What is the solution to the system of equations graphed below? y = –4x + 33

Answer:

Part 1) The value of x is 50°

Part 2) The measure of angle LOK is 114°

Option C

Step-by-step explanation:

we know that

if two angles are supplementary, then their sum is equal to 180 degrees

so

(x+64)°+66°=180°

solve for x

x+130°=180°

x=180°-130°=50°

Find the measure of angle LOK

∠LOK=(x+64)°

∠LOK=(50+64)°=114°

Answer:

11%

Step-by-step explanation:

450-400=50, Amount of difference.

Actual volume, 450 in^3.

[tex](\frac{50}{450} )*100=100*(\frac{1}{9} )[/tex]

11%

The answer is D

0 is not less than or equal to -4, and in the second equation, 0 is greater than -1

Answer:

D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].

Step-by-step explanation:

We are given the following system of equations and we are to determine if (0, 0) is its solution or not:

[tex]y\leq x^2-4[/tex]

[tex]y>2x-1[/tex]

Substituting the given point [tex](0, 0)[/tex] in both the equations to check if it satisfies them.

[tex]y\leq x^2-4[/tex] [tex]\implies[/tex] [tex]0\leq (0)^2-4 \implies 0\leq -4[/tex] - False

[tex]y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10[/tex] - True

Therefore, the correct answer option is D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].

Answer:

6x²

Step-by-step explanation:

to find the GCF we look at the terms and see what they have in common

we see that the greatest number both can be divided by is 6

we also look at the variables. both contain an x², so we can factor out as well

the answer would be 6x²

Answer: nina is getting $15 for 1 lawn.

Step-by-step explanation:

1      $15

2     $30

3     $45

4     $60

Answer:

C. 2.1 g/cm^3

Step-by-step explanation:

The density of an object is its mass per unit volume.

The formula for density is:

[tex]D=\frac{M}{V}[/tex]

The object has a mass of 4.2 grams.

[tex]\implies M=4.2g[/tex]

and a volume of 2 cubic centimeters

[tex]\implies V=2cm^3[/tex]

We substitute the known values into the formula to get:

[tex]D=\frac{4.2}{2}gcm^{-3}[/tex]

We simplify to obtain:

[tex]D=2.1gcm^{-3}[/tex]

Answer:

2.1 g/cm^3 so its c

Answer:

The distance between two points is √58 or 7.61.

Step-by-step explanation:

In the question we need to find the distance between two points 4,1 and -3,-2 given.

Distance between two points can be found using the formula:

[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]

Putting the given points in the formula we get,

x₂ = -3, x₁ = 4, y₂= -2, y₁= 1

[tex]=\sqrt{(-3-(4))^2 + (-2-(1))^2} \\=\sqrt{(-3-4)^2 + (-2-1)^2}\\=\sqrt{(-7)^2 + (-3)^2}\\=\sqrt{49 + 9}\\=\sqrt{58}\\=7.61[/tex]

So, the distance between two points is √58 or 7.61.

Answer:

a

Step-by-step explanation:

Answer:

I would say A

Step-by-step explanation:

Answer:

Sales : $4.96

Total : $66.96

Step-by-step explanation:

To find the sales tax, just multiply the tax rate by the purchase price.

8.0% = 0.08

[tex]62*0.08=4.96[/tex]

So the sales tax is $4.96.

To find the total price, we can multiply the purchase price by the tax rate + 1.

[tex]62*1.08=66.96[/tex]

Or if you are not comfortable with that, you can add the sales tax and the purchase price.

[tex]62+4.96=66.96[/tex]

So the total price is $66.96

66.69

Because add the total together to get it

Answer:

Third one down.

Step-by-step explanation:

Answer:

Third One

Step-by-step explanation:

Answer:*fraction

Step-by-step explanation: I hope you get your answer soon

Final answer:

By completing the square, the quadratic function x² + 8x + 6 can be rewritten as (x + 4)² - 10. The minimum value of the function is at -10, corresponding to option D.

Explanation:

To determine the maximum or minimum value of the quadratic function represented by the expression [tex]x^2 + 8x + 6[/tex], we should complete the square. This method involves creating a perfect square trinomial from the given quadratic expression, which allows for easy identification of the vertex of the parabola that represents the function graphically.

We start by taking the coefficient of the x-term (which is 8), dividing it by 2, and then squaring it to get 16. Then we add and subtract this value within our expression, which gives us:

[tex]x^2 + 8x + 16 - 16 + 6[/tex]

The expression now becomes:

( [tex]x^2 + 8x + 6[/tex]) - 10

This simplifies to:

(x + 4)2 - 10

Now that we have a perfect square, we can see that the vertex is at (-4, -10), which represents the minimum value of the function since the coefficient of the [tex]x^2[/tex] term is positive, indicating a parabola that opens upward.

Therefore, the correct answer is:

D) minimum value at − 10

Answer:

The answer is "It is not a valid sample because it is not a random sample of the population".

Step-by-step explanation:

I had this test and that was my answer, and it was correct.

when they are equal

A proportion is when two ratios are equal.

For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.

The median measurement of the capsules is 2317 mg, which is the average of the fourth and fifth values when listed in order. The mean measurement is also 2317 mg, found by summing all measurements and dividing by the total number of samples.

To find the median measurement of the pharmacist's recorded capsule weights, we first list the measurements in numerical order: 2310 mg, 2312 mg, 2313 mg, 2315 mg, 2319 mg, 2320 mg, 2321 mg, 2325 mg. Since there are eight measurements (an even number), the median is the average of the fourth and fifth measurements: (2315 mg + 2319 mg) / 2 = 4634 mg / 2 = 2317 mg. Therefore, the median measurement is 2317 mg.

To calculate the mean measurement, we sum all the measurements and then divide by the number of measurements: (2312 mg + 2313 mg + 2315 mg + 2321 mg + 2325 mg + 2310 mg + 2320 mg + 2319 mg) / 8 = 18535 mg / 8 = 2316.875 mg. The mean measurement, rounded to the nearest milligram, is 2317 mg.

2403/4.5= 534 filling in the rest of the 20 charters needed

Answer:

534 miles per hour

Step-by-step explanation:

To find the speed, we take the miles and divide by the hours

2403 miles/ 4/5 hours

534 miles per hour

Answer: C. R

Step-by-step explanation:

R changes depending what m is. (It is also the y variable which is always dependent)

Answer:

10

Step-by-step explanation:

the sum of interior angle and exterior angle = 180°

ext + 108 + ext = 180

2 ext + 108 = 180 (subtract 108 from both sides )

2 ext = 72 (divide both sides by 2 )

ext = 36

The sum of the exterior angles of a polygon = 360°, hence

number of sides = [tex]\frac{360}{36}[/tex] = 10

Answer:

96 is the measure of 3 angles. It has 3 sides since its a regular polygon.

Step-by-step explanation:

Sorry for taking so much time, I had to go AFK. But, here's the explanation:

Each exterior angles always measures 360 degrees and interior angles measure 180. Always.

The sides of a regular polygon is 3.

Now, they asked us to add 108+180 which gives us 288 degrees.

we divide 288÷3(the sides of the polygon) and we get 96 is the measure of three angles.

Answer:

.4 meters

Step-by-step explanation:

1.2-.8=.4

0————.4————.8————1.2

Answer:

0.4 meters

Step-by-step explanation:

We can use a number line:

<----| - | - | - | - | - | - | - | - | - | - | - | - | -------->

     0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1 1.1 1.2

If you count the number of dashes between 0.8 and 1.2, there will be four of them. The answer is 0.4 meters.

The simplified form of the expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] is [tex]\(30x + 15k\)[/tex].

To simplify the given expression, combine like terms. Like terms are terms that contain the same variables raised to the same power. Here, [tex]\(13x\)[/tex] and [tex]\(17x\)[/tex] are like terms because they both contain the variable [tex]\(x\)[/tex], and [tex]\(9k\)[/tex] and [tex]\(6k\)[/tex] are like terms because they both contain the variable [tex]\(k\)[/tex].

First, add the coefficients of the like terms with the variable [tex]\(x\)[/tex]:

[tex]\[ 13x + 17x = 30x \][/tex]

Next, add the coefficients of the like terms with the variable [tex]\(k\)[/tex]:

[tex]\[ 9k + 6k = 15k \][/tex]

Putting it all together, the simplified expression is:

[tex]\[ 30x + 15k \][/tex]

This is the final simplified form of the given expression.

The complete question is:

Simplify the following expression  [tex]\((13x + 9k) + (17x + 6k)\)[/tex] ?

Answer:

Step-by-step explanation:

Actually, none of these represent direct proportion, because each one involves adding or subtracting an offset.

The last answer is closest to being a proportional relationship:

$1.75 per pound → Total cost = ($1.75/lb)x, where x is the number of pounds.  This line would go through the origin, as it must, for the relationship to be proportional.  But as soon as we add in or subtract that $1 coupon, this is no longer a proportional relationship.

Answer:

40%

Step-by-step explanation:

Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).

How many routes can she take that will take her 30-mins to get home?

The answer is 2.

What's the probability she will take 2 of the 5 routes to get home?

The probability is 2/5 so 40%.

The rounding instruction was there to mislead you in this case :-)

twenty four divisible by six, if that what u meant . or 24÷6

Answer:

18 sq. units

Step-by-step explanation:

Height would be 6 and Length would be 3

6 x 3 = 18

For further help, use a coordinate grid and plot the points

Answer:

9 units

Step-by-step explanation:

We need to find the last point. This is a rectangle. We already have 3 corners. We need the opposite corner to (0,0). One corner has an x of 3 and a y of 0, another corner has a x of 0 and a y of 6.

We therefore know the fourth corner/point is (3, 6)

Now we can properly visualize the rectangle. If the rectangle has a corner at the origin, we can just use a formula and the other corner to find the area.

Area (rectangle) = 1/2 x length x width

The length will be the difference between the two x points (0 and 3) and the width will be the difference between the two y points (0 and 6).

Length = 3

Width = 6

Area = 1/2 x 3 x 6

Area =  9 units

The answer is:

The second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0,  and the line cuts the x-axis and the y-axis at "-2", for the second line shown,  we have that is decreasing but exists from 0 (including it) to the the positive numbers.

So, finding which piecewise satisfies the function shown, we have:

- First piecewise function:

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {\frac{x}{2} }\geq 0} \right.[/tex]

First line,

We have the first line,

[tex]-x-2<0\\[/tex]

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.

Second line,

[tex]\frac{x}{2}\geq 0[/tex]

The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

First line,

We have the first line,

[tex]-x-2<0\\[/tex]

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

[tex]-\frac{x}{2}\geq 0[/tex]

The variable has a negative coefficient ([tex](-\frac{1}{2})[/tex], meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.

Hence, we have that the correct option is the second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

Note: I have attached a picture for better understanding.

Have a nice day!

Answer:

Step-by-step explanation:

We must calculate the probability that the cows have a gestation time of less than 270 days. If X represents the gestation time of a randomly selected cow, then we look for:

[tex]P (X <270)[/tex]

Acora we calculate the Z-score

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

In this case

[tex]\mu=284\ days\\\\\sigma = 12\ days[/tex]

So

[tex]P (X <270) =P (\frac{X-\mu}{\sigma} <\frac{270-284}{12})=P(Z<-1.167)[/tex]

Looking in the normal standard table we have to

[tex]P(Z<-1.167)=0.1216[/tex]

Finally, the expected number of calf "E" that will have a gestation time of less than 270 days is:

[tex]E=820*P (X <270)\\\\E=820*0.1216[/tex]

E=99.71≈100 Calfs

The calculated expected value for the private investigator's job is -$2,000, suggesting an expected loss. Therefore, the detective should not take the job based solely on the provided financial information.

To determine whether the private investigator should take the job, we need to calculate the expected value of the job based on the probabilities and payoffs provided.

Here is the calculation:

The expected value (EV) is thus calculated as:

EV = (Probability of Success) × (Gain) + (Probability of Failure) × (Loss)

EV = (0.1) × $70,000 + (0.9) × (-$10,000)

EV = $7,000 - $9,000

EV = -$2,000

Since the expected value is negative, the detective should not take the job based on this information alone, as it represents an expected loss.

Answer:

27

Step-by-step explanation:

because 6×4 is 24 and 24+3 =27

Answer:

The answer is 27

Step-by-step explanation:

Using Pemdas (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) 6 x 4= 24 then 24 + 3= 27.

Hope this helps. Please name me Brainliest

Answer:

the variable is "b"

Step-by-step explanation: