Answer:
[tex]x=-4,\:x=-5[/tex]
Step-by-step explanation:
[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]
Answer:
Factored form: (x+4)(x+5) = 0
x = -5 or -4
Step-by-step explanation:
To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.
The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.
Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).
To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.
Given f(x) = 6(1 - x), what is the value of f(-8)?
Answer:
6(1-(-8)= 54
Step-by-step explanation:
Plug negative 8 in for x and solve the equation
I need help with #14 MULTIPLE CHOICE
Answer:
a
Step-by-step explanation:
Answer:
[tex]m = \frac{-1}{6}[/tex]
Step-by-step explanation:
You are solving for the slope (m). Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) =(-2 , 1)\\(x_2 , y_2) = (4 , 0)[/tex]
Plug in the corresponding numbers to the corresponding terms:
m = [tex]\frac{0 - 1}{4 - (-2)}[/tex]
[tex]m = \frac{-1}{4 + 2} \\m = \frac{-1}{6}[/tex]
[tex]m = \frac{-1}{6}[/tex] is your answer.
~
Anna and Betty share 24 sweets in the ratio 3:5. How many sweets do they get each?
Answer:
Anna 9 and Betty 15
Step-by-step explanation:
sum the parts of the ratio , 3 + 5 = 8 parts
divide number of sweets by 8 to find value of one part of the ratio
24 ÷ 8 = 3 ← value of 1 part of the ratio , then
3 parts = 3 × 3 = 9
5 parts = 5 × 3 = 15
Anna gets 9 sweets and Betty gets 15
Use the interactive to find an expression equivalent to
4x -4- 2x + 3.
O 2x - 1
0 6Y- 1
O 2x - 7
0 -2x + 3
Answer:
I solved it and my answer is number 1
Which expression(s) below are equivalent to -3x + 6? select all that apply.
a. (4x + 2) + (-7x + 4)
b. (-4x + 4) - (x - 2)
c. -3(x - 2)
d. 1/2(-6x + 12)
Answer:
[tex]a. (4x + 2) + (-7x + 4) \\ c. -3(x - 2) \\ d. 1/2(-6x + 12) \\ \: are \: the \: once \: that \\ apply[/tex]
plzzzzzzzzzzzz help will get brainlist
When a construction worker is on a platform 10 feet above the ground, we can describe her elevation as +10 feet.
A construction worker digs down to 30 feet below the platform. What is her elevation?
Find the distance between the two points rounding to the nearest tenth
(8,-9) and (2, - 7)
Answer:
-9
Step-by-step explanation:
Which of the following are solutions
to the inequality b<-8 ?
Answer:
- 15 and -10
Step-by-step explanation:
Answer:
the answers are b=-15
b=-10
John runs 18 miles in 6 hours. At that rate,
how many miles can John run per hour?
Answer:
3 miles per hour
The first terms of a geometric sequence are as follows.
-810,-270,-90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)
The fourth and fifth term of this sequence is -30 and -10 respectively.
Data;
first term (a) = -810common difference (r) = ?Common DifferenceThe common difference in a geometric progression is the ratio between two successive terms.
Let's find the common difference in this sequence
[tex]r = \frac{-270}{-810} \\r = \frac{1}{3}[/tex]
The nth term of a geometric sequence is given as
[tex]T_n = ar^n^-^1\\[/tex]
The next two terms of this sequence will be 4th and 5th term.
The fourth term of this sequence is
[tex]T_4 = ar^4^-^1\\T_4 = -810 * (\frac{1}{3})^3\\ T_4 = -810 * \frac{1}{27}\\ T_4 = -30[/tex]
The fifth term of this sequence is
[tex]T_5 = ar^5^-^1\\T_5 = -810 * (\frac{1}{3})^4\\T_5 = -810 * \frac{1}{81} \\T_5 = -10[/tex]
The fourth and fifth term of this sequence is -30 and -10 respectively.
Learn more on geometric progression here;
https://brainly.com/question/12006112
what is negative 2 and 2/3 as a decimal
Hi friend! Hope you find this response helpful! :)
0.66666667
The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
For the given similar polygons, the value of x equal to 30.
Similar PolygonsTwo polygons are classified as similar when their angles are congruent and their sides are proportional.
If the polygons of this exercise are similar. You can write:
[tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}[/tex]
Then,
[tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}\\ \\ \frac{18}{12}=\frac{x}{20}=\frac{21}{14}[/tex]
It is possible to note that the scale factor is [tex]\frac{3}{2}[/tex]. See it.
[tex]\frac{18:6}{12:6}=\frac{3}{2} \\ \\ \frac{21:7}{14:7}=\frac{3}{2}[/tex]
Therefore, you can find x from:
[tex]\frac{18}{12}=\frac{x}{20}\\ \\ 12x=18*20\\ \\ 12x=360\\ \\ x=\frac{360}{12} =30[/tex]
Read more about the similar polygons here:
https://brainly.com/question/1442292
-3.5y - 6.2y = - 87.3
Answer:
the answer is 9
Step-by-step explanation:
-3.5y - 6.2y = - 87.3
or, -9.7y = -87.3
or, y = -87.3/-9.7
or, y = 9.
What is the slope of the line represented by the points in the table?
Answer:
I think the answer is -0.05
Step-by-step explanation:
Using the black numbers on the stop watch to answer the questions
what is the most accurate reading seconds as indicated by the long second hand?
