Answer:
[tex]\sf 2x - 3 = -5x^2[/tex]
move terms to one side:
[tex]\sf 2x - 3 = -5x^2=0[/tex]
Split second term in 2x-3+5x^2 into two terms:
[tex]\sf 5x^2+5x-3x-3=0[/tex]
factor out common terms in first terms, then last terms
[tex]\sf 5x(x+1)-3(x+1)=0[/tex]
Factor out common term: x+1
[tex](x+1)(5x-3)=0[/tex]
solve for x
[tex]\sf x+1=0[/tex]
[tex]\sf x+1-1=0-1[/tex][tex]\boxed{\sf x=-1}[/tex][tex]\sf 5x-3=0[/tex]
[tex]\sf 5x-3+3=0+3[/tex][tex]\sf 5x=3[/tex][tex]\sf \cfrac{5x}{5}=\cfrac{3}{5}[/tex][tex]\boxed{\sf x=\frac{3}{5}}[/tex][tex]\boxed{\sf Answer: x=-1,\:x=\frac{3}{5}}[/tex]
Help someone asapppp
Answer:
30
Step-by-step explanation:
add or subtract the polynomials
(8x3+3x-2)+(9x2-7+3x-2x3)
Answer:
10x^3+9x^2-9
Step-by-step explanation:
8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms
10x^3+9x^2-9
Answer:
[tex]\boxed{\boxed{\sf 6x^3+9x^2+6x-9}}[/tex]
Step-by-step explanation:
[tex]\sf \left(8x^3+3x-2\right)+\left(9x^2-7+3x-2x^3\right)[/tex]
[tex]\sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]
Note: If there is a negative sign in front of parentheses, each term within the expression changes sign.
[tex]\Longrightarrow \sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]
Now, we need to organize expression into groups like terms:
[tex]\Longrightarrow \sf (8x^3, -2x^3)\: (3x, 3x)\:(-2,-7)[/tex]
[tex]\longmapsto\sf 8x^3-2x^3=6x^3[/tex]
[tex]\longmapsto\sf 3x+3x=6x[/tex]
[tex]\longmapsto\sf -2-7=-9[/tex]
[tex]\boxed{\sf 6x^3+9x^2+6x-9}[/tex]
_____________________________
2. Given h(x) = x2 +11 and g(x) = √ x-2 evaluate : (g∘ h) (0)
Step-by-step explanation:
I understand from the corrupted typing of the problem text that we have 2 functions :
h(x) = x² + 11
g(x) = sqrt(x - 2)
we are looking for (g○h)(0).
first of all, (g○h)(0) is the same as g(h(0)).
don't get in panic because of this one iteration sign.
it just means we are running the second function first, and use that result as argument for the first function. that's all.
so,
h(0) = 0² + 11 = 11
11 is now the argument for g(x).
g(11) = sqrt(11 - 2) = sqrt(9) = 3
(g○h)(0) = 3
The temperature when Spencer arrived at school was a very chilly
–
4°F. By the time school got out, the temperature had risen 13°F.
What was the temperature when school got out?
9 degrees. -4 + 13= 9.
Help please I need to pass
Answer:
(x+8, y+4).
Step-by-step explanation:
8 units to the right followed by 4 units up.
261 kids like blue Gatorade and 203 kids like red Gatorade how many more students prefer Blue Gatorade to Red Gatorade?
Answer:
58
Step-by-step explanation:
261-203= 58
simple
Simply (x-4) (x^2 + 3x - 1)
I found the answer as :
x³ - x² - 13x + 4
Answer:
Step-by-step explanation:
x^3 + 3x^2 -x -4x^2 - 12x + 4
x^3 - x^2 - 13x + 4
Tammi is planning to buy a video game system for $310.Each month she doubles the amount she saved the previous month.if she saves $10 the first month, in how many months will Tammi have enough money to buy the video game system?
Answer:
6 months
Step-by-step explanation:
10 x 2 = 20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320
1month=10
2months=20
3months=40
4months=80
5months=160
6months=320
5
What are the slope and y-intercept of the linear function
graphed to the left?
4
3
NG
O slope: -2; y-intercept: 2
O slope: - : y-intercept: 1
O slope: 1; y-intercept: 2
2
5 -3 -2 -11
-2+
TY?
O slope: 2; y-intercept: 1
-4
Answer:
(2)
Step-by-step explanation:
slope:-1/2
y-intercept:1 (because the function passes (0,1))
The slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is: slope: -2; y-intercept: 2.
What is linear function?A linear function is a type of function where the rate of change of the dependent variable (y) with respect to the independent variable (x) is constant. In other words, the graph of a linear function is a straight line.
To determine the slope and y-intercept of the linear function graphed, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
Where m is the slope and b is the y-intercept.
Looking at the graph, we can see that the line passes through the y-axis at the point (0, 2), which means that the y-intercept is 2. To find the slope, we can choose any two points on the line and use the formula:
slope = (change in y) / (change in x)
For example, we can choose the points (-1, 0) and (1, -4) which lie on the line. The change in y is -4 - 0 = -4, and the change in x is 1 - (-1) = 2. Therefore, the slope is:
slope = (change in y) / (change in x) = -4 / 2 = -2
Hence, the slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is:
slope: -2; y-intercept: 2
Thus, the answer is slope: -2; y-intercept: 2.
For more details regarding linear function, visit:
https://brainly.com/question/21107621
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helppp ill give you brainliest
Answer:
A!
