Write -7/10 as a decimal.
The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$
Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
( ALSO ANOTHER QUICK ONE)
There are 100 students and 5 teachers going on a field trip. Each bus can hold a maximum of 40
people. What is the fewest number of buses required for the field trip?
Answer:
So if you Divided the number of students to the number of the teachers you will have 19 students to each one teacher which means:
Step-by-step explanation:
100÷5=20 ( 19 students & 1 teacher )
science each bus can hold a maximum of 40 people.
100 = 20 20. 20. 20. 20
20 + 20 = 40 ( first bus )
20 + 20 = 40 ( second bus )
last 20 alone ( third bus )
The final answer is the fewest number of buses required for the field trip is 3 buses.
Please help and you will get brainliest!!
Determine the range of the following graph:
Please answer quick. I only have 2 minutes to answer each question. Please!!!
Answer: (1, 8]
Step-by-step explanation:
The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
-7(6x+7)=-133
show work
Answer:
multiply -7 by 6x and then multiply-7 by 7
-7(6x)-7(7)
-42x-49=-133
+49. +49
the 49 cancel out
-42x=-84
divide both sides by -42
-42x/-42=-84/-42
the -42 cancel out
leaving x=2 the negatives cancel out making it positive
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
Find all the real zeros of the function : h(x) = -2 (x²+16) (x²-9)
larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents the number of hours ,x, jamal must work each week
Answer:
1x
Step-by-step explanation:
4x x 6x
The wolf population of a park was 200 in the year 2000. It increased by 20% from 2000 to 2005. It then increased by 15% from 2005 to 2010. What was the wolf population in the park in 2010?
Answer:
Population 2010= 276
Step-by-step explanation:
Giving the following information:
Population 2000= 200
It increased by 20% from 2000 to 2005.
It then increased by 15% from 2005 to 2010.
First, we need to calculate the population in 2005:
Population 2005= 200*1.2
Population 2005= 240
Now, for 2010:
Population 2010= 240*1.15
Population 2010= 276
Solve the simultaneous equations:
5x + 3y = 9
7x - 2y = 25
x=__
y=__
Answer:
x= 3, y= -2
Step-by-step explanation:
5x+3y= 9
x= 25÷7 + 2÷7 y
5(25÷7 +2÷7 y)
5( 25÷7 +2÷7 y ) + 3y= 9
y= -2
x= 25÷7 + 2÷7 x (-2)
x= 3
Please help here’s 20 points
Which of the statements is true
a. v7 is an integer
C. V25 is a rational number
b. V16 is an irrational number
d. 190 is neither rational nor irrational number
Answer:
The only valid choice is c.
Step-by-step explanation:
Rational Numbers
Rational numbers have the form a/b, where a and b are integers and b is not zero.
In other words, rationals are all numbers that can be written as a fraction.
Examples are -3/7, 11/2, 5, 0
Note the last two numbers are integers, but they are also rationals because an integer can be expressed as a fraction with a denominator of 1.
Irrational numbers are the opposite, they cannot be expressed as a fraction.
a. [tex]\sqrt{7}[/tex] is not an integer since it's irrational. False
c. [tex]\sqrt{25}[/tex] = 5 or -5. It is a rational number because it's an integer. True
b. [tex]\sqrt{16}[/tex] = 4 or -4. It is not an irrational number because it's an integer. False
d. 190 is a rational number. False
The only valid choice is c.
Solve for b. -9/3 + b = -1 b = ___?
Answer:
2
Step-by-step explanation:
its 2 have a good day (:
Solve the formula B=(R+M)/2 for R
Answer:
2B-M=R
Step-by-step explanation:
Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates
of A are (10, 12), what are the coordinates of B?
Answer:
(-6,4)
Step-by-step explanation:
add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.
then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.
then u can obtain the coordinates of B.
Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?
Answer:
Step-by-step explanation:
This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.
2.2⋅10^6−4.3⋅10^5
I need help I am confused on the answer.
What is the rate of change of the graph shown below?
PLS HELP!!!! ^^^
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (3, 0)
Point (0, 1)
Step 2: Find slope m
Plug in points to find the rate of change of the graph.
Substitute [SF]: [tex]m=\frac{1-0}{0-3}[/tex]Subtract: [tex]m=\frac{1}{-3}[/tex]Rewrite: [tex]m=\frac{-1}{3}[/tex]A volunteer made m muffins for the bake sale. After selling 28 muffins, 21 muffins remained. Write and solve an algebraic equation to find how many muffins she originally made. *
Answer:
The original amount of muffin she original made will be: m = 49
Step-by-step explanation:
Let 'm' be the muffins made for the bake sale.Given that after selling 28 muffins, 21 muffins remained.
Thus, the equation becomes
[tex]m - 28 = 21[/tex]
adding 28 to both sides
[tex]m-28+28 = 21+28[/tex]
[tex]m = 49[/tex]
Therefore, we conclude that the original amount of muffin she original made will be: m = 49
A tin of paint, 6 cm high, holds a half a litre of paint. How much paint would go into a similar
tin which is 12 cm high?
Answer:
One liter
Step-by-step explanation:
The first tin is 6 cm, holds 1/2 liter.
12 is double 6, because 6 x 2 = 12.
What you do to one side you have to do to the other, 1/2 x 2 = 1.
One liter of paint.
Solve these two by using factor the polynomial by grouping
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.
The given is that r║s while the angles are known.
m∠1 = 80 - x
m∠2 = 90 - 2x
m∠1 = m∠2 because of corresponding angles theorem.
So,
m∠1 = m∠2
80 - x = 90 - 2x
- x = 90 - 80 - 2x
- x = 10 - 2x
- x + 2x = 10
x = 10
The value of x is 10
Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?
Answer : 2.142L
Step-by-step explanation:
51/100 × 4.2
=51/100 × 42/10
= 2142/1000
= 2.142L
Answer:
2.142 LStep-by-step explanation:
Total Volume = 4.2L = 4200 ml
Amount Drunk = 51%
How much did Johan drink = 51% of 4200 ml
[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]
2142 ml = 2.142 L
The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.
a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?
please help
Answer:
C $44.99 is the answere
Answer:
there you go! 2 extra for you ⊂:
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
Help asap i will give brainliest;)
Answer:
Simple the area is 88
Step-by-step explanation:
Round the number to the nearest hundredth 3.99527
Answer:
nnnnnnnn
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Kara takes 4.5 hours
to deliver 396
newspapers. What is
the rate per hour
she is delivering the
newspapers?
7 RP 1
