Answer:
d= 4
Step-by-step explanation:
What are the solutions of x2 - 2x + 10 = 0 ?
Answer:
Step-by-step explanation:
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
−
2
+
1
0
=
0
x
2
−
2
x
+
10
=
0
x2−2x+10=0
=
1
a
=
1
a=1
=
−
2
b
=
−
2
b=−2
=
1
0
c
=
10
c=10
=
−
(
−
2
)
±
(
−
2
)
2
−
4
⋅
1
⋅
1
0
√
2
⋅
1
x
Answer:
C. x=1+3i, x=1-3iStep-by-step explanation:
[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]
Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)
Answer:
x-1
MARK ME BRAINLIEST PLSPre college need help
Answer:
No
Step-by-step explanation:
Substituting into both equations proves that the second equation does not work for the ordered pair provided
Answer:
No
Step-by-step explanation:
2+(-5)=3
4(2)+3(-5)=-7
❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)
The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]
Functions and equationGiven the following function as shown:
[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]
This can be factorized as:
[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]
Cancel out the common terms:
[tex]f(x) = \frac{x+3}{x}[/tex]
Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\
Learn more on functions here: https://brainly.com/question/10439235
Hi Phoenix! :)
I'm much late lol.
Answer:
[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]
Step-by-step explanation:
Given:
[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]
Solution:
[Here the best option is to factorise the expression.]
Rewrite the numerator of the expression as
[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]
It can be seen that the numerator is like an algebraic identity:
> a² - b² = (a+b)(a-b)
ATP, numerator : a = x² and b = 3²
[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]Now in the denominator take x common:
[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex](x-3) in the denominator and (x-3) in the numerator gets canceled.
[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]Welp,Done, that's it! :D
You get brainist plz
Answer:
54
Step-by-step explanation:
54
A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?
Answer:
Step-by-step explanation:
So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?
We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.
Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?
The number of hours Jeremy spent in the air is 16 hours.
How to find the number of hours he spend in the air?He flew 8 times last week for work.
Each flight was two hours long.
Therefore, each flight, he spends two hours in the air.
Now he took this two hours flight for 8 times.
Therefore, the number of hours he spend in the air can be calculated as follows:
number of hours spent in the air = 8 × 2
number of hours spent in the air = 16 hours
Therefore, he spent 16 hours in the air.
learn more on hours here: https://brainly.com/question/14093155
#SPJ1
Please take a look at the picture
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔
[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]
A. [tex]x - ( - x) = -x[/tex]
Let us first solve for L. H. S.
We have,
[tex]x - ( - x)[/tex]
[tex] = x + x[/tex]
[tex] = 2x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option A is incorrect.
B. [tex]0 - ( - x) = - x[/tex]
Solving for L.H.S. , we have
[tex] = 0 - ( - x)[/tex]
[tex] = + x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option B is ruled out too.
Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].
ASAP
which of the following values of 'x' is the equation 4(x-2)-3x
= x +2 true?
A. -1
B. All Real Numbers
C. The equation has no solution
D. 3
E. 2
Answer: A
Step-by-step explanation:
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
In a school there are 200 boys and 800 girls. Find the percentage of girls in that school.
Answer:
80% girls.
Step-by-step explanation:
20% boy.
80%+20%= 100%
A farmer had 21 goats all but 9 died how many survive ?
Answer: 12
Step-by-step explanation:
Answer:
it would be 9
Step-by-step explanation:
All but nine died means "everything except nine goats died"
All 12 goats died.
A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?
Answer:
66
forty-four times 1.5 equals 66
Order the following numbers from least to greatest: -5.6, -1.25, -7.8,9
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
Answer:
33.33%
Step-by-step explanation:
1) A very lucrative savings account earns 2.8% annual interest, compounded monthly. It is currently worth $10,427.39. How much was it worth a year and a half ago?
926+729299277=5289+83783
For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?
Answer:
proportion of ratio will be used
Answer:
C. 1 4/10 + 9/10 + 6/10
got it right
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1 is 12
2 is 106
3 is 42
Step-by-step explanation:
1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12
2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106
3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42
3x + 5.5 < 20.5
please help
Answer:
x < 5
Step-by-step explanation:
[Given] 3x + 5.5 < 20.5
[Subtract 5.5 from both sides] 3x < 15
[Divide both sides by 3] x < 5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
evaluate the expression when c=-3/4 and x=2/3
c-2x
Answer:
-2.0833333333333333333
Step-by-step explanation:
I used demos scientific
Who is the general information of accounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
& Cassandra took 87 pads from Louie. Louie now only has 15 left. Mr. Flynn doesn't like ipads.
How many did Louie have BEFORE Cassandra took some?
9514 1404 393
Answer:
102
Step-by-step explanation:
87 more than 15 is ...
15 +87 = 102
Louie had 102 iPads before Cassandra tool some.
The Bruce family set out 8 0’clock in the morning. They arrived at the old port of Ambertini at 09:05. How long their journey took?
pls
Answer:
1hr 5 minutes
Step-by-step explanation:
9hrs 5mins-8 hrs=1 hr 5 mins
mark me brainliest plz if you are helped
what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)
Answer:
-9
Step-by-step explanation:
2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)
2.6×10^-2 = 2.6×10^(7-n)
The mantissas are equal, so we can equate the exponents:
-2 = 7 -n
n = 7 +2 = 9 . . . . . . add n+2
The value of n in the equation is 9.
Help me pls it's hard :(
Answer:
[tex]\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}[/tex]
hitsss
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.
Testing the hypothesis using the z-distribution, it is found that the statement is False.
At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.
Looking at the z-table, z = -1.5 has a p-value of 0.0668.
Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.
A similar problem is given at https://brainly.com/question/16695704
Which mixed number is represented by the shaded
area?
0 1 1/4
0 1 3/4
0 2 1/4
0 2 3/4
Hurry up plz I’m being timed
the answer to the question is 11/4
the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k
Step-by-step explanation:
What do you mean "no real roots" ?
if I understand correctly we have
2x² + 5kx + k = 0
the solutions for such a quadratic equating are
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 2
b = 5k
c = k
so, we get
x = (-5k ± sqrt(25k² - 8k))/4
why would that have no real solutions ?
e.g. k = 2
x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4
since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.
I don't understand what your need here.
helpppp pleaseeeee✋
Answer:
5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9
Step-by-step explanation:
Answer:3,8,3/2
Step-by-step explanation:
1) 5*x=15
X=15/5=3
2) 4*x=32
X=32/4=8
3)
6*x=9
X=9/6=3/2