1st answer: 5.3s
2nd answer: Tenths of seconds
Answer:
r = 0.84
Step-by-step explanation:
The mean reading time obtained with the stopwatch measurements was 4.34 ± 0.57 seconds (196.21 ± 21.79 wpm), versus 4.44 ± 0.59 seconds (192.24 ± 22.20 wpm) by computer measurement (r = 0.84).
In the chart below is the depth of a submarine in the ocean over several
minutes. Use this chart for part a and part
b.
Time
Depth
1:30 pm
- 10 feet
1:31 pm
-28 feet
1:32 pm
-30 feet
1:33 pm
-40 feet
1:34 pm
-50 feet
1:35 pm
-60 feet
a. Is the submarine moving toward the water surface or toward the bottom of
the ocean?
b. How many feet did the submarine travel from 1:32 - 1:34 pm?
Answer:
B. Submarine travelled 50 ft.
A. Submarine is descending (toward bottom)
The bill for Jacoby's breakfeast at a Nashville restauraunt is $9. He wants to leave a 20% tip. How much should the tip be?
Answer:
$1.80
Step-by-step explanation:
9x0.2=1.80
He should leave 1.80 as a tip.
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?
what is the solution for y=2x-1
Answer:
Simplifying
Y = 2x + -1
Reorder the terms:
Y = -1 + 2x
Solving
Y = -1 + 2x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
AnswerY = -1 + 2xStep-by-step explanation:
solve the system of linear equations -x+5y=15 -1/5x+y=3
Answer:
[tex](0,3)[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-\frac{1}{5}\left(15-5y\right)+y=3\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-3+2y=3\end{bmatrix}[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]2y\f=6[/tex]
÷[tex]2[/tex] ÷[tex]2[/tex]
[tex]y=3[/tex]
[tex]\mathrm{for\:}x=15-5y[/tex] [tex]\mathrm{substitute\:}y=3[/tex]
[tex]x=15-5\cdot \:3[/tex]
[tex]5*3=15[/tex]
[tex]15-15=0[/tex]
[tex](x,y)[/tex]
[tex](0,3)[/tex]
Evaluate 5x when x = -5.
*help plsss*
Answer:
-25
Any number times a negative number is like subtracting that number multiple times, similar to division.
↓ Here is the equation but factored ↓
[tex]5(x)\\5(-5)\\5 x -5\\-25xy[/tex]
xy is simply the term used in factoring when a number is combined with its factor in algebra to recreate the value of the starting equation.
what is the simplest form of - 1 5/12
Answer:
5/4
Step-by-step explanation
You first find the multiples of 15 and 12 and then see if they a common multiple. After finding the common multiple,3, divide 15 by 3 and do the same for 12, then you would have the answer which would be 5/4.
What is the difference
-2 - 8 =
Answer:
-10
Step-by-step explanation:
-2 - 8 = -10I hope this helps!
Answer:
-10
Step-by-step explanation:
To find the answer to -2 - 8, we have to remember that when you subtract numbers, they go towards the negatives. So, since it is -2 - 8, you basically just add together the numbers but keep the negative sign, so the answer would be:
-2 - 8 = -10
Hope this helps :)
A rectangular piece of cheese is 9 centimeters long is 5 centimeters wide. What is the perimeter
Solution:
We know that:
Perimeter of rectangle = 2L + 2BGiven:
L = 9 cmW = 5 cmSubstitute the values into the expression to find the perimeter.
Perimeter of rectangle = 2L + 2B=> 2(9) + 2(5)=> 18 + 10=> 28 cmAnswer: 28cm
Step-by-step explanation:
The perimeter formula for a rectangle = 2(l + w); where:
length = 9cm
width = 5cm
P = 2(l + w)
= 2(9 + 5)
= 18 + 10
= 28cm
Therefore, the perimeter of the cheese is 28cm
answer please answer
Answer:
slope is 3/2
Step-by-step explanation:
point A (20,10), point B (40,40)
slope= [tex]\frac{(y2-y1)}{(x2-x1)}=\frac{40-10}{40-20}=\frac{30}{20} =\frac{3}{2}[/tex]
i do not know this answer, Edmond's house is due west of Greenwood and due south of Vindale. Greenwood is 12 miles from Edmond's house and 15 miles from Vindale. How far is Vindale from Edmond's house, measured in a straight line?
Check the picture below.
please just explain it to me (about the center of the data set below
Answer:
ask your teacher for help , maybe youll find the answer quickly
Step-by-step explanation:
What is the area of the triangle abc?
Answer:
Your answer is 35!
Step-by-step explanation:
I'm sure of it!
Enter an expression equivalent to (3x2 + 2y2 – 3x) - (2x2 + y2 - 2x) using the fewest number of possible terms
Answer:
x2+y2-x
Step-by-step explanation:
subtract like terms.
The required equivalent expression is [tex]x^2+y^2-x[/tex].
Important information:
The given expression is [tex](3x^2+2y^2-3x)-(2x^2+y^2-2x)[/tex].Equivalent expression:The given expression can be written as:
[tex]3x^2+2y^2-3x-2x^2-y^2+2x[/tex]
Combining like terms, we get
[tex](3x^2-2x^2)+(2y^2-y^2)+(-3x+2x)[/tex]
On simplification, we get
[tex]x^2+y^2-x[/tex]
Therefore, the required equivalent expression is [tex]x^2+y^2-x[/tex].
Find out more about 'Equivalent expression' here:
https://brainly.com/question/12405477
Write the decimal as a fraction or mixed number in simplest form.
5.22
Answer:
5 11/50
Step-by-step explanation:
i used an online calculator and thats what it said
Answer:
5 2/9
Step-by-step explanation: