9514 1404 393
Answer:
2 complex roots2 positive real roots0 negative real rootsStep-by-step explanation:
The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.
Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.
For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).
The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.
2 complex roots2 positive real roots0 negative real roots_____
The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i
If ABC has vertices A (3,-1), B (2, 1), and C(5,3), find vertices of its image A'B'C'
after dilation with a scale factor of 2 about the origin.
OA) A (3/2, 1/2), B'(1,1/2), C'15/2,3/5)
OB) A 16, -2), B'(4,2), C (10, 6)
OC) A (6,2), B (4, 2), C'(10, 6)
OD) A (6,2), B (2, 2), C'(10, 6)
Answer:
d
Step-by-step explanation:
The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
ABC has vertices A (3, -1), B (2, 1), and C(5, 3).
Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,
A' = 2 × (3, - 1)
= (6, - 2)
B' = 2 × (2, 1)
= (4, 2)
C' = 2 × (5, 3)
= (10, 6)
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
PLZZZZZZZ HELP ASAP!!!!!!!!! In a negative feedback loop, the initial signal is:
Question 15 options:
remains unchanged
canceled out
amplified to a climax
Answer:
Remains unchanged
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a negative feedback loop, the product of the loop inhibits whatever initiated the loop, preventing more product from being formed.
This is in contrast to a positive feedback loop, where the product of the loop further stimulates whatever initiated the loop, resulting in even more product being formed.
Two stores are having a sale on the
same dress. One store is offering
30% off the regular price of $82.40.
The other store is offering 20% off
the regular price of $63.60.
What is the difference between the
sales prices of the two stores?
DONT ANSWER IF U DONT KNOW.!
Answer:
6.8
Step-by-step explanation:
30% of 82.40 = 24.72
20% of 63.60 = 12.72
--------------------------------
82.40 - 24.72 = 57.68
63.60 - 12.72 = 50.88
57.68 - 50.88 = 6.8
Answer:
6.8
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
[see below]
Step-by-step explanation:
[tex]w=5(3a-b)+2\\\\w-2=5(3a-b)+2-2\\\\w-2=5(3a-b)\\\\\frac{w-2=5(3a-b)}{5}\\\\\frac{w-2}{5} =3a-b\\\\\frac{w-2}{5} +b=3a-b+b\\\\\frac{w-2}{5} +b=3a\\\\\frac{\frac{w-2}{5} +b=3a}{3}\\\\ \frac{w-2+5b}{15}=a\\\\ \boxed{a= \frac{w-2+5b}{15}}[/tex]
Hope this helps.
What is the slope-intercept form of the equation of the line that passes through the points (-3, 2) and (1,5)?
Answer:
y= 3/4x+17/4
Step-by-step explanation:
You're welcome :)
is 1/5-x equivalent to x-1/5
14/27 divided by 2/3 soo can someone help me and maybe give me the answer
Answer: 9/7
Step-by-step explanation:
Solve for r in the proportion.
Answer:
r=15
Step-by-step explanation:
Cross Multiply:
10 x 6= 60 and 4 x r= 4r
Now Divide By 4 On Both Sides:
60=4r
60/4=15
Therefore, r=15
For the following square, find the value of x after that Find the length of each side of the square above. Be sure to label your answer and then Find the perimeter of the square above. Make sure to label your answer Please i need help fast or else im gonna fail my class please take this seriously.
Answer:
x = 9 ; 39 in. ; 156 in.
Step-by-step explanation:
Because it is a square, we know that all 4 sides are equal to each other.
This means we can take the two expressions and equal them to each other.
4x + 3 = 3(2x - 5)
4x + 3 = 6x - 15
-2x + 3 = -15
-2x = -18
x = 9
Now that we know the value of x, we can substitute it in to find the side length.
4(9) + 3
36 + 3
39 in.
Therefore, each side of the square is 39 in.
Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.
p = 4(39) = 156 in.
Therefore, the perimeter of the square is 156 in.
(-6,7)(4,-8) find slope
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Solve for: [tex]3x-27=-6[/tex]:
✺ Add [tex]27[/tex] to both sides:
[tex]3x=-6+27[/tex]
✺ Add [tex]-6[/tex] and [tex]27[/tex] to get [tex]21[/tex]:
[tex]3x=21[/tex]✺ Divide both sides by [tex]3[/tex]:
[tex]x=\frac{21}{3}[/tex]✺ Divide [tex]21[/tex] by [tex]3[/tex] to get [tex]7[/tex]:
[tex]\boxed{x=7}[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
Add the two complex numbers 6 + 7i and 10 + 2i
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello~}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
1.) [tex]6+7i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]6+7i[/tex] is:
[tex]\sqrt{85}[/tex] ≈ [tex]9.219544457[/tex]2.) [tex]10 + 2i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]10 + 2i[/tex] is:
[tex]2\sqrt{26}[/tex] ≈ [tex]10.198039027[/tex]3.) [tex]6+7i+10 + 2i[/tex]:
✺ Combine the real and imaginary parts in [tex]6+7i+10+2i[/tex]:
[tex]|6+10+(7+2)i|[/tex]✺ Do the additions in [tex]6+10+(7+2)i[/tex]:
[tex]|16+9i|[/tex]✺ Solve the complex modulus using the formula:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]16+9i[/tex] is:
[tex]\sqrt{337}[/tex] ≈ [tex]18.357559751[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
A package of 5 pairs of insulated gloves costs $35.95 What is the unit price of the pairs of gloves?
Answer:
$7.19 a pair
Step-by-step explanation:
35.95/5 = 7.19
Answer:
$7.19
Step-by-step explanation:
$35.95 / 5 = $7.19
The following are trinomial EXCEPT.
A. x+7 B. 5x²+2x-7
C. 7x³+2x+5 D. 7x⁴+3x-9
Answer:
A)
Step-by-step explanation:
Trinomial expression had 3 terms. Here x + 7 has only 2 terms. So, it is not a trinomial
Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer fast!!!!! Plssssss
Answer:
i think the answer would be Brayden
Step-by-step explanation:
The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?
Given:
Length of a rectangular monitor screen is 5 in more than it's width.
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
To find:
The length and width of the screen.
Solution:
Let width of the screen be x inches.
Length of a rectangular monitor screen is 5 in more than it's width. So,
Length of screen = (x+5) inches
Area of screen is
[tex]Area=length\times width[/tex]
[tex]A_1=(x+5)\times x[/tex]
[tex]A_1=x^2+5x\text{ in}^2[/tex]
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
New length = 2(x+5) inches
New width = (x-1) inches
So, new area is
[tex]A_2=2(x+5)(x-1)[/tex]
[tex]A_2=(2x+10)(x-1)[/tex]
[tex]A_2=2x^2+10x-2x-10[/tex]
[tex]A_2=2x^2+8x-10 \text{ in}^2[/tex]
Area increased by 170 in².
[tex]A_2-A_1=170[/tex]
[tex](2x^2+8x-10)-(x^2+5x)=170[/tex]
[tex]2x^2+8x-10-x^2-5x=170[/tex]
[tex]x^2+3x-10=170[/tex]
Subtract 170 from both sides.
[tex]x^2+3x-10-170=0[/tex]
[tex]x^2+3x-180=0[/tex]
Splitting the middle term, we get
[tex]x^2+15x-12x-180=0[/tex]
[tex]x(x+15)-12(x+15)=0[/tex]
[tex](x+15)(x-12)=0[/tex]
[tex]x=-15,12[/tex]
Width cannot be negative. So, x=12.
Width = 12 inches
Length = 12+5 = 17 inches
Therefore, the length of screen is 17 inches and width is 12 inches.
In the table, x represents minutes, and y represents the altitude of an airplane.
Altitude of an Airplane
Minutes, x
Altitude in feet, y
15
22,500
20
20,000
25
17,500
30
15,000
Which statement is correct about the slope of the linear function that the table represents?
Answer:
100% d
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Solve for x: -2x – 7 = 3
Answer:
x=-5
Step-by-step explanation:
-2x=3+7
or,-2x=10
or,x=-10/2
x=-5
Answer:
x = -5
Step-by-step explanation:
Add 7 to each side, so it now looks like this: -2x = 10Divide each side by -2 to cancel out the -2 next to x. It should now look like this: x = -5I hope this helps!
NEED YOU GUYS HELP ONCE AGAIN!!
Answer:50
Step-by-step explanation:
The weight of a person in pounds.
1293
Answer:
if 1293 is ounces, 80.8125 would be lbs !!
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
(4)^2(−3)^4/ 2^6
what's 4 to the second power times -3 to the 4th power divided by 2 to the 6th power.
Answer: no idea
Step-by-step explanation:
LLLLLLLLLOOOOOOOOOOLLLLLLLLLLLLLLLL
distance between (-1,-1) and (-4,1)
Are the triangles similar?
And why?
Answer:
No
Step-by-step explanation:
The first triangle is smaller and the second one is bigger. The first is 60 degrees and the second is about 89. (Maybe, ask your parents. I'm not quite sure of the angles.)
Sarah jumps rope to keep in shape. She jumps an average of 20 times in 15 seconds. Which of these describes her jumping rate?
- 60 jumps per minute
- 60 minutes per jump
- 80 jumps per minute
- 80 minutes per jump
give a numerical example that shows these are not the same expressions. 2(n+5) and 2n+5
Answer:
The two are different expressions because when you distibute, you multiply all terms inside the parenthesis with the 2 in the first one: 2(n+5) = 2n + 10.
2n + 10 ≠ 2n + 5.
Step-by-step explanation:
Answer: Any number that isn’t 1, 2, -1, or -2 I believe.
Step-by-step explanation: In the first expression, you have to distribute the 2, making it equal to 2n + 10, whereas the first is just 2n + 5.
For example if you were to plug the number 3 into this, you would have 2(3+5), which is 2(8) = 16. Versus the other side, 2(3)+5 = 11
I need help ASAP!!! The entire question is right here.
Answer:
R1. Given
R2. Subtraction Property of Equality
R3. Distributive Property
S4. 9x = 61
R5. Division Property of Equality
Please helppppp!!!!!
Help please!!! 20 points
Answer:
I have no idea sorry
Step-by-step explanation:
??????????????????????????
Answer:
Seconds in second row: 48Glasses in third row: 11Step-by-step explanation:
Answer for seconds in second row:
Set up a proportion: [tex]\frac{5}{20} = \frac{12}{x}[/tex] Cross multiply, then divide: 20 × 12 = 240, 240 ÷ 5 = 48Answer for glasses in third row:
Set up a proportion: [tex]\frac{5}{20} = \frac{x}{44}[/tex] Cross multiply, then divide: 44 × 5 = 220, 220 ÷ 20 = 11I hope this helps!
(x²+7x+10) =
whats the answer help me plsss:(
Answer:
(х+2)(х+5)
Step-by-step explanation:
easy, just train quadratic equations ;)
Solve the equation for the given variable.
2(x + 6) = 8