What is the solution to x^2 + 12x + 41 = 0 when written in the form a ± bi?
Answer:
-6 ± √5i
Step-by-step explanation:
In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the
bond?
Answer:
Principal = $1800
Step-by-step explanation:
[tex]594 = \frac{p \times 5.5 \times 6}{100} [/tex]
[tex] \frac{594 \times 100}{5.5 \times 6} [/tex]
59400/33 = p
1800 = p
how do you convert y=-2x²+4x-1 into vertex form
Answer:
y = –2(x – 1)² + 1
Step-by-step explanation:
Given the quadratic function, y = -2x²+ 4x - 1:
where a = -2, b = 4, and c = -1
The vertex of a parabola is the point on the graph where the parabola intersects the axis of symmetry. The axis of symmetry occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula:
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-4}{2(-2)} = 1[/tex]
Therefore, h = 1.
Next, to find the k, plug in the value of h into the original equation:
k = -2x²+ 4x - 1
k = -2(1)²+ 4(1) - 1
k = 1
Therefore, the value of k = 1.
The vertex (h, k ) occurs at point (1, 1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
y = a(x - h)² + k
a = determines whether the graph opens up or down; it also makes the parent function wider or narrower.
If a is positive, the graph opens up. If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (1, 1) into the vertex form:
y = –2(x – 1)² + 1
This parabola is downward facing, with its vertex, (1, 1) as its maximum point on the graph.
Autumn found a wallet containing $ 900 in the street. She returned the wallet to its owner, who gave her a $ 180 reward. What percentage of the $ 900 was the reward?
Answer:
[tex]\frac{180}{900} = 0.2[/tex] × [tex]100 =20[/tex]
Autumn got a 20% reward of the $900 she found.
It takes Francisco 8 hours to rake the front lawn while his brother, Caleb, can rake the lawn in 6 hours. How long will it take them to take the lawn working together?
Round your answer to two decimal places.
Answer:
8/6 = 1.33
hope this helps
Abc is a right-angled triangle d lies on bc, and dc=db Bc=14 cm
Answer: 19.78
Step-by-step explanation:
Are you trying to use the Pythagorean theorem? If so, here.
Since the two legs are the same, you use one multiplication equation.
14 x 14=196
196+196= 392
Square root 392: Aproximately 19.78
ASAP 40 points
Picture attached
Answer:
its c
Step-by-step explanation:
hope it helps you
What is the determinant of matrix A?
Answer:
360
Step-by-step explanation:
(28*15)-(-5*-12) = 420 - 60 = 360
how do i distribute it into a simpler problem so i can find the sum.
Answer:
you multiply through parenthesis
Step-by-step explanation:
ex.
3(3x+4)=48
9x+12=48
-12. -12
9x=36
9x/9. 36/9
x=4
I think this is what you are asking but I'm not for sure
a) How much more does 1 and 1/4 pounds of beef cost than 1 and 1/4 pounds of turkey?
Answer:
0 more lol
Step-by-step explanation:
Evaluate the function f(x) = -7x + 2 at f(-18).
Answer:
128
Step-by-step explanation:
-7x+2 = -18(-7)+2=126+2=128
For a given function f(x) = x^2 - x + 1, the operation -f(x) = -(x^2 - x +1) will result in a
A. horizontal shrink
B. reflection across the y-axis
C. vertical shrink
D. reflection across the x-axis
Answer:
D. reflection across the x-axis
Leo sold candy bars for a fundraiser. He spent $25 on a box of candy bars and sold them for $2 each. His profit (after earning back the $25) was $69, so he used the equation $2c−$25=$69 to find out how many candy bars he sold.
Solve for c.
Answer:
Step-by-step explanation:
2c - 25 = 69
2c - 25 + 25 = 69 + 25
2c = 94
2c/2 = 94/2
c = 47 bars
Answer:
c=47
Step-by-step explanation:
PLZZZZZZZZZZZZZZ HELPPPP
WILL GIVE BRAILIEST
What is the most likely outcome on a chemical reaction in a cell if the shape of an enzyme changes?
A.The enzyme will no longer work with the substrate.
B.The enzyme will be able to bond with a different type of substrate.
C.Different products will result.
D.The substrate can change its shape to match the new enzyme shape.
