======================================================
Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
[tex]-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\[/tex]
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Evaluate b2 + 4 · 6
the 2 is a exponent
Which expression is equivalent to (x23)32
Answer: 32x exponent 23
Step-by-step explanation:
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (x²³)³²
We know that if [tex]\rm \left ( n ^{a} \rigth )^{b} = n^{a \times b}[/tex], then we have
[tex]\rm \rightarrow \left (x^{23} \right ) ^{32}\\\\\rightarrow \left (x \right ) ^{23 \times 32}[/tex]
Simplify the expression, then the expression will be given as,
⇒ x⁷³⁶
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
The complete question is given below.
Which expression is equivalent to (x²³)³²?
A. x⁵⁵
B. x⁷⁶⁸
C. x⁶⁶
D. x⁷³⁶
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ6
Simplify. 10 ÷ 15 − 3
can someone help me with this?
Identify the name for the 12 and 4 in the expression. 12x + 4y - 5
A.variables
B.terms
C.coefficients
D.constants
A map of Rockbridge County has a scale factor of
2.5 in = 5 mi
if the actual distance from Fairfield to Lexington is 12 miles what is the distance on the map?
(plzzz show work I'm doing a test rn thats half my grade plzzzzzz)
Answer: 6 inch
Step-by-step explanation:
From the question, we are informed that a map of Rockbridge County has a scale factor of 2.5 in = 5 miles.
When the actual distance from Fairfield to Lexington is 12 miles, the distance on the map will be:
= 12/5 × 2.5
= 2.4 × 2.5
= 6 inch
what is the slope of x+y=-4?
Answer:
the slope is 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The sum of four times Juanita’s age and 16 is 100. Juanita is j years old. How old is Juanita?
Answer:
Step-by-step explanation:
Juanita is 36 years old.
100 - 16 x 4
36
Hope this helps!
Find the solution to the equation.
30=−5n+16+3n
Enter only a number. Do NOT enter an equation. If the number is not an integer, enter it as a fraction in simplest form. If there is no solution, “no solution” should be entered.
Answer:
-7
Step-by-step explanation:
30-16= -5n +3n
14 = -2n
multiplying both by half,u have -
7 = -n
multiply both by -1
7 = n
What’s bigger 1.30 or 1.3
they are both the same
determine if the lines are parallel perpendicular or neither y=-7 and x=2
Answer:
Perpendicular
Step-by-step explanation:
Because the two lines don't have a "b" value in the equation y=mx+b, we know that both these lines are straight lines either horizontal or vertical. So, if we were to graph these, they would intersect and creat 4 90º angles, making it perpendicular (see graph as well)
Pls help it's due soon pls dont waste my points i have so less :(
Answer:
Cheetah ran for 3 hours.
Antelope ran for 5 hours.
Lion ran for 6 hours.
Elephant ran for 10 hours.
identify the y intercept of g(x)=5x
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 0 .
Step-by-step explanation:
hope this helps
Kevin and randy muise have a jar co taining 64 coins all of which are quarters and nickles the total value of the coins in the jar ia $9.40 how many of each type of coin di they have
Answer: 188 nickles
Step-by-step explanation: Divide 9.40$ by 5
Find the x-intercept and
the y-intercept from the
following linear equation:
8x + 16y = 32
x-intercept ([?], [ D)
y-intercept (( ], [ 1)
Decimal value of 5/6
Answer:
0.833333... it repeats
Step-by-step explanation:
So i say 0.83.
Answer:
0.833333...
Step-by-step explanation:
Steph owed her mother $84. She earned $6.25 for raking the leaves each week and 3.25 for unloading the dishwasher each week, how many weeks would it take her to pay her mother back?
Answer: About 10 weeks
Step-by-step explanation:
Step 1- 6.25 + 3.25 = 9.50
Step 2- 84 - 9.50 = 74.50
Step 3- 74.50 divide by 7
Step 4- Answer 10. 64285 and so on
I have a few minutes left please help
9. Which of the following is the correct point-slope which of the following is the correct point-slopes equation of the linear relationship
with m = -5 and point (7,9)?
y - 7 = 9(x - 5)
y - 7 = 5(x - 9)
y - 5 = 7(x - 9)
y - 9= -5(x - 7)
Answer:
y - 7 = 9(x - 5)
Step-by-step explanation:
Answer:
The answer is y - 9= -5(x - 7)
Step-by-step explanation:
hope this helps
y= mx+b
9= -5(7)+b
9 = -35+b
+35 +35
44=b
So the point slope is y=-5x+44
y - 9= -5(x - 7)
y-9=-5x+35
+9 +9
y=-5x+44
What is 4x81 i need the answer
Answer:
324
Step-by-step explanation:
Answer:
The answer is 324
Step-by-step explanation:
hope this helps
Pls answer number 1 thank you if you do
Answer:
96 baceballs
Step-by-step explanation:
Hope this helps!