Step-by-step explanation:
write down the inequality shown on the number line
Answer:
[tex]x<-6; x\ge2[/tex]
Step-by-step explanation:
We're taking values from -6 and behind, and the dot over -6 is empty, so it's not included. That means [tex]x<-6[/tex]. Moreover, the rest of the line goes from 2, with a solid dot, and ahead. That translates in [tex]x\ge 2[/tex]
write the repeating decimal as a fraction 0.75
the 75 is repeating
Let x = 0.757575... . Then
100x = 75.757575...
and so
100x - x = 75.757575... - 0.757575...
99x = 75
x = 75/99 = 25/33
I need help asap please help me
Answer:
B. Alternate exterior angles
Step-by-step explanation:
I need help solving this problem
x=8
I hope this helps I would appreciate brainliest if possible :)
Answer:total is 180. Subtract 100. Then it’s 80
Step-by-step explanation:
180-100=80 degrees. It applies for the ones across.
In basic the answer is x=80
Evaluate each function.
Help me please
f(x) = -2x^2- 1; Find f(-4)
Answer:
-33
Step-by-step explanation:
In which quadrant(s) do the graphs of y=x^2 and y=3x+10 intersect?
Answer:
Quadrants I and II
Step-by-step explanation:
y = x²
y = 3x + 10
x² = 3x + 10 Substitute x² for y
x² - 3x - 10 = 0 set the equation = 0
(x - 5) (x + 2) Factoring
x - 5 = 0 ; x + 2 = 0
x = 5 or x = -2
Now solving the y
y = x² or y = x²
y = (5)² or y = (-2)²
y = 25 or y = 4
The points of interception is points (5, 25) or (-2, 4)
(5, 25) in Quadrant I ; (-2, 4) in Quadrant II
A scale drawing for a plot of land is shown below.
In the drawing, 5 cm represents 6 m.
Assuming the backyard is rectangular, find the area of the real backyard.
Answer:
72m
Step-by-step explanation:
since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m
multiply, and you get the answer
A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between
the number of lines (x) and the cost of the plan (y) per month.
Answer:
y = 15x + 55
Step-by-step explanation:
Find the equation of the line that passes through the points (-1,8)
and (2, -1). Write your equation in slope-intercept form. Show all
work to support your answer.
Answer:
y = -3 * x + 5
Step-by-step explanation:
We start with the equation for slope-intercept y = mx + b -
Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.
We first find the slope by using this equation (y2 - y1) / (x2 - x1) -
(8 - (-1)) / ((-1) - 2)
9 / (-3)
Slope = -3
Now we insert the slope into the equation -
y = -3 * x + b
As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -
-1 = -3 * 2 + b
-1 = -6 + b
b = 5
The y-intercept of the line is (0, 5)
We insert the y-intercept in the equation -
y = -3 * x + 5
y = -3 * x + 5 is our answer to the problem.
Please help! It’s an emergency I’ll mark brainliest for a right/real answer!
Answer:
refer to attachment
Step-by-step explanation:
hope it helps you
19th. = 120 yds
plzz plzzz plzz mark as brainliest.
Question 1
o
In A CDE, U is the centroid, UK = 12, EM = 21, and UD = 9. Find CU.
-
U 12
K
9
Next Question
M
Check Answer
2021 McGraw-Hill Ede
Answer:
is it this?I just searched
Solve pls brainliest
Explain
Answer:
A. -10
B. 147
Step-by-step explanation:
-90 ÷ 9 = -10
7 · 21 = 147
Hope this helps!
2b - 3 / 3 (fraction) - 5 = 10.
Solve for B
Step-by-step explanation:
2b - 3/3 - 5 = 10
2b - 1 - 5 = 10
2b - 6 =10
2b -6 +6 = 10 +6
2b = 16
b = 8
Please help I’ll give brainily
Answer:
C
Step-by-step explanation:
Equations of lines that are perpendicular have gradients that are negative reciprocals of each other. This means that the gradient of one of the lines is negative 1 times the fraction flipped.
With the equations presented in the form y = mx + c, the gradient is m. This means you need to look for the values of m where one is the negative reciprocal of the other.
In C, the first gradient is 6/11. The reciprocal (flipped) is 11/6. Make this negative and you get -11/6, which is the gradient of the second equation, so these lines are perpendicular.
list the side of the triangle in order from shortest to longest.
Answer:
shortest to longest -
B-77
A-59
C-44
Step-by-step explanation:
To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.
I HOPE THIS IS CORRECT!! SORRY IF NOT!!
WHAT IS THIS. draw the line x=2 on the grid. please help
Answer The picture shows you where to place your line
Step-by-step explanation:
[tex]\sf 2(4+9m)[/tex]
Rearrange terms
2(4+9m)
2(9m+4)
Distribute
2(9m+4)
18m+8
Solution
Solution18m+8
[tex]2(4+9m)[/tex]
[tex]2(9m+4)[/tex]
[tex]18m+8[/tex]
(Therefore, 18m+8 is the final answer)
Maria spent 75 minutes practicing the piano over the weekend. Lydia practiced the clarinet for 76% as much time as Maria practiced the piano
Answer:
what is the question? If the question is how much time Lydia practiced, then the answer would be 75 x 76% = 57 minutes
3x = 243
Which value of x will make the equation true?
O A. 4
4
O B. 5
5
O c. 6
O
D. 27
O E. 81
Answer:
81
Step-by-step explanation:
Use the graph to determine which statement describes fx).
Answer:
I think the answer is 4.5,2
I think that is the answer.
