Answer:
(a) discriminant is positive, 76
(b) the above tells you there are two real roots
Step-by-step explanation:
the discriminant is 'b² - 4ac'
3x² - 2x - 6 = 0 ∴ a = 3, b = -2, c = -6
(-2)² - 4(3)(-6) = 4 + 72
(a) The discriminant of the quadratic equation is positive, 76.
(b) The quadratic equation tells you there are two real roots.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.
Given that the quadratic equation 3x²-6=2x.
The discriminant Of the quadratic equation is calculated by the formula below:-
D = b² - 4ac
3x² - 2x - 6 = 0 ∴
a = 3, b = -2, c = -6
Put the value of the coefficient to get the value of the discriminant.
D = (-2)² - 4(3)(-6) = 4 + 72 = 76
Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots
To know more about a quadratic equation follow
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pls help me!! will give brainliest
Answer: (0,0)
If AB is translated right 5 units and down two then both points are translated by that amount.
A currently is (-5, 2)
x=-5 and y=2
Since youre going right by five your x value will increase by 5 so the point will instead be at x=0
Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0
x=0 and y=0
(0,0)
Answer: its 0,0
Step-by-step explanation:
helpppp helping my sister
Answer:
i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie
Step-by-step explanation:
You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?
Answer:
-2 times 10 or
-2*10
Answer:
they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.
A merchant made 15% profit by selling his goods for $92. How much did he pay for the goods?
Answer:
13.8 I believe is the answer
Pls solve will give brainlest
Answer:
x=65
Step-by-step explanation:
That is the answer.
Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,
Complete question :
The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.
Answer:
Dependent variable = Total cost
Independent variable = number of students
Step-by-step explanation:
The total cost equation is :
Total cost, c = cost per ticket * number of tickets
c = 7 * s
c = 7s
The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c
Ian’s favorite part of the pizza is the crust. Which size pizza should they order to get 37.68 inches of crust?
Answer:
extra-large
Step-by-step explanation:
(PLEASE HELP)
Which of the following does not represent the lengths of the side of a triangle
A. 2 cm,6 cm,7 cm
B.5 cm,5 cm,8 cm
C.5 cm,2 cm,5 cm
D.3 cm,10 cm,15 cm
Find the slope, or rate of change, from the following tables:
Please help me
Please help out and explain the best you can !
Answer:
you need to rotate the shape to the right into the upper right hand section of the graph
There’s a button for the pic
what is the domain? thank you
Answer:
D: {0 ≤ x ≤ 6.25}
Step-by-step explanation:
6.25 is an approximation
i need answer for 4 a)
Answer:
4a). 0.52
Step-by-step explanation:
-2(-5.2) × 0.1÷2= 0.52
Find the area of the given triangles.
Answer: 1125
Step-by-step explanation:
On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city
Answer:
After the 8th city is built there will be 28 roads between the cities
Step-by-step explanation:
The given parameters are;
The number of cities initially on the island = 7 cities
The number of roads between each 2 cities = 1 road
Therefore, we have the number of roads between the 7 cities are;
7 cities taking 2 at a time = ₇C₂
[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]
The initial number of roads between the 7 cities = 21 roads
The number of roads, 'n' there will be after the 8th city is built is therefore;
[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]
The number of roads there will be after the 8th city is built, n = 28 roads.
Help please due in 45 minutes
Answer: B
Step-by-step explanation:
Describe how ∠PTQ and ∠QTS in the figure are related.
Answer:
their unrelated
Step-by-step explanation:
might look similar but very different from each other
convert 0.0425 as a fraction in its simplest form
Answer:
17/400
Step-by-step explanation:
.0425 = 425/10,000
this can be simplified to be 17/400
13 ft 10 ft 18 ft Find the area of the trapezoid. [?] square feet
Step-by-step explanation:
A=a+b
2h=13+10
2×18=207
formula a=a+b/2×18
What would be formed by a cross-section parallel to the base of a octagonal pyramid?
A. octagon
B. circle
C. trapezoid
D. triangle
Answer:
A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.
Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.
someone please help me answer this question
Answer:
10. $33.5, c=3.50r+9
11. $51
Step-by-step explanation:
Please help! 50 points,, I REALLY need someone to answer these correctly so dont just answer for points pleasseee,,.
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet. (you can aslo make something up- as long as its an object that you can find in a house)
Complete ALL OF THESE. Show ALL work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10
Answer:
I chose a box of cereal-------> rectangular prism
see the attached figure
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Step-by-step explanation:
como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5
Answer:
Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.
Le he proporcionado un cuadro a continuación, espero que ayude :)
what is the value of x and y?
Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.
Step-by-step explanation:
Solve the equation x/9 = 6
Answer: x=54
Step-by-step explanation:
Answer:
Step-by-step explanation:
A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Answer:
She will not be correct
Step-by-step explanation:
Given data
Length=10in
Width=7in
Height=3in
The volume of the toolbox
V=10*7*3
V=210 in^3
Let us double the volume and see
2V= 210*2
=420 in^3
Let us also double the individual dimensions
Length=20
Width=14in
Height=6in
V= 20*14*6
V=1680 in^3
Hence the volume will be different, she will not be correct
Given the two dilated figures, what is the length of AB
I think the answer is B
sorry if I am wrong
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:
5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000
Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph
4 L = ___mL pls help
4000 mL
There is 1000 mL in a Liter
so multiply 4 x 1000