I need it by tonight please. Explain a little too
Given: B. and D are collinear m < ACB = 94 degrees 94 degrees E value of will ensure that are also collinear ?
Answer:
D for 84 degree c
Step-by-step explanation:
add 94 plus 94 then calculate 94 -8
What is 25% of $8.00?
Answer:
25% of $8.00 is $2.00
Step-by-step explanation:
25% is basically 1/4 of something. So, if you divide $8.00 into four parts, you would get $2.00 for each part. This is why 25% of $8.00 is $2.00.
Answer:
$2
Step-by-step explanation:
Think you have 25/100 x of 8
100/25 is the same as 8/x:
X=8/100 divided by 25=$2
On a map, the scale is 1 inch = 60 miles. The distance on the map between Indianapolis,
Indiana, and Pittsburgh, Pennsylvania, is 6 inches. What is the actual distance between the two cities?
Answer:
360 miles
Step-by-step explanation:
1 inch = 60 miles
6 inches = x
- to get this simply multiply 60*6
Can someone help me with this please
Answer:
y'' = 18x(x³ + 8)⁴(17x³ + 16)
General Formulas and Concepts:
Calculus
Derivative Notation dy/dx
Derivative of a constant is 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
y = (x³ + 8)⁶
Step 2: Find 1st Derivative (dy/dx)
Chain Rule [Basic Power]: y' = 6(x³ + 8)⁶⁻¹ · (3x³⁻¹ + 0)Simplify: y' = 6(x³ + 8)⁵ · 3x²Multiply: y' = 18x²(x³ + 8)⁵Step 3: Find 2nd Derivative (d²y/dx²)
Product Rule [Chain/Basic Power]: y'' = 2 · 18x²⁻¹ · (x³ + 8)⁵ + 18x² · 5(x³ + 8)⁵⁻¹ · (3x³⁻¹ + 0)Simplify: y'' = 36x(x³ + 8)⁵ + 90x²(x³ + 8)⁴ · 3x²Multiply: y'' = 36x(x³ + 8)⁵ + 270x⁴(x³ + 8)⁴Factor: y'' = 6x(x³ + 8)⁴[6(x³ + 8) + 45x³]Distribute: y'' = 6x(x³ + 8)⁴[6x³ + 48 + 45x³]Combine like terms: y'' = 6x(x³ + 8)⁴[51x³ + 48]Factor: y'' = 6x(x³ + 8)⁴ · 3(17x³ + 16)Multiply: y'' = 18x(x³ + 8)⁴(17x³ + 16)Answer:
[tex]\frac{d^{2}y}{dx^{2}} = 180x.(x^{3} +8)^{4}[/tex]
Step-by-step explanation:
This question requires use of the chain rule:
[tex]y = (x^{3} + 8)^{6}[/tex]
Let:
[tex]u = x^{3} + 8[/tex]
Then:
[tex]y = u^{6}[/tex]
And:
[tex]\frac{dy}{dx} = \frac{dy}{du}. \frac{du}{dx}\\\\\frac{d^{2}y}{dx^{2} } = \frac{d^{2}y}{du^{2}}. \frac{d^{2}u}{dx^{2}}\\\\\frac{dy}{du} = 6u^{5}\\\\\frac{d^{2}y}{du^{2}} = 30u^{4}\\\\\frac{du}{dx} = 3x^{2}\\\\\frac{d^{2}u}{dx^{2}} = 6x[/tex]
So:
[tex]\frac{dy}{dx} = 6u^{5}.3x^{2}\\\\\frac{dy}{dx} = 18u^{5}x^{2}\\\\[/tex]
And:
[tex]\frac{d^{2}y}{dx^{2}} = 30u^{4}.6x\\\\\frac{d^{2}y}{dx^{2}} = 180u^{4}x[/tex]
Finally, substitute u for its equivalent expression in x:
[tex]\frac{d^{2}y}{dx^{2}} = 180x.(x^{3} +8)^{4}[/tex]
please help me!! PLEASE!!
Answer:
it is d
Step-by-step explanation:
because the bottom would have to be on the input side a 4
D
hope it helps, i tried the best i could
1/2x + 6= 3x - 4
Solve the system of equations
A glacier in Alaska moves about 29.2 meters a day.
About how much farther will it move in 1,000 days than it will move in 100 days?
Answer:
29,100
Step-by-step explanation:
29.1 × 10 = 291
29.1 × 100 = 2,910
29.1 × 1000 = 29,100
Which graph decreases, crosses the y-axis at (0, -7), and then increases?
Graph A
Graph B
Graph
5
A. Graph A
B. Graph C
C. Graph B
Answer:
Graph C
Step-by-step explanation:
The statement 25% of 12 is 3 has three numbers.in real life problems, any one of these numbers can be unknown.
Answer:
15
Step-by-step explanation: