Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
mark me as brilinist please
Answer:
.4
Step-by-step explanation:
2.80/7=.4
7 x 0.4 = 2.8
Name all sets of numbers to which –V 169 belongs.
Answer:
Step-by-step explanation:
CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your answer
Answer:
WX = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]XY = [tex]2\sqrt{37} \approx 12.1655251\\\\[/tex]WY = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]Classify: Isosceles============================================================
Explanation:
Apply the distance formula to find the length of segment WX
W = (x1,y1) = (-10,4)
X = (x2,y2) = (-3, -1)
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]
Segment WX is exactly [tex]\sqrt{74}[/tex] units long which approximates to roughly 8.6023253
-------------------
Now let's find the length of segment XY
X = (x1,y1) = (-3, -1)
Y = (x2,y2) = (-5, 11)
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\[/tex]
Segment XY is exactly [tex]2\sqrt{37}[/tex] units long which approximates to 12.1655251
-------------------
Lastly, let's find the length of segment WY
W = (x1,y1) = (-10,4)
Y = (x2,y2) = (-5, 11)
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]
We see that segment WY is the same length as WX.
Because we have exactly two sides of the same length, this means triangle WXY is isosceles.
Can someone please help mehh
Answer: b = 7.4 yards
Step-by-step explanation:
In a right angle triangle, the length of each base squared added together is equal to the hypotenuse squared (Pythagorean theorem written as a^2 + b^2 = c^2)
The bases are b and 3 and the hypotenuse is 8
b^2 + 3^2 = 8^2
b^2 + 9 = 64
b^2 = 55
the square root of 55 is approximately 7.4
David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be
The answer is negative 660 (-660)
6 times x divided by 18
Answer:
[tex]\frac{6x}{18}[/tex]
Step-by-step explanation:
if i had 34567898754123179000364299964 cakes and i ate with my friends 276543234589986499 then how many do i have left?
Answer:
u have diabetes dawg
Step-by-step explanation:
Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.
Answer:
f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12
Marisa’s mother is driving her to a doctor’s appointment in a town 75 mi. away. If they travel at a constant rate of speed of 50 mph, how long will it take to get to the doctor’s office? A. 1 hr. B. 1.5 hr. C. 2.5 hr. D. 3 hr.
Answer:
B) 1.5 hr
Step-by-step explanation:
75 miles/50 mph = 1.5 hrs
Answer:
B.1.5
Step-by-step explanation: We can already add 1 hour to the answer since 75 minus 50 would be 25. Next, we know that 25 is one half of 50 so that would result in us adding half an hour or 0.5. Now we can add. 1 plus 0.5 results in 1.5
The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
74 units
15 units
Answer:
5 units is the correct value of W
A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?
$18.11
$13.39
$17.25
$18.53
Divide sale price by (1 - percent of discount):
15.75 / (1- 0.15) =
15.75 / 0.85 = 18.53
Answer = $18.53
Answer:
18.53
Step-by-step explanation:
18.53*0.15≈2.7795
Rounded = 2.78
18.53-2.78=15.75
Find the common ratio (r) of the sequence 3, -6, 12, -24, ...
Answer:
-2
Step-by-step explanation:
3*(-2)=-6
-6*(-2)=12
12*(-2)=-24
Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.
Answer:
108
Step-by-step explanation:
If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.
Answer:
a
Step-by-step explanation:
18 divded by 6 is 3
best anwser gets brainlist ty show work
Answer:
[tex]36b^{6}[/tex]
Step-by-step explanation:
Using exponential rules, this simplifies to [tex]6^{2} \cdot b^{3\cdot2} = 36b^{6}[/tex].
Bob has his own cyber security company. Using the graph answer the following questions
answer:
you need not attach a graph to this. please do that so we can help you with the questions.
x^{2}-3x-40=0x
2
−3x−40=0
Answer:
what the
Step-by-step explanation:
what is that weird
Find the value of x. Write your answer as a simplified radical if necessary.
Answer:
The answer is 3
This triangle is equal to the legs and also angular and by using Pythagoras then
[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 18 \\ then \: x = 3[/tex]
Plz help I literally suck at math... btw this is 6th grade math (there is an image)
Answer:
y=7x
Step-by-step explanation:
one way to think of it is by taking a y value from the table like (for example) 42 so you would do something like 42 divided by x = 6, or u could just do 42 divided by 6 which gives u 7. u can check ur answer by plugging in an x value to the equation. so for example we can plug in 8 to y=7x which is basically 7x8 and 7x8 is 56 which is true to the table.
im not rlly good at explaining things im sorry lol but I hope this kinda helped
Manjila gupta birth date
Answer:
i am jisoo i am okey
Step-by-step explanation:
jinnie
What is the arithmetic mean of the following numbers? 9, 10, 6, 5, 69,10,6,5,6
Step-by-step explanation:
First count the numbers how many they are
there are 9 numbers
Then do the sum of all these numbers
9+10+6+5+69+10+6+5+6/9 126/9 - 14Answer:
13
Step-by-step explanation:
i dont know u tell me
someone help me with this ples with steps
Answer:
[tex]x=\frac{21}{4}[/tex]
[tex]y=\frac{21}{2}[/tex]
Step-by-step explanation:
equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]
step2: simplify the expression:
[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]
[tex]2x=\frac{21}{2}[/tex]
(divide by 2 for both sides)
[tex]x=\frac{21}{4}[/tex]
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
[tex]y=\frac{21}{2}[/tex]
HELPPPPPP ASAPPPP PLSSSS
Answer:
a. 43
Step-by-step explanation:
This question is asking how much candy he had initially.
This means that t = 0 days
Thus anything to the power of 0 is just 1.
Hence: 43 x 1 = 43 candies
Aysha’s new bike has 26 inch diameter wheels. What is the circumference of her new wheel? Give your answer correct to 1 decimal place.
Answer:
81.6 inches is the circumference
Step-by-step explanation:
Circumference is π times diameter.
We can use a common value of π, 3.14
3.14 × 26 = 81.64
Round to 81.6 inches
Will mark brainliest.
Answer:
A
Step-by-step explanation:
hope it's help.......
decrease 40 by 62 1/2%
Answer:
15
Step-by-step explanation:
Take 62.5 from 100 = 37.5
divide this by 100 = 0.375
times 40 by this
0.375 x 40 = 15
D-13=6
F-26=12
M+18=109
56+k=231
How do you solve these with steps
Answer:
D=6+13=19
Step-by-step explanation:
F=26+12=38
M=109-18=91
k=231-56=175
help!!!!! plz! this is suppose to be done in a short time
Answer:
y=-4/3x
Step-by-step explanation:
i got to hurry so i kinda didnt have time
Answer:
b
Step-by-step explanation:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1:Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2:Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3:Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4:Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5:Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Answer:
Answer:
1.) the y intercept is 490 and the slope is -2/3x
2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right
3.) f(x)= -2/3x+490
The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.
4.) graph down below
5.) the profits are the same (slope) but the y intercept is higher then the original graph.
6.) y=-2/3x+300
Step-by-step explanation:
some of these are part of the problem as well.
1.) 2x+3y=1,470
3y=-2x+1,470
-2x+1,470/3
-2/3x + 490
y=-2/3x + 490
the y intercept is 490 and the slope is -2/3x
2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right
3.) f(x)= -2/3x+490
The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.
5.) 2x+3y=1,593
3y=-2x+1,593
y=-2/3x+531
the profits are the same (slope) but the y intercept is higher then the original graph.
6.) (150, 200) (300, 100)
y intercept= 300
m= 100-200/300-150 = -100/150 = -2/3
y=-2/3x+300
this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3
A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the speed of the boat in still water and the speed of the current.
Answer:
speed of boat is 12 miles per hour and the speed of current is 9 miles per hour
Step-by-step explanation:
A necklace is on sale for 40% off. the original price of the necklace is 168.50 what is the sale price on the necklace
Answer:
$67.4
Step-by-step explanation:
Answer:
$101.1
Step-by-step explanation:
