Answer:
3 km
Step-by-step explanation:
He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
36 ÷ ____ = 9 15 points
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
what is 5 over 4 in math
Answer:
An improper fraction
Step-by-step explanation:
In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)
Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”
Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer
Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
The prices of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000 Based on the data, should the mean or the median be used to make an inference about the price of the houses in the neighborhood?
Answer:
The mean
Step-by-step explanation:
The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a list of numbers and not the average.
Answer: Median
Step-by-step explanation:
Median, because there is an outlier that affects the mean.
Step-by-step explanation:
The outlier is 1,110,000
As you have learned in the lesson, outliers affect means, meaning that you should not use them.
Hope this helped! ❤
Who has the shorter insect?
Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]
Answer:
$431.30(approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?
what percent of 81 is 51
Answer:
62.96%
Step-by-step explanation:
do this
51/81 ×100%
Answer:62.953%
Step-by-step explanation:
81 * (%) = 51
% = 51 / 81
% = 62.953
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
Fill in the table. What is the distance that David traveled going to his friend’s house and returning home?
Answer:12 and 12 hope this helps :)
Step-by-step explanation:
Answer:
mark her brialyist i cant spell lol
Step-by-step explanation:
10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.
The given ratio becomes 6x : 3x : x.
6x = black paint
3x = green paint
x = blue paint
6x + 3x + x = 500
10x = 500
x = 500/10
x = 50
6x = 6(50) = 300
3x = 3(50) = 150
x = 50
Answer:
300 ml of the black paint.
150 ml of the green paint.
50 ml of the blue paint.
Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.
Answer:
7172.6
Step-by-step explanation:
Evaluate the following expression 6⋅2+6^4 khan academy
Answer:
6.2+6^4
6.2+1.296
7.496
Hello could someone help me will name brainliest. No links please
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.
Answer:
No, it is not a solution to the equation.
Step-by-step explanation:
If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.
3a +b= 8
When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],
LHS
= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]
[tex] = \frac{19}{3} + \frac{15}{3} [/tex]
[tex] = \frac{34}{3} [/tex]
[tex] \frac{34}{3} ≠8[/tex]
Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.
Given equation is 3a+b = 8
Given point = (19/9,15/3)
Put a = 19/9 and b = 15/3 in LHS of the given equation then
⇛ 3(19/9)+(15/3)
⇛(19/3)+(15/3)
⇛ (19+15)/3
⇛ 34/3 ≠ 0
LHS ≠ RHS
Given point not satisfies the given equation
Therefore, it is not the solution of the given point.
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Which equation choice could represent the graph shown below?
26 30 45 43 26 14 28 33 56 29 what is the medain of this data set
Answer:
26isthemedian
Step-by-step explanation:
Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *
Answer:
3.27
Step-by-step explanation:
the money he spent in total is 9.53 subtract it to 12.80
The amount of money left after he purchased his lunch is $3.27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.
The amount of money left will be calculated as,
Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]
Money left = 12.80 - 9.53
Money left = $3.27
Therefore, the amount of money left after he purchased his lunch is $3.27.
To know more about an expression follow
https://brainly.com/question/20460320
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What is the value of z?
On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.
Answer:
1759.6
Step-by-step explanation:
8.3 multiplied by 212 i think
2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?
Answer:
721/M
Step-by-step explanation:
Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)
Please help with this question!!!!
Answer:
what is your question ?
Step-by-step explanation:
Please help I’ll give brainliest ASAP
Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answer:
11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr