Graph the solution of the inequality on the number line.

−2x + 5(x − 2) > 7x − 6

Group of answer choices

Number line with a open circle at -1 and shading to the left

Number line with a open circle at -1 and shading to the right

Number line with a open circle at 4 and shading to the right

Number line with a open circle at 4 and shading to the left

HELPP PLSSS

Answer:

15%

Step-by-step explanation:

Divide 750 by 5000 to get 0.15, which is 15%

Answer:

I believe it is l-3/2l because it is 1 1/2

Answer:

Step-by-step explanation:

|-3/2| is bigger than -2/3

the absolute value of |-3/2| is 3/2

The Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%.

To calculate the Annual Percentage Yield (APY) for a savings account that compounds monthly, we can use the following formula:

APY = (1 + r/n)^n - 1

Where:

r is the annual interest rate expressed as a decimal (6.2% = 0.062)

n is the number of times the interest is compounded per year (monthly compounding = 12)

Let's plug in the values and calculate the APY:

APY = (1 + 0.062/12)^12 - 1

APY = (1.0051667)^12 - 1

APY ≈ 0.062161 (rounded to five decimal places)

To convert the APY to a percentage and round it to two decimal places, we multiply the result by 100:

APY ≈ 6.22%

Therefore, the Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%. This indicates the effective annual rate of return you would earn on your savings, taking into account the compounding of interest over the course of a year.

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Answer:

There is no equation because 11 does not equal -4

Step-by-step explanation:

(2,5) and 3x+y=-4

3(2)+(5)=-4

6+5=-4

11=-4

WRONG

To evaluate the limit of f(x) as x approaches 3 from the left, we substitute the value of x that is slightly less than 3 into the first part of the piecewise function. Therefore[tex], lim f(x)[/tex]as x approaches 3- is equal to lim (3 - 2 + x) as x approaches 3-. Simplifying further, we get lim f(x) as x approaches 3- = 3 - 2 + 3 = 4.

To evaluate the limit of f(x) as x approaches 3 from the right, we substitute the value of x that is slightly greater than 3 into the second part of the piecewise function. Therefore, lim f(x) as x approaches 3+ is equal to lim (4 - x) as x approaches 3+. Simplifying further, we get lim f(x) as x approaches 3+ = 4 - 3 = 1. Now, to determine whether the function f is continuous at x = 3, we compare the left-hand limit[tex](lim f(x)[/tex]as x approaches 3-) and the right-hand limit [tex](lim f(x)[/tex] as x approaches 3+).

If the two limits are equal and the function value at x = 3 (f(3)) is equal to the limits, then the function is continuous at x = 3. In this case, the left-hand limit is 4, the right-hand limit is 1, and the function value at x = 3 is not given. Since the left-hand and right-hand limits are not equal, the function f is not continuous at x = 3.

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a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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Answer:

Step 3

Step-by-step explanation:

The exponents haven't been solved right.

For powers when multiple you add them together

Answer:

So, negatives cancel each other out.

Step-by-step explanation:

The answer is 63.

A negative times a negative gives you a positive.

-9 x -7 brings you = 63.

Answer:

X & Y offer the same discount of 900

Step-by-step explanation:

[tex] \frac{1}{5} = \frac{3}{15} [/tex]

In this scenario, both shops offer the same discount.

[tex]4500( 1 - \frac{1}{5} ) = 3600 \\ \\ 4500(1 - \frac{3}{15} ) = 3600[/tex]

a = 15f

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line through the points:

Equation of line

Perpendicular line has a slope that is negative reciprocal to this one, so

This line has y-intercept of 4 as it passes through the point (0, 4)

So the line is:

Answer:

762*79=3871

7^2=49

Step-by-step explanation:

Answer:

7 x 7 x 79  x 7 x 7 = 1913597x^4

Step-by-step explanation:

Answer: Subtraction Property of Equality

Step-by-step explanation: The Subtraction Property of Equality tells us that

we can subtract the same quantity, or equal quantities,

from both sides of an equation.

To get from the statement 7x + 11 = 39 to 7x = 28,

we subtract 11 from both sides to get 7x = 28.

Answer:

x is less than or equal to 4

Step-by-step explanation:

Answer:

x is less than or equal to 4

Step-by-step explanation:

The inequality shown is the less than or equal to sign

Answer:

According to the question: 16-?=-2

Lets take the unknown value as 'x'

So, 16-x=-2

=  -x=-2-16

=  -x= -18

And now if we cancel the negative signs it will be, x= 18

Thus, we should subtract 18 from 16 to get -2

Angle BEC is congruent to angle DEC. The student's error lies in assuming that BC + CD = 2BC means that AB = 2BC, which is incorrect. The student concluded that AB = 2BC by incorrectly analyzing the given diagram.

The error can be explained as follows: Since EB is the perpendicular bisector of AD, AB = BD is true.

Angle BEC is congruent to angle DEC, which makes BC = CD true.

If BC + CD is added, it equals BD, which is also equal to AB. Consequently, BC + CD = AB. Also, BC + CD can be written as BC + BC = 2BC.

However, this does not imply that AB = 2BC, as the student incorrectly concluded.

It is because BC and CD are two separate line segments, and just because they have the same length does not imply that they add up to double their length.

So, the student's error lies in assuming that BC + CD = 2BC means that AB = 2BC, which is incorrect.

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The smallest is 1x2.

Answer:

3 books per month

Step-by-step explanation:

If Allison reads 9 books in 3 months and you need to know how many books she reads each month, just divide how many books she has read by how many months it took.

9 books / 3 months = 3 books per month

7/10

Step-by-step explanation: Your welcome

L*W=A

L*4/7=2/5

Answer:

See below

Step-by-step explanation:

Slope intercept form is

Slope= -3 passes through point (15, -50)

Slope = 1/2 with and x-intercept of (28,0)

Slope = 7 passes through (1,2)

Slope = -4 passes through (-2,5)

Slope = -2 with x-intercept of (-3,0)

Slope = 34 passes through the origin

Answer:

missing angle is A - 105

Step-by-step explanation:

angle TRS = 180-105 = 75 (all angles in a triangle add up to 180)

180 - 75 = 105 ) angles on a straight line add up to 180)

3.1 To derive the demand functions for donuts (q1) and coffee (q2), we need to maximize Maria's utility subject to her budget constraint. The budget constraint is given by p1*q1 + p2*q2 = M, where p1 and p2 are the prices of donuts and coffee, respectively, and M is Maria's weekly allowance.

To maximize utility, we set up the Lagrangian function:

L = U - λ(p1*q1 + p2*q2 - M)

Taking partial derivatives with respect to q1, q2, and λ, we get:

∂L/∂q1 = 20q1*q2 - λp1 = 0

∂L/∂q2 = 10q1^2 - λp2 = 0

∂L/∂λ = p1*q1 + p2*q2 - M = 0

From the first two equations, we can solve for λ:

20q1*q2 / λp1 = 10q1^2 / λp2

2q2 / p1 = q1 / p2

Substituting this into the budget constraint, we have:

p1*q1 + p2*(2q1/p1) = M

p1^2*q1 + 2p2*q1 = p1*M

q1 = p1*M / (p1^2 + 2p2)

Similarly, we can find q2:

q2 = (2q1 / p1) * (p1 / p2)

q2 = 2q1 / p2

Therefore, the demand function for donuts is q1 = p1*M / (p1^2 + 2p2), and the demand function for coffee is q2 = 2q1 / p2.

3.2 Given that p1 = $10, p2 = $5, and Maria's weekly allowance M = $90, we can substitute these values into the demand functions to find the optimal consumption of donuts and coffee:

q1 = (10*90) / (10^2 + 2*5) = 6

q2 = 2q1 / 5 = 2(6) / 5 = 2.4

Therefore, her optimal consumption is 6 donuts and 2.4 cups of coffee.

3.3 If Maria's weekly allowance increases to $120, the new optimal consumption can be calculated using the demand functions:

q1 = (10*120) / (10^2 + 2*5) ≈ 7.2

q2 = 2q1 / 5 = 2(7.2) / 5 ≈ 2.88

Similarly, when her weekly allowance increases to $150:

q1 = (10*150) / (10^2 + 2*5) ≈ 9

q2 = 2q1 / 5 = 2(9) / 5 = 3.6

To draw the Income Offer Curve, we can plot the combinations of q1 and q2 for different levels of Maria's weekly allowance on a graph. The x-axis represents the quantity of donuts (q1), and the y-axis represents the quantity of coffee (q2). We connect the optimal bundles obtained for each level of allowance, creating a curve that represents Maria's choices as her income changes.

3.4 The Engel Curve shows the relationship between income and the quantity demanded of a good while holding prices constant. By using the optimal consumption bundles for different levels of Maria's weekly allowance, we can plot the Engel Curve for

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Answer:

-2.7 is the correct answer.

The probability of randomly meeting a three-child family with either exactly one or exactly two boy children is 3/4.

The events described are non-overlapping. Let E be the event of randomly meeting a three-child family with exactly one boy child.

Let F be the event of randomly meeting a three-child family with exactly two boy children.

P(E) = probability of meeting a family with exactly one boy child

P(F) = probability of meeting a family with exactly two boy children

Given that the events E and F are non-overlapping.

So, we can use the formula of either/or probability:

P(E or F) = P(E) + P(F)P(E or F)

= probability of meeting a family with exactly one or two boy children

P(E or F) = P(E) + P(F)P(E or F)

= (number of ways to get a family with exactly one boy child) / (total number of three-child families) + (number of ways to get a family with exactly two boy children) / (total number of three-child families)

P(E or F) = (3 * 2 * 1) / (2 * 2 * 2 * 3) + (3 * 2 * 1) / (2 * 2 * 2 * 3)

P(E or F) = 6/8

P(E or F) = 3/4

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The given focus point is (−3,3), and the directrix equation is y=7.Let P(x,y) be any point on the parabola. The perpendicular distance of P from directrix is y-7. Similarly, distance between point P and the focus is PF.

See the diagram below, to understand the scenario:As the parabola is symmetric about the directrix, the distance between the point P and directrix is equal to the distance between the focus and the point P.So, the distance PF is equal to y−7. Using the distance formula, find PF:PF =  [(x−(−3))^2 + (y−3)^2]^(1/2)PF^2 = (x+3)^2 + (y−3)^2

Next, use the definition of the parabola and substitute PF^2 = 4a(y−k),where (h,k) are the vertex and a is the distance between the vertex and focus. Thus, the vertex is (-3,5) (as the directrix is y=7), a = 2 (PF = 2), and the equation of the parabola can be expressed in the form y = a(x−h)^2 + k.y = 1/8(x+3)^2- 5Thus, the required equation of the parabola is y = 1/8(x+3)^2- 5.

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Answer:

x=-7

Step-by-step explanation:

-2(x+3)=8

-2x-6=8

-2x=8+6

-2x=14 -2x/-2=14/-2

x= -7

if you want to be sure do the following

-2(-7+3)=8

-2(-4)=8

8=8

Answer:

11

Step-by-step explanation:

is right?

Answer:

let x be.the number, then

x^2 * (-11) = -11x^2