Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Explain the parts of an algebraic expression and what algebraic expressions can represent.
Step-by-step explanation:
Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.
Answer:
Answer: An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.
Step-by-step explanation:
Its The sample
EDG
2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination
[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
Solve -5x < -35. Enter your answer as an inequality.
Answer:
x > 7
Step-by-step explanation:
-5x < -35
(Divide by 5)
-x < -7
(When dividing by a negative number, you flip the sign)
x > 7
The answer of given inequality is x > 7 .
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Given,
-5x < -35
Divide by 5 in inequality
-x < -7
Multiply by (-1) in inequality [flip the sign of inequality]
So, x > 7
Learn more about inequalities
brainly.com/question/20383699
#SPJ2
What is the surface area of a triangular prism
To complete an English exam, you must write 3 essays from a list of 7 prompts. In how many ways can you complete the exam?
Answer:
35 ways
Step-by-step explanation:
7 nCr 3 = 7!/(3!(7-3)!) = 7!/(3!*4!) = 35
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
−7x−3≤ 25
Solve the inequality and graph the solution on the line provided.
—————————————————
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
Pretend this is a number line
Can anyone please help me with this I really need it done, please
and you graph it from -4 to the right with close circle
Hope this help
Please Help (no links)
Answer:
The answer is d
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
65÷b+8×4=20
Put the value of b=5 in equation
65÷5+8×4=20
According to BDMAS rule
13+32=20
45=20
Bring the terms on one side
45-20=25 Answer
Answer:
false
Step-by-step explanation:
use bidmas :)
ok, let's rewrite this for b = 5
65 ÷ 5 + 8 × 4 = 20
now put brackets
(65 ÷ 5) + (8 × 4) = 20
(13) + (32) = 20
13 + 32 = 45
45 ≠ 20
false
hope this helped and good luck!
-cheesetoasty
Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.
Answer:
B 1/2
Step-by-step explanation:
This is right
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.
What is probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.
Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.
{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}
The no of sets having the sum of the number is odd=9
The no of sets having the product of the number is 6=3
The total number including the two conditions=3+9=12
Probability is found as;
P=12/18
P=2/3
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.
Hence, option C is correct.
To learn more about probability, refer to the link;
https://brainly.com/question/795909
#SPJ2
the answer to this question
Answer:
3
Step-by-step explanation:
Kim works at a shoe store and makes $12.50 per hour. Last week she worked 34 hours, how much will her pay check be?
$46.50
$42.50
$465.00
$425.00
Will give brainliest
Answer:
$425.00
Step-by-step explanation:
12.5 times 34=$425
A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a % discount on your purchase that day. If the card is an odd number greater than 6, you get a % discount. Otherwise, you get a % discount. The table shows the results of customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the % discount, does this seem like an appropriate method? Explain.
Answer:
yrbffbfzbc
Step-by-step explanation:
brfzfbfz
In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches. Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?
Answer:
Area of Shaded Area = 18.3
Step-by-step explanation:
P.S - The exact question is -
Given - In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches.
To find - Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?
Proof -
We know that,
Area of a quarter circle = [tex]\frac{1}{4} \pi r^{2}[/tex]
Also,
We know that ,
Area of isosceles Triangle = [tex]\frac{1}{2}*Base*Height[/tex]
Now,
Given that,
Radius of quarter circle = 8 inches
Base of Isosceles Triangle = 8 inches
Height of Isosceles Triangle = 8 inches
∴ we get
Area of a quarter circle = [tex]\frac{1}{4} \pi (8)^{2}[/tex] = 16[tex]\pi[/tex]
Area of isosceles Triangle = [tex]\frac{1}{2}*8*8[/tex] = 32
Now,
Area of Shaded area = Area of a quarter circle - Area of isosceles Triangle
= 16[tex]\pi[/tex] - 32
= 50.265 - 32
= 18.265 ≈ 18.3
⇒Area of Shaded Area = 18.3
A researcher conducts an experiment using 10 loads of white shirts with similar stains. The loads are divided, and 5 of the loads are washed with name-brand detergent, while the other 5 are washed with store-brand detergent. Volunteers are asked to assess the cleanliness of the shirts.