1) 6 x ( -12 ÷ 2 ) - 62 =
2) 1/6 × 1/2 =
1) 6 x (-12 ÷ 2) - 62
= 6 × 6 - 62
= -26
2) 1/6 × 1/2 = 1/12
Step-by-step explanation:
[tex]\tt{}6 \times ( - 12 \div 2) - 62[/tex]
[tex]\tt{}6 \times ( - 6) - 62[/tex]
[tex]\tt{} - 36 - 62[/tex]
[tex]\tt{} - (36 + 62)[/tex]
[tex]\tt{} - 98 \\ \\ [/tex]
[tex]\tt{} \frac{1}{6} \times \frac{1}{2} [/tex]
[tex]\tt{} \frac{1 \times 1}{6 \times 2} [/tex]
[tex]\tt{} \frac{1}{12} \\ \\ \\ [/tex]
cathleen planned to walk her dog for 3/4 f a mile after it started to rain she decided to only walk 1/2 of that distance what fraction of a mile did cathleen walk her dog
Answer:
Cathleen walked 3/8 mile.
Step-by-step explanation:
Since we are trying to find 1/2 of 3/4, we'll start by converting 3/4 into a form where we can find 1/2, becuase 1.5/4 is not a valid answer.
The simplest form other than 3/4 would be 6/8, we'll get that by multiplying 3 by 2 and 4 by 2. We just need to find half of 6, which is 3. Therefore, Cathleen walked 3/8 mile.
-2 (5x-4)= 8-3x solve for x
Answer:
x=0
Step-by-step explanation:
-2*(5x-4)=8-3x
-2x * 5x -2 * -4= 8 -3x
-10x+8=8-3x
-10x+3x+8=8-3x+3x
-10x+3x+8=8-3x+3x
-7x+8=8-3x+3x+8
-7x+8=8
-7x=8-8
-7x=0
x=0
Answer:
x = 0
Step-by-step explanation:
First, distribute
- 2 (5x - 4) = 8 - 3x
-10x + 8 = 8 - 3x
Next, rearrange the terms
-10x + 8 = 8 - 3x
-10x + 8 = -3x + 8
Then, Subtract 8 from both sides of the equation
-10x + 8 = -3x + 8
-10x + 8 - 8 = -3x + 8 -8
Then, simplify (I'm not gonna show how but if you want me to just let me know)
-10x = -3x
Then, add 3x to both sides of the equation
-10x = -3x
-10x + -3x = -3x + 3x
Then, simplify
-7x = 0
Then, divide both sides of the equation by the same term
-7x = 0
-7x/-7 = 0/-7
Finally, simplify
x = 0/-7
and you'll get
x = 0
Marking as brainliest!!!
Janice and Amiya have 415 beads in all.
Janice has 176 beads.
Siti has 85 more beads than Amiya.
How many beads does Siti have?
Answer:
siti has 324
Step-by-step explanation:
amiya=415-176
=239
siti =239+85
= 324
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
I think its 34.
Step-by-step explanation:
sorry if its not I tried.
Which relation is not a function?
42×63 = dash
please say me the answer
Answer:42x63 =2646
Step-by-step explanation:r u asking whats 42x63?
Use the data in the scatterplot to predict weight after 90 days.
Question 16 options:
A)
5.8 pounds
B)
6.7 pounds
C)
5.3 pounds
D)
4.5 pounds
Answer:
A).
Step-by-step explanation:
Closest looks like 5.8 pounds.
Answer:
A) 5.8 pounds.
Step-by-step explanation:
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answer:
Step-by-step explanation:
what is 572, 198. in words
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
572 = Five hundred seventy two198 = One hundred ninety- eightHope it helps!
Brainliest pls!
Follow me! ♤
Answer:
572 = Five hundred and seventy two.
198 = One Hundred and ninety eight.
Hey can anyone help pls and thank you !
please help thank you
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Average salary of each worker ~
[tex] \$ \: 43000[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
Total Sum of money spend for workers :
[tex] \$ \: 64500000[/tex]
Total number of workers in the company :
[tex]1.5 \times 10 {}^{3} [/tex][tex]1500[/tex]So, average salary per worker will be :
[tex] \dfrac{64500000}{1500} [/tex][tex] \$ \: 43000[/tex]Forty million nine hundred thousand four hundred seven
4947.000.000.000.000
Roses are sold for $19.80 per dozen. To the nearest cent, what is the price per rose?
Answer: $1.65
Step-by-step explanation: 19.80 / 12 = 1.65
Answer:
20
Step-by-step explanation:
8 is near to 10 so +1
I don’t get this type of problem
Answer:
7^6
Step-by-step explanation:
Hope this helps :)
Answer:
7^6
Step-by-step explanation:
Mali ba? sbhin lang HAHAHA