Answer:
x = -0.18046, 1.84713
Step-by-step explanation:
Since we cannot factor the quadratic, we need to use quadratic formula ([tex]x = \frac{-b+/- \sqrt{b^2-4ac} }{2a}[/tex]):
a = 3
b = -5
c = -1
[tex]x = \frac{-(-5) +/- \sqrt{(-5)^2-4(3)(-1)} }{2(3)}[/tex]
[tex]x = \frac{5+/- \sqrt{25 + 12} }{6}[/tex]
[tex]x = \frac{5+/- \sqrt{37} }{6}[/tex]
Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?
Answer:
$324
Step-by-step explanation:
Melissa sold 18 tickets.
Jona sold 1/2 * 18 = 9 tickets
Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets
Total number of tickets sold:
18 + 9 + 27 = 54
Total money from sales: 54 * $6 = $324
Geometry A Credit 3 learning events packet I REWALLLALEJSNE NEED HELP PLEASE
Answer:
Dang that’s Hard
Step-by-step explanation:
The current value of a car is given by y = -2000x + 25000, where x represents the number of years after the car was first purchased and y represents the current market value of the car. Explain the significance of the slope and y-intercept of this equation.
Answer:
The slope shows how much money the car decreases by each year. (Every year after the car was first purchased the value of it goes down by $2,000) The y-intercept tells what the starting price of the car was. ( they bought it for $25,000)
Step-by-step explanation:
Algebra
y=mx+b
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.
Answer:
(2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
(xy+3x+2)(xy-9)
= X²y² -7xy+3x²y -27x-18
(x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +7xy -6
Step-by-step explanation:
For (xy+9y+2) and (xy-3)
(xy+9y+2) (xy-3)
= x²y² -3xy +9xy² -27y + 2xy -6
= x²y² -xy +9xy² -27y -6
For (2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
For (x-y)(x+3y)
= X² + 3xy -xy -3y²
= X² +2xy -3y²
For (xy+3x+2)(xy-9)
= X²y² -9xy +3x²y -27x+2xy -18
= X²y² -7xy+3x²y -27x-18
For (x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +9xy -2xy -6
= X³y + 3x² + 3x²y² +7xy -6
Please answer my question now in two minutes
[tex]\displaystyle\bf\\UX=\frac{VW}{2}\\\\\implies~2UX=VW\\\\ 2z=z+34\\2z-z=34\\z=34\\\\\implies~\boxed{\bf UX=34}[/tex]
PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3
Answer:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
[tex]C = 1[/tex]
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
[tex]V(x,y) = (-3,-2)[/tex]
The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]
[tex]y = x^{2} + 6\cdot x + 7[/tex]
Then, the blue parabola is represented by the following equations:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2
Answer:
I attached it.
Step-by-step explanation:
This is the graph.
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.
Hi,
it'took 70 minutes to empty the pool.
After 20 it's stay 45 000 litres. So in 50 minutes, 45 000 litres are gone.
So : 45 000 / 50 = 4500/5 = 9*5 *100 /5 = 900
900 litres is off every minute.
So the pool contained : 900 *70 = 63 000 litres in the beginning.
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
60 square units
Step-by-step explanation:
We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.
From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...
(10×6), (2×6), (6×4), (6×4)
Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...
(1/2)(60 +12 +24 +24) = 60
Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:
trapezoid area = 120 -60 = 60 . . . . square units
the value of x is: 52 degrees. 128 degrees. 48 degrees. None of the choices are correct.
Answer:
52°
Step-by-step explanation:
Since the side 52° is 10 and is congruent to the other side x° (also has 10), we know that the triangle is isosceles and that the 2 angles are congruent (by definition of an isosceles triangle). We could also use Law of Sines and Law of Cosines to prove this.
Answer:
A. 52 degrees
Step-by-step explanation:
Two sides are equal, so the triangle is an isosceles triangle.
Both base angles are equal.
x = 52
Mia got 24 out of 30 problems
correct. What percent is this?
Answer:
80% (see below)
Step-by-step explanation:
24:30
24 ÷ 30 = 0.8
0.8 = 80%
Hope this helped! :)
Answer:
80%
Step-by-step explanation:
Step 1: Find the fraction she got correct
24/30 = 4/5
Step 2: Find the decimal
4/5 = 0.8
Step 3: Convert to percentage by multiplying by 100
0.8(100) = 80%
Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?
Answer:
Let's do this step by step
Since there are 72 apples, the pears are 3 times as much. So multiply by 3
[tex]72 * 3=216[/tex]
So there would be 216 pears.
Now for Kiwis
They are 2 times as much, Multiply by 2
[tex]72 *2=144[/tex]
All together with the kiwi and the pears are
[tex]216+144=360[/tex]
And all the fruits together it would be
432
Hope this helps
Answer by
Fishylikeswater
The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.
How many pears does she have?Number of apples = 72 apples
Number of kiwis = 2 × 72
= 144 kiwis
Number of pears = 72 × 3
= 216 pears
Therefore, Peggy has 144 kiwis
Read more on Algebra:
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Please help, doing age word problems. Tysm if you do, really appreciated :D
Answer:
D (12, 21); B (11, 17); C (18,28); D (42); C (8).
Step-by-step explanation:
First:
Let I represent Isabel and M represent Marie.
We know that currently, Isabel is 9 years older than Marie, or:
I=9+M.
In three years, Isabel will be six years less than twice of Marie's age. In other words:
(I+3)= 2(M+3)-6
Now solve. Substitute I.
(9+M+3)=2M+6-6
12+M=2M
M=12; I=21. Marie is 12 while Isabel is 21.
Second:
Let I represent Isabel and M represent Marie.
Isabel is 6 years older than Marie; in other words: I=6+M
In 4 years, Isabel will be 9 years less than twice Marie's age. Or:
(I+4)=2(M+4)-9
Solve. Substitute I.
(6+M+4)=2(M+4)-9
10+M=2M+8-9
10+M=2M-1
11=M; I=17; Marie is 11 while Isabel is 17.
Third:
Let I represent Isabel and M represent Marie.
Isabel is 10 years older than Marie, or: I=10+M
In 2 years, twice Isabel's age is three times Marie's age. Or:
2(I+2)=3(M+2)
Solve. Substitute for I.
2(10+M+2)=3(M+2)
24+2M=3M+6
18=M; I=28. Marie is 18 while Isabel is 28.
Fourth:
Let M represent Mary and A represent Ann.
Mary is 3 time as old as Ann. Or: M=3A
7 years ago Mary was 5 times as old as Ann. In other words:
(M-7)=5(A-7)
Solve for this system. Substitute M.
(3A-7)=5A-35
-2A=-28
A=14; M=42; Mary is 42.
Fifth:
Let T represent Tammy and L represent Laurel.
We know that Tammy is 42 while Laurel is 9. In other words:
T=42 and L=9.
We need to find in how many years will 3 times Laurel's age be 1 more than Tammy's age. In other words, let's let y represent the amount of years. Thus:
3(L+y)=(T+y)+1
We already know L and T:
3(9+y)=(42+y)+1
27+3y=43+y
2y=16
y=8
In 8 years, when Laurel is 17 and Tammy is 50. (3 times 17 is 51, one more than 50).
Step-by-step explanation:
Problem 1 :Since we have the answers no need to write an equation and solve it
4 and 13 : substract 3 from each : 1 , 10 so Isabel is really 9 years older than Marie add 3 : 7 and 16 16+6 = 21 = 7*3 so that's rightthe answer is A
Problem 2 : 11 and 17 17 -11 = 6 so that's right add 4 to each : 17+4 = 21 11+4= 15 21+9 = 30= 15*2 so that's rightb is the answer
Problem 3 : 18 and 28 28-18= 10 so it's a good choice add 2 : 30 and 20 30*2= 60 and 20*3 = 60so that's true !C is the answer
Problem 4 : here i have a method let x be the age of Marie and y the age of Ann Mary is 3 times as old as Ann so : x = 3y 7 years ago Mary was 5 times as old as An so x-7 = 5(y-7) solve the equations and you'll get y= 14 so x = 3*y = 3*14= 42So the answer is D
Problem 5 : 42 + 8 = 50 and 8+9= 17 17*3 = 51 51-50 = 1 so the answer is 8 yearsThe answer is c
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)
Answer:
Parallel to the x-axisStep-by-step explanation:
Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;
The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.
It can also written as y = 0x-2. This shows that slope m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2
The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis
Check the attachment for the graph.
The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
A graph is a pictorial representation of data or values in a well - organized manner.
The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.
The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.
The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.
So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
Option 1) is correct.
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What is the surface area of the right cone below?
Answer: D) 339 sq. units
Step-by-step explanation:
see attachment
Plz work this out ASAP plz
Answer:
0.143059
Step-by-step explanation:
[tex]\dfrac{\sqrt{19 + 6^2}}{7.2^2} =[/tex]
[tex]= \dfrac{\sqrt{55}}{51.84}[/tex]
[tex] = 0.143059 [/tex]
given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Please give brainliest, I explained in the comments
Step-by-step explanation:
Is Triangle UVW cong Triangle XYZ? If so, name the postulate that applies
Answer:
Might not be congruent
Step-by-step explanation:
Because look carefully and use the measurment and you can compare my answer to yours
Can someone help me ASAP please?
Answer:
67.4°
Step-by-step explanation:
sin x=12/13
x=sin-1(12/13)
x=67.38
give answer correct to 1 decimal places
67.38=67.4°
Answer:
[tex]\boxed{Q = 67.4 degrees}[/tex]
Step-by-step explanation:
Sin Q = [tex]\frac{opposite}{hypotenuse}[/tex]
Where opposite = 12, hypotenuse = 13
Sin Q = 12/13
Q = [tex]Sin^{-1}0.923[/tex]
Q = 67.4 degrees
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
Answer:
Step-by-step explanation:
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.
Answer: For the first option which is leasing, it is described by the equation:
250x - y + 4000 = 0
The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.
Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.
Therefore:
y = 250x + 4000
This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250
The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]
The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400
PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool: (image attached below)
Line of best fit:_________________________________________________
approximate Slope: ______________________________________
Y intercept of the line of best fit.:________________________
Steps taken to solve or find the slope and intercept: ________________
Answer:
Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.
My points I will pick are (1,1) and (5,2)
2-1/5-1=3/4
therefore approximate slope is 3/4
Like I said I am not positive but I am just trying to help out in some way.
If something is incorrect please inform me. If this helps also please inform me.
15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
arc AB has a central angle which measure 85°.
(3marks)
859
Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos
rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos
interiores suman 180°. La notación que se acostumbra es la siguiente.
Find x.
Do not round your answer.
Answer:
x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm
Answer:
x =12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(4+x) * 4 = 8^2
Distribute
16+4x = 64
Subtract 16 from each side
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
HELP ME WITH THIS IMPROPER FRACTION QUESTION pls
Answer:
(a) [tex]4\frac{1}{5}[/tex]
(b) [tex]7\frac{7}{24}[/tex]
Step-by-step explanation:
One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.
(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:
[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]
Now perform the requested operation:
[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]
(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:
[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]
[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]
Dominic's three daughters want to take gymnastics this year. It costs $90 per month per child. How much does Dominic need to budget for a year (12 months)
of gymnastics for his daughters?
Answer:
$3,240
Step-by-step explanation:
To find the amount of money that Dominic will need to pay for gymnastics for his three daughters, first you have to multiply the cost per month per child for 12 months to know the cost per year per child:
$90*12=$1,080
Then, you has to multiply the cost per year per child for 3 that is the number of daughters:
$1,080*3=$3,240
According to this, Dominic need to budget $3,240 for a year (12 months)
of gymnastics for his daughters.
What is the domain and range ?
Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.
Test for the commutative property of union and intersection of the sets P = { x : x is all real numbers between 2 and 7} and Q = { x : x is all rational numbers between 2 and 7}
Answer:
Step-by-step explanation:
P = {x : x is a real number between 2 and 7}
{x: 3,4,5,6}
Q = {x : x is all rational number between 2 and 7}
{4 }
We know that P contains all the rational numbers between 2 and 7.
And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.
{3,4,5,6}
Here Q is the proper subset of P
P ∩ Q = Q ∩ P = Q= {4}
solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me
Answer:
(-0.667,0), & (1.333,0)
Step-by-step explanation:
The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).
Hopefully this helps & gets brainliest.
Jan threw a javelin. h(d) the height of the tip of the javelin (in meters) as a function of its horizontal distance (in meters) d from the throwing arc. Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
x - intercept -> Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground
increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters
Step-by-step explanation:
x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.
increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..