Answer:
y=3x-2 is a function because it passes the vertical line test.
Step-by-step explanation:
The given equation y² = - 3x - 2 represents a function.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, y² = - 3x - 2
For x = 0, y = √(- 3 × 0 - 2) = √(-2)
For x = 1, y = √(- 3 × 1 - 2) = √(-5)
For x = -1, y = √[- 3 × (- 1) - 2) = ± 1
For any value of 'x' in the domain, 'y' has at least a value in the range.
Hence, the given equation represents a function.
Learn more about a function here: brainly.com/question/3951330
#SPJ3
solve the quadratic equation 3x^2-5x-7=0
Step-by-step explanation:
[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]
Equation from the positive root:
[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]
Equation from the negative root:
[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]
Answer:[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.
Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .
To Find : The roots of the equation .
Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .
⇒ 3x² -5x - 7 = 0.
Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.
[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]
On substituting respective values ,
⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.
⇒x = 5 ± √ [ 25 + 84 ]/ 6 .
⇒ x = 5 ± √ 109 / 6 .
⇒ x = 5 + √109 / 6 , 5 - √109 / 6.
[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]
The slope of a line is 2. The y-intercept of the line is 6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2. left 1 to locate the next ordered pair
on the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Answer:
A
Step-by-step explanation:
ANSWER NOW THE WORLD iS AT STAKE
2x + 8 > − 4
Translate the inequality into written language.
Find the solution set of
x
and describe how you would graph it on a number line.
Answer:
x>-6
Step-by-step explanation:
2x+8>-4
-8 -8
2x>-12
2x/2 > -12/2
x>-6
the open circle is going the way the symbol is going on the graph, which is >.
Answer:
x>-6
Step-by-step explanation:
Helpppppp!!! PLEASE
:((
Answer:
Using the vertical line test, the functions are b, c, d, and f
Step-by-step explanation:
a and e both fail the vertical line test, therefore, it's not a functions.
30% of what equals 600
Answer: it equals 180 hope it helps
Answer:
180
Step-by-step explanation:
30% × 600 =
(30 ÷ 100) × 600 =
(30 × 600) ÷ 100 =
18,000 ÷ 100 =
180
Hope this helps!! Good luck on your assignment!
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
The blue liquid is toxic
Step-by-step explanation:
From the calculations I have done and attached to this problem
Null hypothesis:
H0 : p1 <= p2
Alternate hypothesis:
H1 : p1 > p2
^p1 = 0.925
^p2 = 0.2250
^P = (x1 + x2)/(n1+n2)
= 0.575
After calculating, I got test statistics = 6.33 ( check attachment)
P(z > 6.33) = 0.0000
In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.
Please check attachment for calculated test statistics.
What is 70% of 9? (Change 70% to.70 and multiply by 9)
Answer:
6.3
Step-by-step explanation:
Answer:
W = 6.3
Step-by-step explanation:
Is means equals and of means multiply
W = 70% *9
W = .70*9
W = 6.3
Hi Guys
Please answer this question. I will choose Brainliest.
Also please do a step by step method.
Worth 10 points and it is a Maths question.
Cheers,
Jake
Answer:
In simplifying this is simple.
2-4 x + 3x-12.2x+9x2-x-12what is the equation of the line perpendicular to the line y = -x + 2 through the point (3, 5)?
Answer:
First, solve 3x+2y=4 for y.
*Subtract 3x from both sides*
2y=-3x+4
*Divide both sides by 2*
y=-3/2x+2
Parallel lines have the same slope so the answer is y=-3/2x+7/2
Hope this helps!!
I mark as brainliest
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
:)
Find the slope of the line passing through the points (8,-4) and (-6,-3).
Anybody know this ?
Answer:
= -1/14
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -4)/( -6 -8)
= ( -3+4)/( -6-8)
1/-14
= -1/14
the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
8x - 9 = - 2x + 11
Answer:
10/3
3.333333
3 1/3
Step-by-step explanation:
hope this helps
There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?
Answer:
32 inches
Step-by-step explanation:
Because height times width equals area,
we can divide 112 by 3.5 to get the width
So it is 32 inches
Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.
Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.
Answer:
a) maximize 12F + 9S
where:
F = football trophies
S = soccer trophies
b) constraints:
wood ⇒ 4F + 2S ≤ 4800
plaques ⇒ F + S ≤ 1750
brass footballs ⇒ F ≤ 1000
brass soccer balls ⇒ S ≤ 1500
c) using solver, the optimal solution is 650F + 1100S = $17,700
d) plaques ⇒ F + S ≤ 200, then
optimal solution is 200F = $2,400
can you please help me
Answer:
What would you like help on?
Step-by-step explanation:
How much of the pumpkin bread does edgar get in all find the quotient.
3 ÷ 5=??
Answer:
hi i am doing that i ready lesson right now the answer is 3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
find the value of x.
The answer is 13, but I need to show my work
Thank you guys
Answer:
Know the properties of vertical angles.
Step-by-step explanation:
Vertical angles are equal to each other, so we must make them equal to each other in an equation:
6x+2=80
6x=78
x=13
A regular hexagon is rotated about its center. By which angle could the hexagon be rotated so that it is mapped onto itself?
30°
45°
600
90°
Previous
Answer: 60
Step-by-step explanation:
Add:
3 + 6 =
6 + (-4) =
Answer:
3 + 6 = 9
6 + (-4) = 2
Step-by-step explanation:
Answer:
9 and 2
Step-by-step explanation:
3 + 6 =
9
6 + (-4) =
6-4=
2
What is the correct counting for this measure of music?
A
B
C
????
Answer:
b
Step-by-step explanation:
A crotchet is one, a tied crotchet is 2-3, the quavers are 4 +
If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
translation: 3 units left and 5 units down
Determine how many solutions the following equation has using quadratic formula x^2+5x=-8
Answer:
I will be using differentiation method
Step-by-step explanation:
x^2+5x =-8
2×x ×x^2-1 +5x = -8
2x +5x = -8
7x = -8
divide both sides by the co-efficient of x
7x÷7=-8÷7
x =-1.5
A juice box has a length of 2 inches, a width of 1 inch, and a height of 4 inches. What is the volume of the juice box?
Answer:
8 in
Step-by-step explanation:
L × W × H = V2 × 1 × 4 = 8 inI hope this helps!
Cualquiera de las dos rectas puede ser la de pendiente 1 o pendiente 2, sólo hay que
conservarla hasta el final de la operación.
BLO
Fórmula que vamos a aplicar:
m-m
1+m-m
tan 0=
Pendiente de la recta 3x - 4y + 8 = 0
Pendiente de la recta 2x + 3y - 23 = 0
Sustitución de datos
tan 0 =
Al realizar la operación de la fórmula se obtiene la tangente del ángulo, por lo que hay
que buscar el inverso de la tangente, que es el valor del ángulo de intersección entre
las rectas dadas.
tan 8 =
El valor del ángulo e es
please help explain if you can
Answer:
A
Step-by-step explanation:
58-90 bc its a right triangle
hope this helps
1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?
Answer:
Step-by-step explanation:
Since the Tootsie Roll lollipop is a sphere
volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]
the negative sign indicates that the volume is decreasing
upon differentiating
as the diameter given is =0.75 so radius will be = 0.375
[tex]dV/dt = 4piR^2*dR/dt[/tex]
so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]
So the radius is decreasing at the rate of dR/dt= 0.142in/min
Solve the equation. Then check your solution.
-4/5 w+ 1/4= 1/5 + 1/3w. A.-27/68.
B.3/68.
C.3/28.
D-3/68
Answer:
CORRECT ANSWER IS B
Step-by-step explanation:
edge 2023 ;D
The grid shows the number of hours four people worked and the total amount they each earned in dollars.
Total Amount Earned (dollars)
55
Yves
45+
40+
35+
Mia
30
25+
Sam
20+
Carlos
15+
10+
5+
+++++
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Hours Worked
5
Which statement is true?
O A. Sam worked 20 hours and earned $5.
O C. Mia worked 35 hours and earned $7 an hour.
O D. Yves worked 5 hours and earned $50 an hour.
O B. Carlos worked 2 hours and earned $20.
Ok
Answer:
The correct statement are D and B.
Step-by-step explanation:
There are 4 data points on the grid labeled with names: Carlos at point (2, 20). Sam at point (5, 25). Yves at point (5, 50). Mia at point (7, 35).
The data can be represented in tabular form as follows:
Employees Number of hours Amount earned
Carlos 2 $20
Sam 5 $25
Yves 5 $50
Mia 7 $35
The provided data can be written in statement form as follows:
Carlos worked 2 hours and earned $20 an hour.Sam worked 5 hours and earned $25 an hour.Yves worked 5 hours and earned $50 an hour.Mia worked 7 hours and earned $35 an hour.Thus, the correct statement are D and B.