Answer:
2 solutions
Step-by-step explanation:
Given the 2 equations
y = x² + 4x + 4 → (1)
y = 2x + 7 → (2)
Substitute y = x² + 4x + 4 into (2)
x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute these values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )
x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )
The 2 solutions are (- 3, 1 ) and (1, 9 )
“a number is greater than or equal
to -4”
Answer:
Let the number be x,
x ≥ 4
If my answer helped, please mark me as the brainliest!!
Thank You!!
What percent of 40 is 80?
O 20%
O 50%
O 150%
O 200%
Answer:
200%
Step-by-step explanation:
Answer:
200%
Step-by-step explanation:
200% = 200/100 = 2/1
80/40 = 2/1 , 200/100 = 2/1
Estimate the average rate of change between x = 0 and x = 2 for the function shown
A. 4
B. 5
C. 10
D. 11
Answer:
4Step-by-step explanation:
Let the function given be f(x) = x³
The formula for calculating the average rate of change is expressed by:
f'(x) = [tex]\frac{f(x+h)-f(x)}{h}[/tex]
If f(x) = x³
f(x+h) = (x=h)³
substitute the functions in the formula
[tex]f'(x) = \frac{(x+h)^3-x^3}{h}\\f'(x) = \frac{(x^3+3xh^2+3hx^2+h^3)-x^3}{h}\\f'(x) = \frac{3xh^2+3hx^2+h^3}{h}\\f'(x) = \frac{h(3xh+3x^2+h^2)}{h}\\f'(x) = 3xh+3x^2+h^2[/tex]
Since h = x₂-x₁ and x = 0
[tex]f'(x) = 3(0)(2-0)+3(0)^2+(2-0)^2\\f'(x) = 0+0+2^2\\f'(x) = 4\\[/tex]
Hence the average rate of change is 4
Answer:
A. 4 is the correct answer
Step-by-step explanation:
I will mark Brainliest!! I need the BEST answer!!
Rotate the figure 90° counterclockwise about the origin. Determine the orientation of the rotated figure and place it in the correct position.
Answer:
The figure will be the third one among options.
U JUST HAVE TO MAKE THE DRAWING IN PAPER AND TILT IT OR JUST SIMPLY HOLD UR DEVICE IN SUCH A WAY THAT EVERYTHING ON THE SCREEN WILL BE ROTATED IN CLOCKWISE 90 DEGREE
Answer:
Step-by-step explanation:
Please help is Geometry.
Slope of 4/5 help please
Answer:
The slope of y=45 is 0
Directions: Find the value of x.
104
(9x - 25)
Answer:
x = 7
Step-by-step explanation:
Since the two sides (9x - 25) of the triangle are congruent to each other, we can add them together
(9x - 25) + (9x - 25)
18x - 50
A triangle is 180 degrees when adding all three sides
So if 2 sides together equal 18x - 50 and the last side equals 104, then they should equal 180 total
18x - 50 + 104 = 180
Combine like terms
18x + 54 = 180
Subtract both sides by 54 to isolate the variable
18x + 54 - 54 = 180 - 54
18x = 126
Divide both sides by 18 to isolate the variable
18x ÷ 18 = 126 ÷ 18
x = 7
Check your work by plugging in the x value for the expression and adding all three sides to equal 180 degrees
9(7) - 25 + 9(7) - 25 + 104 = 180
Pemdas says to multiply first
63 - 25 + 63 - 25 + 104 = 180
38 + 38 + 104 = 180
76 + 104 = 180
180 = 180
The work is correct
PLSSS HELP ME !!!! I WILL MARK UUUU!!!
Answer:
Step-by-step explanation:
given r = 2
hence,
(2)2 - 11*2 -12=
4-22-12= -30
hence ans = -30
Write the equation of the line that is perpendicular to the graph of y=2x-3, and
whose y-intercept is -8.
Answer:
y= =1/2x-8
Step-by-step explanation:
What is the length of leg s of the triangle below?
Answer:
What is the length of leg s of the triangle below?
B. atau F
Answer:
4
Step-by-step explanation:
Penny reads 14 in 1/4 hour. What is the unit rate for pages per hour? For hour per page?
Who knows this needed quick???
Answer: 6 gallons
Step-by-step explanation:
144/24=6
Pls see the image and send the answers of all qstns
Answer:
bahabahajahabbabagahabbba
McDonald’s once made bubblegum-flavored broccoli.
Some fungi create zombies, then control their minds.
The first oranges weren’t orange.
There’s only one letter that doesn’t appear in any U.S. state name.
Answer:
1. ew
2. wait what
3. uhm the name tho
4. Q right?
Answer:
Jjrhrhri4i393i393j3j33
Step-by-step explanation:
J5jjt. Hthtbht
help! idk how to do this.
Answer:
The first pic is not clearly so i cannot fully understand it, therefore i cannot solve it so really sorry about that :(
Step-by-step explanation:
Pic 2:
y° = 180° - [180° - 30° - (180° - 110°)] = 100°
Because the 2 lines are parallel so x° + y° = 180°
Therefore, x° = 80°
In an absolute value inequality the symbol > means "or" union. True or False
Answer:
false
Step-by-step explanation:
11. The surface area of a rectangular solid with length 6 centimeters and width 3 centimeters is 72 square
centimeters. Find the height.
Answer:
4 cm
Step-by-step explanation:
The formula for volume is V=L*W*H. We are given all except the height, making it 72=6*3*H. Multiply 6*3 will give you 72=18H. Divide by 18 and you’ll get 4cm.
TL;DR
72=6*3*H
72=18H
4=H
At a movie theatre, the size of popcorn bags decreased 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold?
Answer: 3 cups
Step-by-step explanation:
20% of 15 is 3
I need an answer please ASAP |4+7|-|4-7|
Answer:
Step-by-step explanation:
[tex]Hey~There![/tex]
________________________
➜ Solve each part:
[tex]4+7=11[/tex][tex]4-7=-3[/tex]➜ Now we need to change any negatives:
[tex]|-3|=3[/tex]When you see [tex]|x|[/tex] it means absolute value; Which is a fancy way of saying "No negative answers."➜ Now we subtract:
[tex]11-3=8[/tex]________________________
So with the above work shown the answer would be [tex]\bold8[/tex].
________________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
Does anyone know the answer to this I need this ASAP
Answer:
(-32, 0)
Step-by-step explanation:
The x-intercept is the point on the line whose y-coordinate is zero.
Look at the points (8, 28) and (-2, 21).
As y goes from 28 to 21, a difference of 7, x goes from 8 to -2, a difference of 10.
Now look at the points (-2, 21) and (12, 14).
As y goes from 21 to 14, a difference of 7, x goes from -2 to -12, a difference of 10.
As you can see, each time y goes down by 7, x goes down by 10.
Start with (-12, 14).
Subtract 7 from y and 10 from x to get (-22, 7).
Now start with (-22, 7). Subtract again 7 from y and 10 from x.
You get (-32, 0).
Since now you have a y-coordinate of 0, point (-32, 0) is the x-intercept.
Answer: (-32, 0)
Use the angle relationship in the figure below to solve for the value of x. Assume that lines A and B are parallel and line C is a transversal,
(7x+25)
60
Enter the value of x in the response box below.
Answer:
x = 5
Step-by-step explanation:
The two angles are alternating angles and are therefore the same size.
60 = 7x + 25 | -25
35 = 7x | :7
x = 5
what is the answer??
Answer:
Whats the question?
Step-by-step explanation:
An employee's salary for Atar services is $37500.Next tear she will get an 8% increase in salary. How much is her new salary. Plz help me its due in an hour and I will mark your answer as the brainliest.
Graph g(x)=1/5x^2
Pls hurry I’m timed
The answer fam is......
The area of a square garden is A=121 ft2. How long is each side of the garden?
What is the slope of a line that is perpendicular to the line y=-3x+5?
A.-2
B.-1/2
C.1/2
D.2
Answer:
C. 1/2Step-by-step explanation:
Note: there is a typo in the question, the line should be y = - 2x + 5
Perpendicular lines have negative reciprocal slopes
Slope of the given line is:
-2The slope of a perpendicular line is:
- 1/(-2) = 1/2Correct choice is C. 1/2
m=−3
The equation of a perpendicular line to y=−3x+5
must have a slope that is the negative reciprocal of the original slope.
m perpendicular =−1/−3
Simplify the result.
m perpendicular =1/3
Hope this helps
All of the following have the same value except.
O 9+ (-6)
0-6 - (-9)
O 6-9
O9-6
Answer:
C, 6-9
Step-by-step explanation:
All of the other answers equal 3 but C is equal to -3
Answer:
6-9
Step-by-step explanation:
9-6=3
9 + (-6) ---> 9-6=3
-6-(-9) --->-6+9=3 (Negative and negative turn to positive
6-9=-3
So, the answer is the last one
Which represents the solution set to the inequality
- 1.5(4x + 1)4.5 -2.5(x + 1)?
Solve the
XX-1
-1.5(42
Oxz
7
16
155 긇
O(-0, -1]
0 (-0, 7]
16
Answer:
It’s c
Step-by-step explanation:
I just got it right
Given x∥y and m∠2=23° .
What is m∠7?
Answer:
see below
Step-by-step explanation:
since there isn't any image given
there are two possible answers:
1. m∠7 = 180 - 23
m∠7 = 157°
2 m∠2 ≅ m∠7 = 23°
.Mai and Noah each leave their houses at ther same time and ride their bikes to the park. Using information
from the data card provided, choose the equation for Noah that relates the time in minutes (t) to the distance in meters they travel
Answer:
Let's define the zero in our axis as the park.
We know that Noah lives 9,000 meters away from the park, and that he bikes 300 meters per minute.
Then at the beginning, the position of Noah with respect to the park can be written as:
P(0s) = -9000m
This means that initially he is 9000m away from the park.
Now, each minute he moves 300 meters to the park, then after t minutes, the position is:
P(t) = -9000m + (300m/min)*t
With this equation we can find the time that takes Noah to arrive at the park:
When his position is equal to zero, it means that he is in the park (because we defined the position zero as the park).
P(t) = 0m = -9000m + (300m/min)*t
Now we can solve this for t.
9000m = (300m/min)*t
9000m/((300m/min) = t = 30 minutes.
Answer:
Noah arrived first.
Step-by-step explanation:
Noah thirty minutes and Mei 32