Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False
Answer:
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
False
IAI > 0
False
A>B
true
Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
How much interest has been earned?
Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u
Step-by-step explanation:
https://www.wyzant.com/match
write 1000 as a product using 10 as a factor
Answer:
-
Step-by-step explanation:
Answer:
The answer is right here for you!
Here it is:10x100
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
hi can someone help me with this problem!!
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistFind the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
Add -13 + 5. 8 -8 -18 18
PLZ HELP WITH BOTHHHHH
Answer:
(5,2)
(6,-6)
Step-by-step explanation:
4x-2=18x+5
Show ur work
Step-by-step explanation:
[tex]4x - 2 = 18x + 5[/tex]
Collect like terms and simplify
[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]
Divide both sides of the equation by 14
[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]
Answer:
x = -1/2
Step-by-step explanation:
4x-2=18x+5
-2-5=18x-4x
-7=14x
-7/14=14/14x
-1/2=x
enter the range of values for x:
12x because you multiply it
What is 7x-4(3x-2)=18
A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be
Answer:
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answer:
it will be 736 speed faster than
What is the value of (-1/4 - 1/2) ÷ (-4/7)
Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
Parentheses first
Get a common denominator
(-1/4 - 1/2 *2/2)
(-1/4 - 2/4)
-3/4
Replace in the equation
(-3/4 ) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
1 5/16
[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]
[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]
I need to make n the subject
hope it's helpful
THANK YOU
Solve for x.
(2x - 5°
(5x + 10)
B
A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
It is 9n - 7p + 5q
Step-by-step explanation:
Perimeter formular:
[tex]perimeter = (side + side + side)[/tex]
substitute:
[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]
group like terms together:
[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]
Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
What number should be added to 2/8 to -1/12 get ?
Answer:
-1/3
Step-by-step explanation:
this is the best answer
