[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]
This equation has the next form:
[tex] {ax}^{2} + bx + c = 0[/tex]
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]
Then, the first case has two complex solutions.
In the second case,
[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]
The discriminant in this case is:
[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]
Then, the second case has two complex solutions.
In the third case,
[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]
The discriminant in this case is:
[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]
Then, the third case has two real solutions.
In the fourth case,
[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]
The discriminant in this case is:
[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]
Then, the fourth case has two complex solutions.
pls help!!
find the area of then triangle
Answer:
B, 11.7
Step-by-step explanation:
2.9x8.1/2 11.745, round to the nearest tenth, 11.7
Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.
Answer:
answer is 9 yd
Step-by-step explanation:
The missing length in right triangle by using the Pythagorean theorem is,
⇒ 9 yards
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
In a right triangle,
Hypotenuse = 15 yd
Perpendicular = 12 yd
Hence, By Pythagoras theorem;
Base² = 15² - 12²
Base² = 225 - 144
Base² = 81
Base = √81
Base = 9 yards
Thus, The missing length in right triangle by using the Pythagorean theorem is,
⇒ 9 yards
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
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anyone wanna help out? :’)
Answer:
325 dollars
Step-by-step explanation:
find 10% of 39000 3900 then divide it by 12 months which is 325 every month
Find the unit cost if 7 dozen carnations cost $10.15. Show work.
If u had two basketball and he had two basketball how much balls would you have in all
Answer:4
Step-by-step explanation:
Answer:
There's 4 basketballs.
2 + 2 = 4
What is the equation of the given line? Points (-5,2) and (2,-2)
x = –2
y = –2x
y = –2
x = 2
Answer:
y = - 2x
Step-by-step explanation:
Which expression is equivalent to 2(4 + x + 6y) + 3(5 + 3x + y)
Answer:11x + 15y + 23
Step-by-step explanation:
How do I solve for x?
Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8
a market research company surveyed 1500 teenage cell phone owner's the company learned that 4/5 of them use cell phone data services how many teenagers surveyed use cell phone data services
Suppose the diameter of a circle is 16 units what is the circumference?
Answer:
Step-by-step explanation:
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
16 = diameter
Circumference = Diameter * pi
Sometimes the teacher may want you to round pi to 3.14...
In that case do 16 * 3.14 = 50.24
Use ALL of the tools have, to find area and perimeter of this below:
9514 1404 393
Answer:
area 36 ft²perimeter 30 ftStep-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
__
The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.
The bus travels 35 blocks in 7 minutes . If the bus travels at a constant speed , how long will it take to travel 50 blocks ?
HELPPP PLEASE NOOO LINKSSS PLEASE
Answer:
10 min
Step-by-step explanation:
35/7=5 blocks in 1 min
50/5=10
Can somebody help me please!!
Answer:
Its A
Step-by-step explanation:
Test due in 2 hours! Will give good review and brainliest. :)
Answer:
circumference =9 volume = 972
Step-by-step explanation:
circumference of sphere =2 π r =18π ; r= 18π/2 π =9
Volume =4/3 *π r^3 =π* 4/3 *9*81 =4*3*81 π =12*81π = 972π Cubic inches
Volume of sphere is=972π
may i be marked brainliest?
Amie had $22 to spend on school supplies. After buying 8 pens, she had $10 left. How much did each pen cost?
Answer:
Each pen cost about $1.50
Step-by-step explanation:
My math is most likely wrong but I first did 22-10 and 12. Then I did 12 divided by 8 and got 1.50. Hope this helps :)
answer more great answer will get brainliest
Answer:
how much he should run t make a homerun
As inflation increases, it causes the money you earn today to have _____. less value in the future more purchasing power in the future no purchasing power effect in the future more value in the future
Answer:
This answer is A
Step-by-step explanation:
your welcome, im fast to answer
Answer:
the answer is a
Step-by-step explanation:
Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?
es -))
A)
(x + 3)2 = 1
B)
(x+3)2 = 9
C)
(x - 3)2 = 1
D)
(x-3)=9
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:
Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =
Answer: 5x2-2x-7
Step-by-step explanation:
(4x2 + 3x - 1) + (x2 - 5x - 6)
=4x2+3x-1+x2-5x-6
=5x2-2x-7
PLEASE HELP I NEED THIS TO GET MY GRADE UP
Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]
Whats 10 Divided by 4 with a Remainder?
Answer:
Step-by-step explanation:
10/4= 2 r 2
Answer: it’s 2.5, with a remainder it’s 2 r2
Step-by-step explanation:
I don't know how to do this. Any help?
Answer:
cos 37=x/b (second one)
sin 37= a/b (third one)
tan 37=a/x (sixth one)
Step-by-step explanation:
Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.
I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)
Answer:
i dont know what set a or b is...I would love to help you though...see below.
Step-by-step explanation:
Mean is best used for a data set with numbers that are close together.
The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.
In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.
You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.
This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.
Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification
Find the value of each trigonometric ratio. Simplify if possible.
Answer:
15/8
Step-by-step explanation:
opp/adj=30/16=15/8
Which phase is a description of the expression below 15-7n
Answer:
[see below]
Step-by-step explanation:
-7n is getting subtracted from 15.
7n is 'the product of 7 and n'
15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/
Hope this helps.
Help pls help I need help
Answer:
bro no one can see that
Step-by-step explanation:
Answer:
8ounces
Step-by-step explanation:
pounds* 16= ounces
therefore 1/2pounds *16=8ounces
Find the X and Y
Help ASAP please!!!
What is the slope of the line represented by the equation y=4/5x-3
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
Will give brainliest!!
Two lines, A and B, are represented by the following equations:
Line A: 4x + 4y = 16
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
Group of answer choices
A) It is (1, 2).
B) It is (1, 5).
C) There are infinitely many solutions.
D) There is no solution.
Answer:
Infitite solutions (C)
Step-by-step explanation:
They are the same line.
