If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?
Answer:
23x-40
Step-by-step explanation:
(-5x10) (-2x-5)
v
-5(3x+10)-2(4x-5)
v v v v
-15x -50 -8x 10
combine like terms
-15x-8x= 23x ( 2 negatives make a positive)
-50+10= -40
23x-40
I tried using a protractor but i kept getting it wrong? can you help me anyone?
HELP PLZZZZZZZZZZZZZZZ!!!!!!! ASAP
The graph represents the number, in millions, of farmers with small farms in the United States since the year 1935.
Which statement about the exponential function represented on the graph is true?
A.) Initially, there were about 660,000 farmers and the growth rate is positive.
B.) Initially, there were about 660,000 farmers and the growth rate is negative.
C.) Initially, there were about 6,600,000 farmers and the growth rate is positive.
D.) Initially, there were about 6,600,000 farmers and the growth rate is negative.
Answer: The answer is D Alpha
You very welcome alpha
Answer:
D
There were about 6,600,000 farmers and the growth rate is negative
Explain how you can use grouping to make multiplying three factors easier.
Answer:
no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.
what’s 2 miles divided by 3
answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet
A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.
Answer:
The parts are 27 cm and 64 cm long.
Step-by-step explanation:
Let the shorter part be x.
"The longer part is 10 cm more than twice as long as the shorter part."
shorter part: x
longer part: 2x + 10
total length: x + 2x + 10
total length: 91
x + 2x + 10 = 91
3x + 10 = 91
3x = 81
x = 27
2x + 10 = 2(27) + 10 = 54 + 10 = 64
Answer: The parts are 27 cm and 64 cm long.
If he watches all the movies that are 1 3/4 hours long how long will it take
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answer: -3/4
Step-by-step explanation: I'M SMART
Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.
Answer:
2) Exact
3) Exact
4) Exact
5) Approximation
Step-by-step explanation:
If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
what is 02.15cm in meters
Answer:3200
Step-by-step explanation:
When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE
Step-by-step explanation:
He grew 65cm a year??? Omg
I think it is
65cm x 4(years)= 260cm
150.25 + 260= 410.25cm
So, when he was 15 years old he was 410.25cm tall
If you count to 100 by 2, how many numbers will you say?
Answer:
If you start at 0, 51. If you start with 2, 50.
Step-by-step explanation:
The amount of numbers that will be said are simply 100/2 which is 50 since counting by two is the same as the amount of even numbers up to 100. If you start at 0, simply add an additional count, making 51.
Cheers.
what is 143x+4=12 please help
A new zoo is coming to your city and they want to give away prizes. Every 4th customer will receive a panda hat, every 10th customer will receive a giraffe beach towel and every 20th customer will receive a stuffed gorilla. Out of the first 100 people to enter the zoo how many will get all three items?
Answer:
5 people
Step-by-step explanation:
Let's find LCM of 4, 10 and 20:
4 = 2*210 = 2*520 = 2*2*5LCM(4,10,20) =2*2*5 = 20
There are 100/20 = 5 twenties in 100
So every 20th person will get all 3 prizes, in total 5 people
Kyle has $25 and gets a job walking Chihuahuas for $2 per hour. Sophia has $4 and walks Rottweilers for $9 per hour. How many hours will they both have to work to have the same amount of money?
Answer:
3 hours
Step-by-step explanation:
Let k represent Kyle's balance after h hours. Let s represent Sophia's balance after h hours. Then we have ...
k = 25 +2h
s = 4 +9h
We want to find h so that k=s:
25 +2h = 4 +9h
21 = 7h . . . . . subtract 4+2h
3 = h . . . . . . . divide by 7
If both work 3 hours, they will have the same amount of money.
-2(3a^4) simplify using the laws of exponents
Answer:
-6a^5
Step-by-step explanation:
pls give me brainliest
55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest
Answer:
[tex]\frac{965777}{55555}[/tex]
Step-by-step explanation:
The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)
Which of the following expressions are equivalent to this expression: -1(0) = ?
-1[4 + (-4)]
-1[4 + (4)]
1 + [4 + (-4)]
-11-4+ (-4)]
Answer:
a
Step-by-step explanation:
trust
Answer:
A
Step-by-step explanation:
Need help please. Please help me.
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
It's important to note here that fractions are just another way of representing division.
Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].
To divide two fractions, we multiply by the reciprocal.
[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]
We can now multiply the numerators and denominators.
[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]
We can simplify this fraction by dividing both the numerator and denominator by 2.
[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]
So, [tex]\frac{5}{14}[/tex].
Hope this helped!
Andrew is taking a multiple choice test with a total of 80 points available. Each
question is worth exactly 2 points. What would be Andrew's test score (out of 80) if
he got 8 questions wrong? What would be his score if he got x questions wrong?
Answer:
Andrew's test score if he got 8 questions wrong = 64 points
Andrew's test score if he got x questions wrong = 80 - 2x
Step-by-step explanation:
Total points of the multiple choice test = 80
Each question = 2 points
Total questions = Total points of the multiple choice test / 2 points
= 80/2
= 40
Total questions = 40
A. What would be Andrew's test score (out of 80) if he got 8 questions wrong
If he got 8 questions wrong out of 40 questions
= Total question points - wrong question points
= 40*2 - 8*2
= 80 - 16
= 64 points
Andrew's test score if he got 8 questions wrong = 64 points
B. What would be his score if he got x questions wrong?
Test points if he got x questions wrong = Total question points - wrong question points
= (40 * 2) - (x * 2)
= 80 - 2x
Andrew's test score if he got x questions wrong = 80 - 2x
The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the park?
Answer:
2250m^2Step-by-step explanation:
In this exercise, we are going to be converting from cm to m, since we are asked to provide our answers in meters
Given that the scale is 1.0 cm = 4.5 m
let us convert the 10cm to the actual length
1 cm------4.5m
10 cm------x
x= 4.5*10
x= 45m
Also for the 5 cm
1 cm------4.5m
5 cm------x
x= 5*10
x= 50m
Hence the area of the actual rectangular park is
45*50= 2250m^2
What I am really in need of help. If anyone answers this I will award 60 points to anyone!
A gopher begins at 7 inches below the surface of a garden and digs
another 9 inches. Which expression represents this problem? *
7-9
9-7
-7-9
-7-(-9)
-4C - 6 - 3 + 2c - 60 + 15
Answer:
-2x -54 here is the answer
Is the value of these expressions the same?
Explain.
4 x 6 - 4
4 x (6-4)
Answer:
24-4= 20
4×2= 8
Step-by-step explanation:
4 by 6 is 24 minus 4
6-4 is 2 by 4 is 8
Answer:
no
Step-by-step explaination:
first equation: well, you first do 4x6, witch is 24, then you subtract the 4, witch is: 4x6=24, 24-4= 20
second equation: since 6-4 are in bracets, you do that sum first, witch is equal to 2, then you multiply that result by 4, witch is 8, conclusion: (6-4)=2, 2x4=8
answere: 20 deos not equal to 8, so, no.
(sorry if my explaination is bad, im new here)
Which of the following are coplanar??
Answer:
Points T, R and Q are coplanar
Step-by-step explanation:
They are all lying on plane P
Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m
Answer:11.5
Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr
A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tall is the building
Answer:
i think the answer you're looking for is 60
Step-by-step explanation:
24-9=15
45+15=60