hi
(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )
= ( x+5) (x +1)
so
solutions are : x+5=0 so x=-5
x+1= 0. so x= -1
solution are -5 +and -1
Which is the graph of the equation?
(x-1)^2/3^2 + y^2/4^2=1
Answer: C
Step-by-step explanation:
The center is at (1,0). This eliminates all the options except for C.
Factor the polynomial function over the complex numbers.
f(x)=x^3+2x^2+5x+10
Answer:
[tex]{ \tt{f(x) = (x + 2)(x + 2.2i)(x - 2.2i)}}[/tex]
Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0
Answer:
Let 2x + y - 10 = 0 be equation (a).
Let x - y - 5 = 0 be equation (b).
Make y the subject in equation (b):
[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]
Substitute for y in equation (a):
[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]
Find y in any equation of your choice:
[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]
what is six times a number is greater than 12
Answer:
6n>12
Step-by-step explanation:
n represents the number.
So 6 times the number would be 6*n or 6n.
Greater than 12 is >12
I hope this helps!
HELPPPPP MEEEEEEEEEEEEEEEE
Answer:
V = 20,000 - 2,000t
Suppose that you work for a newly restructured automotive company with nearly 100,000 employees. You are in charge of purchasing engines from an overseas supplier. Company policy is that you purchase 500 engines each month to be placed into cars on the assembly line. Your overseas supplier of engines guarantees that no more than 0.9% of the new engines shipped to you will fail a simple electrical test. To check out the monthly shipment of the 500 engines you randomly select and test 50 of these engines, and you find that 1 is defective. Do you think that the supplier has met the guarantee
Answer:
The p-value of the test is 0.0764 > 0.05, which means that there is not enough evidence to reject the null hypothesis that the proportion is of at most 0.009, and thus we can conclude that the supplier has met the guarantee.
Step-by-step explanation:
Your overseas supplier of engines guarantees that no more than 0.9% of the new engines shipped to you will fail a simple electrical test.
At the null hypothesis, we test if the proportion is of at most 0.9% = 0.009, that is:
[tex]H_0: p \leq 0.009[/tex]
At the alternative hypothesis, we test if the proportion is of more than 0.009, that is:
[tex]H_1: p > 0.009[/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.
0.009 is tested at the null hypothesis:
This means that [tex]\mu = 0.009, \sigma = \sqrt{0.009*0.991}[/tex]
50 of these engines, and you find that 1 is defective.
This means that [tex]n = 50, X = \frac{1}{50} = 0.02[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.02 - 0.009}{\frac{\sqrt{0.009*0.991}}{\sqrt{50}}}[/tex]
[tex]z = 1.43[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.02, which is 1 subtracted by the p-value of z = 1.43.
Looking at the z-table, z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
The p-value of the test is 0.0764 > 0.05, which means that there is not enough evidence to reject the null hypothesis that the proportion is of at most 0.009, and thus we can conclude that the supplier has met the guarantee.
6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ
where ℎ() = ( − 4) + 2?
Answer:
(7,-8)
Step-by-step explanation:
Given
(x,y) = (3,-10)
Required
The equivalent point on h(x) = k(x - 4) + 2
(x,y) = (3,-10) means
k(3) = -10
Substitute 7 for x in h(x)
h(7) = k(7-4) + 2
h(7) = k(3) + 2
Substitute -10 for k(3)
h(7) = -10 + 2
h(7) = -8
So, the equivalent point on h(x) is
(7,-8)
What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9
Answer:
A. log9 3=x
Step-by-step explanation:
The logarithmic form with base 9 is log₉ 3 = x.
The correct option is A.
The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.
The logarithmic form with base 9 is log₉ 3 = x.
Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.
The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).
In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.
Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.
To learn more about the logarithms;
brainly.com/question/28346542
#SPJ6
Find the measure of the indicated angle.
Answer: 88 - 180 =? ÷2
Step-by-step explanation:
Complete the table by determining the appropriate pair of integers whose product and sum are listed. [1 mark each]
Answer:
This shows that the required numbers are 2 and 4 for the first column
This shows that the required numbers are 3 and 7 for the third column
Hence the two numbers are -1 and -3 for the third column
Step-by-step explanation:
From the taken, we need to find two numbers whose their product will give 8, 21 and 3 and their sum will give 6, 10 and -4 respectively
If the product is 8 and sum is 6, then the required values area;
[tex]Product = (2\times 4) = 8\\Sum = (2 + 4) = 6\\[/tex]
This shows that the required numbers are 2 and 4 for the first column
Similarly for the second column;
[tex](7 \times 3) = 21\\(7 + 3) = 10[/tex]
Hence the two numbers are 7 and 3 for the second column
Similarly for the third column;
[tex](-1 \times -3) = 3\\(-1 + (-3)) = (-1-3) = -4\\[/tex]
Hence the two numbers are -1 and -3 for the second column
Solve The Inequality
Answer:
Step-by-step explanation:
Answer is c
Sam buys a carpet for his apartment. The diagonal length of the carpet is 12 feet and the width is 10 feet. Find the length of the carpet.
Answer: 6.633 Feet
Step-by-step explanation:
99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219
Answer:
C
Step-by-step explanation:
99+60=159.
159+60=219
219+60=279
How do i get X? i cant quite figure it out
Answer:
x is 90° I hope it will help you please follow me
Answer:
My answer came 78°
Step-by-step explanation:
First, B and C are alternate angles so,
71°= y (let) + 29°
Y= 42°
Then, X + 42 + 60 = 180°
X = 180 - 102
X = 78 °
Hope this helps. :)
Help would be greatly appreciated
Answer:2/pi
Step-by-step explanation:
First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.
Who can help me with problem 2 you can earn 11 points
Answer:
m∠ADC = 90°
5x-5 = 90
x = 19
Step-by-step explanation:
Can someone help me with this. Thx
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{ x=5~and~y=-5 }} }[/tex]
need some help with this
Answer:
soy de ecuador p-by-step e
Circle A: center (-4, 0) and radius 6
Circle B: center (11, 0) and radius 4
Which of the following transformation is performed from circle A to circle B?
Answer:
Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.
Please show work
Determine the value of each variable
9514 1404 393
Answer:
k = 56°
Step-by-step explanation:
If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...
2b +a = 180°
from which we get ...
a = 180° -2b
b = (180° -a)/2
__
The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.
The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.
k = 56°
_____
We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.
The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.
square of (1\4A+1\4B)^2
Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?
Answer:
Below in bold.
Step-by-step explanation:
a. This is the Lowest common multiple of 30 and 40 which is
120 seconds.
b. In 120 seconds Abram had completed 120/40
= 3 laps.
c. Joshua completed 120/30 = 4 laps.
Answer:
Step-by-step explanation:
A, Lowest common mutiple of 30 and un is 120 seconds
(40x3 = 120, 30x4 = 120)
6.120/40 = 3 laPs Abram did 3 laps.
L. 120/30 = u laPs Jeshya did u laps
multiply x2- 5x + 2 times 3x2 +2x + 3
Answer:
Step-by-step explanation:
(x² - 5x + 2)*(3x² + 2x + 3) =x²*(3x² + 2x + 3) - 5x *(3x² + 2x + 3) + 2*(3x² + 2x + 3)
=x²*3x² + x²*2x + 3*x² - 5x *3x² - 5x * 2x - 5x*3 +2*3x² + 2*2x + 2*3
= 3x⁴ + 2x³ + 3x² - 15x³ - 10x² - 15x + 6x² + 4x+6
= 3x⁴ + 2x³ - 15x³ +3x² - 10x² + 6x² -15x + 4x + 6
= 3x⁴ - 13x³ - 7x² - 11x + 6
When multiplying terms, multiply the coefficients and if same variables are there, then add the powers.
I needddd help it’s urgenttttt!!!!
What is this expression in simplified form?
3v3.676
A.
5472
B.
54
C.
18V3
D.
1872
Answer:
The answer is A. 54 (sqrt)2
Step-by-step explanation:
What is the value of c
Answer:
if im not mistaken its 121
Step-by-step explanation:
Answer:
99°
Step-by-step explanation:
The interior angle sum of any 5 sided polygon is 540°.
540-53 = 487 - 137 = 350 - 105 = 245- 146 = 99°
in a survey of a group of people, showed that,45 liked lassi,40 liked juice,60 liked curd,10 liked juice as well as lassi,25liked lassi as well as curd,20 liked juice as well as curd n 5 like all three.how many people were asked this question? solve by drawing the venn diagram.
let L,J and C be lassi , juice, and curd respectively
PLEASE HELP!! would this be symmetric or reflexive property?
Answer: It's "reflexive" because the equation is equal on both sides
Step-by-step explanation: The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)
Hope this helped!!
evaluate the expression when x=11 and y=35 x+y/7
when x= 11
or,y= 35x +y/7
or,y= 35×11+y/7
or,y=(385×7+y)/7
or,7y=2695+y
or,7y-y =2695
or,y=2695/6
or, y = 449.167
Choose the graph that correctly corresponds to the equation y = −4
Answer:
e
Step-by-step explanation:
the graph should look something like this
