Answer:
Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].
Step-by-step explanation:
The polynomial [tex]x^{2}+11\cdot x + 30[/tex] is a polynomial of the form [tex]x^{2} - (r_{1}+r_{2})\cdot x + r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the roots of the polynomial. Then, we find the following system of equations:
[tex]-r_{1}-r_{2} = 11[/tex] (1)
[tex]r_{1}\cdot r_{2} = 30[/tex] (2)
After some algebraic handling, the solution of this system is [tex]r_{1} = -5[/tex] and [tex]r_{2} = -6[/tex].
Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].
Type the correct answer in the box.
log +log -10823= log
Answer:
log 7
Step-by-step explanation:
Using the rules of logarithms
log x + log y ⇔ log (xy )
log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )
Given
log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )
= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )
= log[tex]\frac{154}{22}[/tex]
= log 7
Admits bank charges $5.75 fee every month that his account balance is below a certain amounts. Amit writes the equations (-5.75)x7=40.25 to represent how much his account balance changes after 7 months of fee
Are the ratios 2:1 and 12:7 equivalent?
Answer
A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent ratios.
Hope this helps you ;]
Step-by-step explanation:
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
find the measure of one interior angle for a regular 14-gon
Answer:
Step-by-step explanation:
The sum of the interior angles of a 14-gon = (14-2)*180 = 2160 degrees. There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. 2160/14 = 154.285 degrees
hope it helps :)
please help .........
Answer:
+10
Step-by-step explanation:
Answer:
1:10
Step-by-step explanation:
Look closely at the numbers
3/30 = 1/10
5/50 = 1/10
7/70 = 1/10
The answer is 1/10 or 1:10
Someone plz help me ASAP
Answer:
best song in the world is baby Shark
5000 at 9% for 4 years. pls help me
Answer:
$5,024
Step-by-step explanation:
Find the lateral surface area of the triangular prism.
A) 420 cm2
B) 480 cm2
C) 540 cm2
D) 620 cm2
Answer:
620
Step-by-step explanation:
other dood is wrong lol i did the math and took the test AND got it right
The lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.
It is required to find the lateral surface area.
What is the lateral surface area?It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.
We know that,
The lateral surface area of triangular prism = perimeter of the
base×height
= (a + b + c ) × h
We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.
Putting these values in the above formula, we get:
[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]
Thus, the lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
Learn more about the lateral surface area here:
https://brainly.com/question/14001755
PLEASE HELP 20 POINTS AND BRAINLEST PLEASE
- Meredith is
feet shorter than her friend
3
Tucker. If Meredith is 5 feet tall, how tall is
Tucker?
Answer: 8 ft
Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.
Answer:
Tucker is 8 feet tall.
Step-by-step explanation:
if she's 3 feet shorter then just add 3 feet to her normal height.
Find the lengths of AC and BC, and find the measure of angle B.
please help :)
Answer:
I know that the angle is 57
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!!
Answer:
A) 80 degrees
Step-by-step explanation:
100-20=80
40. In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth
TOW
α
= 31
Ν
27
Δ.
ΠΟΔΔ/
ΠΟΠΟΔ - ?
24
Answer:
This does not explain
Step-by-step explanation:
...
Answer:
26
Step-by-step explanation:
With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27
So I put in the numbers in place of the square and circle:
5+7+7+⛛+⛛ = 27
5+7+7 = 5+14=19
27-19=8
So now we know that 2⛛=8
So I did 8 ÷ 2 = 4. ⛛=4
So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5
Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?
Translating into: 5 + 5 + 5 + 7 + 4 = 26
So our final answer is 26.
What is the measure of arc QSR?
Answer:
250°
Step-by-step explanation:
Answer:
250
Step-by-step explanation:
I did it
A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans? Show your work to receive full credit
I NEED HELP ON THIS!!!!!
#1 Find the unit price of each and decide which is the better buy. Hint: money divided by the amount
12 lb bag of Piper’s pepperoni pieces for $4.99
18 lb bag of Nora’s nummy nuggets for $6.20
#2 Write an integer that represents “a deposit of $65”. \
#3 if you answer correctly I will give you 5 stars!
find the value of given expression
[tex] \sqrt{66 \times 66} [/tex]
Answer:
[tex] \sqrt{66 \times 66} = 66[/tex]
Answer:
66 is the exact value of the expression
Step-by-step explanation:
1.) y + 3 > 7 what’s the answer?
Answer:
Yes you are right it is option 4
Step-by-step explanation:
Answer:
Option 4
Step-by-step explanation:
By it has to be greater than 4 so it would be above it
Given the following exponential function: y
300(1.08)
What is the starting value?
What is the percent increase?
Answer:
Znhh
dlph is go pp pap iz clicker party calls X appraisal stock
Step-by-step explanation:
ha go ricksha symbiosis also jaldiFind two numbers whose sum is 28 and whose difference is 13
If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6
Answer:
[tex]b = 6[/tex]
Step-by-step explanation:
Given
[tex]0<b\le 90[/tex]
[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]
Required
Find b
To solve this, we make use of the following trigonometry rule:
If [tex]\cos(\alpha) = \sin(\beta)[/tex]
Then: [tex]\alpha + \beta = 90[/tex]
So:
[tex]11b + 2 = 12b - 4[/tex]
Collect like terms
[tex]11b - 12b = - 4 - 2[/tex]
[tex]-b = - 6[/tex]
Multiply both sides by -1
[tex]b = 6[/tex]
What equation matches the graph?
A. y=3/2x +1
B.y=1/3x +1
C. y=1/2x + 1
D. y=3/2x + 1
if you run 2 1/2 miles each day how far are you going
Answer:
2 1/2 miles
Step-by-step explanation:
my teacher
If a town with a population of 1,000 doubles in size every 46 years, what will the population be 92 years from now?
Answer:
3,000 or 2,000 depends of where it starts at zero or 1,000
Step-by-step explanation:
please help asp please
Answer:
C) 76 cm²
Step-by-step explanation:
area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²
another way is:
area = 1/2(b1 + b2)(h)
area = 1/2(11 + 8)(8) = 76 cm²
Answer:
76
Step-by-step explanation:
Hello There!
The area can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
we need to find the height before we can find the area
the shape was split into a triangle and a square
because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm
now we plug in the known information into the formula
[tex]A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76[/tex]
so we can conclude that the area of the trapezoid is 76 square centimeters
Moe painted the lid of a barrel. The circumference of the lid is 32 inches. Which
measurement is closest to the area of the lid in square inches?
Answer:
A ≈ 81.487 in²
Step-by-step explanation:
We know that circumference is C = 2πr, where r is the radius.
So,
C = 2πr
32 = 2(3.14)r
[tex]r=\frac{32}{2(3.14)}[/tex]
r ≈ 5.093 in
We also know that the formula for the area of a circle is A = πr², so:
A = πr²
A = (3.14)(5.093)²
A ≈ 81.487 in²
area of this question?
Answer:
The answer is 165
Step-by-step explanation:
If I'm wrong I'm sorry
What does 2x-9=7x-44
Answer:
Isolate the variable by dividing each side by factors that doesn't contain the variable.
Exact form: x = 154/9
Decimal form: x = 17.1
Mixed number form: x = 17 1/9
Step-by-step explanation:
hope that helps...
have a good day
A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125125125 tea-drinking employees which they prefer: green tea or black tea.
Complete question :
A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...
What is an appropriate way for Dr. Huber to finish his null hypothesis?
A. ...equal to 30%
B. ...less than 30%
C. ...greater than 30%
D. ...not equal to 30%
Answer:
A. ...equal to 30%
Step-by-step explanation:
Given the incomplete hypothesis statement for the Null ;
The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30
The alternative hypothesis on the other side is the opposite statement or hypothesis.
can someone give me the answer to this !
Answer:
9
Step-by-step explanation:
Answer:
there are nine teachers
Step-by-step explanation: