Answer:
NO REAL SOLUTIONScomplex solutions: x = -7 ± i√2
Step-by-step explanation:
[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]
[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex] means NO REAL SOLUTIONS (as there is no real √[-8])
However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]
2xy when x = 5 and y = -3
Answer:
the answer is -30
Step-by-step explanation:
2xy=2*5*-3
= -30
The value of the expression 2xy will be -30.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 2xy and x = 5 y = -3. To calculate the value put the value of x and y in the expression.
2xy=2 x 5 x -3
2xy= - 30
Therefore, the value of the expression 2xy will be -30.
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A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B
Answer:
200 miles
Step-by-step explanation:
Company A
Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2xCompany B
Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6xAssume x miles that makes same amount for both options, then:
130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 miles[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify
Answer:
-5i
Step-by-step explanation:
A city has h a population of 2549786 people
Step-by-step explanation:
Braziliannngffcghjhhb
hgg
Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
PLEASE HELP!
Function Notation
Evaluate the following expressions give the functions below:
F(x)=4x+5 H(x)= x+ 2
g(x)=3x^2-4
1.f(5)=
2.h(-8)=
3.g(2)=
4.f(-4)=
5.h(13)=
6.g(3)=
7.f(6)=
8.h(-9)
Answer:
sorry we can't read such type of this exercise
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)
Answer: 2.83
Step-by-step explanation:
Use the distance formula
Please help !!!!!!Asap!!
a1= -26. d= 200
a(n)= ?
Answer:
a(n) = -26+(200n-200)
Step-by-step explanation:
The formula for arithmetic series is "Tn=a+(n-1)d
Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.
therefore,Tn= -26+(200n-200)...
Nb: This answer is Subjected to review, thanks.
What is the value of n in the equation
An investor purchased a house 8 years ago for $48,000 This year it was appraised at $73,500 Complete parts (a) through (d) below. (a) A linear equation V=mt+b,0
Answer:
b = $48000, m = $3187.5 / year
Step-by-step explanation:
The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.
Given that V = mt + b:
b = initial price of the house at 0 years = $48000
V = mt + 48000, At 8 years the house is appraised at $73,500
73500 = 8m + 48000
8m = 73500 - 48000
8m = 25500
m = 3187.5
I need help with this geometryyyy workkk
Answer:
Perpendicular
Step-by-step explanation:
For this problem, it is important to note two things. One line is completely vertical, and the other line is completely horizontal.
The line y=9 is completely horizontal at the y-value at 9. The line x = 2 is completely vertical at the x-value at 2.
Hence, these two lines would be perpendicular.
Cheers.
Answer:
Perpendicular.
Step-by-step explanation:
Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.
2. Lenny is making pasta for dinner. The recipe calls for 3 cups of sauce to serve 15
people. If Lenny serves 60 people, how many cups of sauce does he need?
Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex]\sqrt{146} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(0,2)and (-5,-9)
The distance is
[tex]d = \sqrt{( {0 + 5})^{2} + ({2 + 9})^{2} } \\ = \sqrt{ {5}^{2} + {11}^{2} } \\ = \sqrt{25 + 121} \\ = \sqrt{146} [/tex]
We have the final answer as
[tex] \sqrt{146} \: \: \: units[/tex]
Hope this helps you
Answer:
ok. i have solved. u can have a look .
i need a step by step explanation of how to solve this
Answer: x = 6
Step-by-step explanation:
Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?
Answer:
Yoy answer is x=10
Step-by-step explanation:
We already know what ∠GEF is 23°
so you would have to create an equation like this [tex]23+(5x+1)=7x+4[/tex]
you add 23+1=24 and get [tex]5x+24=7x+4[/tex] subtract 5x on both sides
[tex]24=2x+4[/tex] subtract 4 on both sides
[tex]20=2x[/tex] divide 2 x=10
∠DEF=7(10)=70+4=74
∠DEG=5(10)=50+1=51
To check 51+23=74
The area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length of the side of a square floor increases the area of
the floor by a factor of 2^2
Answer:
Hi
Step-by-step explanation:
1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?
Answer:
f^-1(x)=x/3-1/3
Step-by-step explanation:
Solve 3(x + 6) - 2(x - 2) ≥ 10
Answer: x ≥ -12
Step-by-step explanation:
Step 1: Simplify both sides
x+22 ≥ 10
Step 2: Subtract 22 from both sides
x + 22 −22 ≥ 10 −22
Your answer should be
x ≥ −12
Answer:
[tex]x \geqslant - 12[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
Jason paid $9 for 20 erasers. If the price of each
eraser was decreased by $0.15, how many
erasers could he have bought for the same
amount of money at the new price?
erasers
Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).
Answer:
(47-14) h ÷ 3 =11
Step-by-step explanation:
47-14=33
33 divided by 3 is 11
Jackson takes 11 hours to sell 47 cups.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of hours that Jackson sold his cups on Sunday.
Now,
Saturday cups + Sunday cups = Total cups.
14 + 3x = 47
3x = 33
x = 11
Hence "Jackson takes 11 hours to sell 47 cups".
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How do you solve this problem? 7/10 x 1 1/3
Answer:
77/30
Step-by-step explanation:
7/10 x 11/3 = 7x11 = 77 and 10x3 = 30
the answer is 77/30
Please help! I dont understand this, I will give 15 points!
Answer:
Step-by-step explanation:
common denominator is the multiplication of the two denominator or the least common multiple of the two
common denominator 24 10 12
13/24 +7/12 ☑ ☑
7/6+(-5/12) ☑ ☑
-3/4+(-2/3) ☑ ☑
5-7/10 ☑ ☑
1/8 - 5/3 ☑ ☑
3/2 - 4/5 ☑ ☑
What number should be placed in the box to help complete the division calculation. Pls help
Answer:
I believe it would be 4
Which is greater -8 or 3
Answer:
three is greater than -8
What is the solution set for −4x+10≥5x+55?
Answer:
Step-by-step explanation:
-4x + 10 ≥ 5x + 55
-9x + 10 ≥ 55
-9x ≥ 45
x ≤ -5
A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.
FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||
NUMBER || 40 || 27 || 15 || 8 ||
ANGLE || ? || ? || ? || ? ||
Answer:
ORANGE: 160
APPLE: 108°
GRAPE: 60
OTHER: 32
Step-by-step explanation:
THE SUM OF 40, 27, 15 AND 8 IS 90
90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES
TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!
Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
25 meals
Step-by-step explanation:
All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)
Sal, John and Desmond have formed a partnership. The total investment was $750,000.
Sal owns 40% and John owns 25% of the partnership. How much did Desmond invest?
Plz answer this as well. Thankyou.
Answer:
21
Step-by-step explanation:
(-5-2)(-3)
= (-7)(-3)
=21