Answer:
x^2 + 9x + 30 = 0
Step-by-step explanation:
Given: f(x) = x² – 10x + 24
g(x) = x – 6
f(- x) = g(x) :
(-x)² - 10(- x) + 24 = x - 6
x² + 10x + 24 - x + 6 = 0
Result: x² + 9x + 30 = 0
Answer:
Y = (x - 11/2)^2 -1/4
Step-by-step explanation:
subtract g(x) to f(x)
f (x) - g (x) = x^2 -10x +24 -x + 6
f (x) - g (x) = x^2 -11x +30
Let's call Y
Y = x^2 -11x +30
The standard form is by definition as Y = a (x-b)^2 + h
In this specific case:
Y = (x - 11/2)^2 -121/4 + 30
Y = (x - 11/2)^2 -1/4
Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
a.
[tex]y = |x - 1| + 2[/tex]
b.
[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]
If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.
Answer:
-8,0
Step-by-step explanation:
From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.
For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.
50 POINTS PLEASE ANSWER
Take 2 coordinates
(1,0)(8,6)Slope'-
m=6/8-1m=6/7Equation in point slope form
y-0=6/7(x-1)7y=6x-6y=6/7x-6/7Answer:
[tex]y=\dfrac67x-\dfrac67[/tex]
Step-by-step explanation:
From inspection of the graph, we have been given two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]
Therefore:
[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substituting the values of m and (x₁, y₁):
[tex]\implies y-0=\dfrac67(x-1)[/tex]
[tex]\implies y=\dfrac67x-\dfrac67[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=\dfrac67x-\dfrac67[/tex]
A hurricane wiped out 40% of the wild rats in a coastal city. Then, a disease spread through stagnant water killing 20% of the rats that survived the hurricane. What percentage of the original population of rats is left after these 2 events
After the hurricane and the disease, 48% of the original population of rats is left.
We have,
After the hurricane, 40% of the rats were wiped out, which means
100% - 40% = 60% of the rats survived.
Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.
This means 100% - 20% = 80% of the rats that survived the hurricane are still left.
To find the percentage of the original population of rats that is left after both events, we multiply the percentages:
Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48
Finally, we convert the decimal value back to a percentage:
Percentage left = 0.48 * 100% = 48%
Therefore,
After the hurricane and the disease, 48% of the original population of rats is left.
Learn more about percentages here:
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-
Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
-
( 2z -2y =-24)
– 32 -2y =-33)
-
-
-22 -2y = -24
-32 -2y -33
0 - 0 Y=
You must answer all questions above in order to submit.
P
Answer:
z = -1.8, y = 10.2
Step-by-step explanation:
- 2z -2y = -24 (EQ 1)
3z - 2y = -33 (EQ 2)
Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)
Let's target the equation that can leave us with the simplest question to solve
-2z + -2y = -24
-3z + 2y = 33
-5z = 9
(Dividing and switching the negative sign over)
z = -1.8
Plug in Z to solve for y.
-2(-1.8) - 2y = -24
3.6 - 2y = -24
-2y = -20.4
y = 10.4
Which of the following expressions can be used to calculate the perimeter of a square with side length 5 inches?
Answer:
...............................................................................................5x4
Jose's mom gave him
$
40
for cutting their grass. He used the money to buy a
$
10. 75
game and two snacks that cost
$
3. 25
each. Joe also bought a bouquet of flowers for his mom. If Joe went home with
1
4
of the money his mom gave him, how much did the flowers cost?
I can’t find the answer
Answer:
Choose one
Step-by-step explanation:
A rectangular painting has a length of 24 inches and a width of 7 inches. What is the length of the diagonal of the painting in inches? Enter your answer in the box.
Answer: 25 inches
Step-by-step explanation:
24² + 7² = 625
Square root of 625 = 25
Eighth grade > V.4 Area and circumference of circles CHV
The circumference of a circle is 43.332 miles. What is the circle's diameter?
Use 3.14 for .
Answer: [tex]D=13.8[/tex]
Step-by-step explanation:
To fing the diameter of a circle when given the circumfrence we use the formula of
[tex]D=\frac{c}{\pi }[/tex]
[tex]D= \frac{43.332}{3.14}[/tex]
[tex]D=13.8[/tex]
Which point is located at - 1/6
Answer:
Point C
Step-by-step explanation:
it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.
Answer:
Point C
Step-by-step explanation:
Step 1: What point is located at -1/6
We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative. 0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number. Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.
Answer: Point C
On the opening day, a restaurant offers free drinks and desserts to all the customers. A customer can choose from apple juice, orange juice, grape juice, and cranberry juice. He can choose from ice cream, cake, and pudding as desserts. How many different juice-dessert combinations are possible?
15
24
12
7
Answer: 12
Step-by-step explanation:
Juice 4 multiplied by Dessert 3
how would i find the volume
Find the value of x to the nearest tenth.
Answer:
x ≈ 16.2
Step-by-step explanation:
tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × tan56° = 24 ( divide both sides by tan56° )
x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )
I answered 2. Am I right?
Answer:
Yes, I agree, the score of 2 was an outlier, outside of what is close to everyone else's score
Step-by-step explanation:
What is the area of the trapezoid?
WILL MARK BRAINLYEST
Answer:
126 in^2
Step-by-step explanation:
A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]
please help. I don't understand
Given the graph of the function f(x), find each of the following.
† y
a. f(-4) 2
b.
f(0) O
C.
f (2) -1
d. f (5) -1
Answer:
a) 2 ; b) 0; c) -2 ; d) -1
Step-by-step explanation:
a) f(-4)=2 ;
b) f(0)=0;
c) f(2)= -2 ;
d) f(5)= -1
equivalent expression to −5.55−8.55c+4.35c
need help with question 7
Answer:
D. 7/8
Step-by-step explanation:
Answer:
D. 7/8. (has to be twenty characters long so here are some words )
What is the lateral area of the cone
PLS HELP ITS ONLY ONE QUESTION
Directions: use your knowledge of the Cartesian Coordinate System to answer the following questions.
How are the four sections marked?
Answer:
Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV
Hope it helps.
How can i find the circumference of a circle if I already know it's area?
Answer:
With the area you can find the radius and then substitute the radius in the circumference formula
Divide.
3
24yºx - 20yx?
52
5
- 3y x²
Simplify your answer as much as possible.
Answer:
(24y^3x-20y^5x^2)/(-3y^5x^2)
= y^3x(24-20y^2x))/(-3y^5x^2)
=(24-20y^2x)/(-3y^2x)
=(24/(-3y^2x))-((20y^2x)/(-3y^2x))
=(-8/y^2x)-(-20/3)
=-8/y^2x + 20/3
expand the following expression. 13/4 (2x + 3/4)
Hey there!
13/4(2x + 3/4)
= 13/4(2x) + 13/4(2x)
= 13/2x + 39/16
≈ 6 1/2x + 2 7/16
Therefore, your answer is:
13/2x + 39/16
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A fair die is rolled 5 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places.
Answer:
0.132
Step-by-step explanation:
Rolling a die is an independent event.
Chance of not rolling a 1 or 4 is 4/6 or 2/3
[tex]\frac{2}{3} ^5 = \frac{32}{243} = 0.13168[/tex]
Graph =−2+5 y = − 2 x + 5 and =−12−3 y = − 1 2 x − 3 . Are the lines parallel, perpendicular, or neither?
Answer:
They are neither,they intersect but not at a 90 degree angleStep-by-step
explanation: hope this helps :)
Find the solution of the system of equations.
x-y=-3
-8x+y=45
Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
[tex]\frac{2y}{2} = \frac{56}{2}[/tex]
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
If x-3=6, what is the value of x?
Group of answer choices
x=2
x=3
x=6
x=9
Answer:
x=9
Step-by-step explanation:
9-6=3
Simplify the following expression
(x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6
[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]
[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]