-by-step explanation:
