LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.
-(x+1)^2-4=0
Answers
Answer:
Option DStep-by-step explanation:
-(x+1)²- 4 = 0(x+1)² = - 4 x + 1 = ± √-4x = -1 ± 2iCorrect choice is D
Answer:
D
Step-by-step explanation:
Given
- (x + 1)² - 4 = 0 ( add 4 to both sides )
- (x + 1)² = 4 ( multiply both sides by - 1 )
(x + 1)² = - 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )
x = - 1 ± 2i , then
x = - 1 + 2i, x = - 1 - 2i → D
Related Questions
HELP EDCITEE !! PLEASE !!!
Answers
Answer:
75.3074525 dgrees
Step-by-step explanation:
law of sines
29/sin(115 degrees) = 13/sin(B)
==> B = 0.418374736 rad
or 75.3074525 dgrees
Ordena de mayor a menor el siguiente grupo de fracciones y decimales
-2,14; 7/50; -2,41; -11/8; -2,1
Answers
Answer:
-2.41: -2.14: -2.1: -11/8: 7/50
The sum of two numbers is 67. The difference of the two numbers is 41. What are the two numbers.
Let 3 be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 67."
Write an equation that expresses the information in the sentence "The difference of the two numbers is 41."
Solve the system you have written above.
The larger number, 2 is
The smaller number, y is
Answers
Answer:
32
Step-by-step explanation:
Shine has some money in his account.Every Month, he used the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:
Option 4) -$45 per month; the amount of money withdrawn per month
Answers
Answer:
Option 4) -$45 per month; the amount of money withdrawn per month.
Step-by-step explanation:
The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Answers
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answers
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
2. The set {0,1,-1} is closed under the operation of?
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A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?
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Volume=Area is the base • height
Volume=12•15
Volume=180cm^2
Explanation: Since the area of the base is already given, plug in 12 for the base and 15 for the height, then solve. If the area of the base wasn’t given, use the area formula for a triangle (A=(1/2)bh).
Helpppppppppppppp:))))
Answers
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
O 81x² - 12
O x^2 + 25
O 4x^2 – 25
O 9x^2 – 16
O x^2-50
O x^2-81
O x^2-100
Answers
Answer:
81x² - 12, no as 12 is not a perfect square x^2 + 25, no as it is a sum of squares 4x^2 - 25, yes 9x^2 - 16, yes x^2 - 50, no as 50 is not a perfect square x^2 - 81, yes x^2 - 100, yesFind the median and mean of the data set below:
10, 43, 20, 11
Answers
Mean: 21
Find the equation of a line perpendicular to x+5y=−2 that contains the point (3,0).
Answers
Perpendicular Definition:
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.
From the equation below:
[tex] \large{x + 5y = - 2}[/tex]
Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:
[tex] \large \boxed{m = - \frac{A}{B} }[/tex]
From the equation above, use the slope formula to find the slope.
[tex] \large{m = - \frac{1}{5} }[/tex]
Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.
Next we will be using the point-slope form below:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.
[tex] \large{y - 0 = 5(x - 3)}[/tex]
Simplify in the slope-intercept form as we get:
[tex] \large{y = 5x - 15}[/tex]
Answer
y = 5x-15 is perpendicular to x+5y = -2Hope this helps and let me know if you have any doubts!
PLEASE HELP !! WILL MARK BRAINLIEST !!!
Answers
Answer:
5
Step-by-step explanation:
We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent
Now isolate x:
7y=3y+20
7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)
7y-3y=20
4y=20 (simplify)
4y/4=20/4 (divide by 4, division property if equality)
y=5
find the value of x and y in the parallelogram
Answers
Answer:
x=14
y=40
Step-by-step explanation:
A parallelogram is like a rectangle 2 parallel sides are equal.
so x+3=17 and y-2=38
x+3=17
x=17-3
x=14
y-2=38
y=38+2
y=40
Giving out brainliestttt answer !!! help me out?!!!
Answers
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
A stadium's normal ticket price is $78. As a special promotion they offer 15% off. What is the price of the discounted
ticket?
Answers
Answer:
$66.3
Step-by-step explanation:
price of a ticket without discount = $78
discount % = 15%
discount amount = ?
price of a discounted ticket = ?
discount amount = discount% of price of a original ticket
=15/100 * $78
=$1170/100
=$ 11.7
price of the discounted ticket = $78 - $11.7
=$66.3
The discounted price of the stadium's normal ticket is $66.3
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A stadium's normal ticket price is $78 and As a special promotion they offer 15% off.
Therefore, The discounted price of the ticket should be (100 - 15)% = 85% of the original price which is,
= (85/100)×78.
= $66.3 is the discounted price.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ6
What is the x-intercept of the line y = 2x – 10?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
(5,0)
»»————- ★ ————-««
Here’s why:
I have graphed the equation in a program. When graphed, the point crosses through the point (5,0). This means that (5,0) is the x-intercept. See the graph attached below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Can you help me please
Answers
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
how are they the same
Answers
Answer:
Step-by-step explanation:
The ways that they are the same are.
The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5a) Two thirds of the class are freshman
Is it parameter or statistic
Answers
Answer:
parameter
Step-by-step explanation:
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answers
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEE
triangle area ?
Answers
Base is 5. Height is 5 root 3
Multiply then divide by 2
Answer:
A= 21.65063509
Step-by-step explanation:
triangle area is =base*hight/2
Because we have a right triangle we can apply the trigonometric functions
sin30 =base/hypothenuse = base/10
cos 30 = hight/hypothenuse =hight/10
sin30 = base /10 ; multiply both sides by 10
base = 10*sin30
cos 30 = hight /10 ; multiply both sides by 10
hight = 10 cos 30
A= 10*sin30*10*cos30/2 =
100*sin 30*cos 30/2=
50*sin30*cos30 = ; use calculator make sure is set up in degrees
A= 21.65063509
Which system of equations represents the matrix shown below?
Answers
Answer:
c
Step-by-step explanation:
What is an opposite number?
Answers
Answer:
The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.
Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answers
Answer:
D is the answer to the question
4 lemons required to make 6 cups of lemonade
Answers
Answer:
If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade
Step-by-step explanation:
If you simplify 4/6 it would be 2/3
2) What is the probability you roll an odd number on a six-
sided die ?
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answers
Answer:
Table C is the answer
Step-by-step explanation:
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high. In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care. Is there significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Answers
Answer:
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Step-by-step explanation:
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high.
At the null hypothesis, we test if the proportion is of at least 34%, that is:
[tex]H_0: p \geq 0.34[/tex]
At the alternative hypothesis, we test if the proportion is less than that, that is:
[tex]H_1: p < 0.34[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.34 is tested at the null hypothesis:
This means that [tex]\mu = 0.34, \sigma = \sqrt{0.34*0.66}[/tex]
In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care.
This means that [tex]n = 80, X = \frac{23}{80} = 0.2875[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2875 - 0.34}{\frac{\sqrt{0.34*0.66}}{\sqrt{80}}}[/tex]
[tex]Z = -0.99[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2875, which is the p-value of Z = -0.99.
Looking at the Z-table, Z = -0.99 has a p-value of 0.1611.
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Please help quickly I really don’t understand this question and i’m freaking out.
Answers
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...