What are the experimental units in this setting?
the types of detergent
the 10 loads of shirts
the volunteers who assess the stains
the machines used to wash the shirts
Answer:
the volunteers who assess the stains
Step-by-step explanation:
Hope this helps
Answer:
the types of detergent i think
Step-by-step explanation:
1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(
Answer:
C
I have done the math on a calculator. :p
Answer:
C
Step-by-step explanation:
First you Just Divide
and the remainder
will be R4 and it's 76÷6
4x+12<-8
What is the solution set for the inequality?
Answer:
x<-5
Step-by-step explanation:
(a)
What is the greatest odd number that can be formed using the digits 3, 8, 2 and 5?
please answer and explain #17 :)
Answer:
Solution given:
we have
m<PTQ=m<RTS
x+20=3x+12.
20-12=3x-x
x=
[tex] \frac{8}{2} [/tex]
now
16.m<PTQ=x+20=4+20=24°
17.
again
m<PTR+m<PTQ=180°[supplementary]
so
m<PTR=180°-24°=156° is your answer
Answer:
156°
Step-by-step explanation:
I see you have already found the x so now plug it in.
(4)+20=24
(4)(3)+12= 24
Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.
We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156
the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.
Does that make sense?
Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.
Karen paid $62 for pair of shoes. Three days later she noticed the shoes were on sale for $50. What was the percent of change
Answer:
24%
Step-by-step explanation: c:
Write the equation in standard form for the circle with center (-7,5) and radius 8
Answer:
64 = (x+7)^2 + (y-5)^2
Step-by-step explanation:
Equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So the equation is: 64 = (x+7)^2 + (y-5)^2
Which of the following events has a probability of 75% or higher?
a. choosing a consonant from the word leopards
b. landing on heads when flipping a coin
c. rolling a number greater than 1 on a die
d. choosing a consonant from the word horse
Answer:
D
Step-by-step explanation:
PLEASE HELP ANSWER THIS QUESTION!!!
Answer:
about 64.03
Step-by-step explanation:
A nonlinear function Group of answer choices is a function with a slope that is not constant. is a concept that only applies to the case of a single or two explanatory variables since you cannot draw a line in four dimensions. makes little sense, because variables in the real world are related linearly. can be adequately described by a straight line between the dependent variable and one of the explanatory variables.
Answer:
is a function with a slope that is not constant.
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.
On the other hand, nonlinear function has a negative relationship and as such an increase in one variable (input variable) causes a decrease in the other variable (output variable) i.e the variables are inversely proportional.
This ultimately implies that, the graph of a nonlinear is a curved line and whose direction is constantly changing.
Hence, a nonlinear function is a function with a slope that is not constant. An example of a nonlinear function is a quadratic function or equation.
Sorry for the blurryness. Please answer correctly and I guarantee I will mark you brainliest :)
Answer:
42
Step-by-step explanation:
37-79=42
Can someone help me please? and tysm for the people who helped me! <3
Answer:
$2141.75
Step-by-step explanation:
What are the median mode and range of 49 5 0 0 47 2 25 14
Mean (Average) 17.75
Median 9.5
Range 49
Mode 0, (appeared 2 times)
Geometric Mean 0
Largest 49
Smallest 0
Sum 142
hope this helps
By the way, these are the numbers you provided just in case you forgot anything, these are the ones I answered for.
49, 5, 0, 0, 47, 2, 25, 14
John painted 10 walls in 2 hours. Write an equation comparing walls
painted to hours. Explain why John can use this equation to find the
number of walls he could paint in one hour. Then solve.
Please help :3/ will mark brainliest !!! / please give genuine anwser .
Answer:
26m
Step-by-step explanation:
14m x b = 364m^2
b = 364m^2 / 14m
b = 26m