Evaluate the following expression for x = 1 and y = -3.
3yºx+x-y

56

a = 18

18 and 43 is 124

180 minus 124 is 56

Answer:

110° and 70°

Step-by-step explanation:

The angles are supplementary, thus sum to 180°

sum the parts of the ratio, 11 + 7 = 18

divide 180° by 18 to find the value of one part of the ratio

180° ÷ 18 = 10° ← value of 1 part of the ratio

Thus

11 parts = 11× 10° = 110°

7 parts = 7 × 10° = 70°

The angles are 110° and 70°

Answer:

c = 7

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 5x + 7 = 0

c = 7

Answer:

B. [tex](3x-4)(x+1)[/tex]

Step-by-step explanation:

Answer:

Jada's book was overdue by 1 more day than Juan's book.

...................

Answer:its A

Step-by-step explanation:

i took the quiz

Answer:

got it

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

It is given that,

[tex]P(A)=\dfrac{1}{4}[/tex]

[tex]P(B)=\dfrac{13}{20}[/tex]

It is given that events A and B are mutually exclusive. It means they have no common elements.

[tex]P(A\cap B)=0[/tex]

We know that,

[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting the values, we get

[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]

[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]

[tex]P(A\cup B)=\dfrac{18}{20}[/tex]

[tex]P(A\cup B)=\dfrac{9}{10}[/tex]

Therefore, the correct option is C.

The P (A or B) should be [tex]\frac{9}{10}[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Answer:

4x+11

Step-by-step explanation:

you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.

so you just have to add 7+4

4x+11

I hope this helps

Step-by-step explanation:

hope this may help you tq

Answer:

C, at 0/25, 1/20, 2/15, 3/10,...

Answer:

C

Step-by-step explanation:

Answer:

y = 0.732

Step-by-step explanation:

log3²(5) = y

(1/2) × log3(5) = y

y = (1/2) × log3(5)

y = 0.732487

y = 0.732 ( 3 sig.fig )

Answer:

4th option

Step-by-step explanation:

The range is the values of y covered by the graph

The lowest value is a solid dot at y = 2, indicating that y can equal 2.

The graph then increases upwards to infinity.

The range is all real numbers greater than or equal to 2

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.

Answer:

true

Step-by-step explanation:

it is true because there is one input for y output

Answer:

True

Step-by-step explanation:

This is a function.  Each value of x goes to only one value of y

Answer:

f(-2)=13

Step-by-step explanation:

We are given the function:

f(x)= 5-4x

and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.

We must substitute -2 in for each x.

f(-2)= 5 - 4(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 4 and -2.

⇒ 4 * -2 = -8

f(-2) = 5 - -8

Two negative signs in a row become a positive sign.

f(-2)= 5+8

Finally, add 5 and 8.

f(-2)= 13

The function f(x)= 5-4x evaluated for f(-2) is 13.

Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

Learn more about triangles:

https://brainly.com/question/17335144

#SPJ1

Part (a)

Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.

We'll need to find the slope of line RI, so we'll need the slope formula

R = (x1,y1) = (-2,-2)

I = (x2,y2) = (4,1)

m = slope of line RI

m = (y2-y1)/(x2-x1)

m = (1-(-2))/(4-(-2))

m = (1+2)/(4+2)

m = 3/6

m = 1/2

m = 0.5

The slope of line RI is 1/2 or 0.5

Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.

Turn to point slope form

y - y1 = m(x - x1)

y - (-2) = 0.5(x -(-2))

y + 2 = 0.5(x + 2)

y + 2 = 0.5x + 1

y = 0.5x + 1 - 2

y = 0.5x - 1

This is the equation of line RI. We'll use it later.

----------

We found that the slope of line RI was 1/2.

The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.

The perpendicular slope is -2. This is the slope of altitude AT.

We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.

We'll turn to the point slope form

y - y1 = m(x - x1)

y - 4 = -2(x - (-2))

y - 4 = -2(x + 2)

y - 4 = -2x - 4

y = -2x - 4 + 4

y = -2x

The equation of the line that goes through points A and T is y = -2x.

----------

To summarize so far, we have these two equations

Apply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.

y = 0.5x - 1

-2x = 0.5x - 1

-2x-0.5x = -1

-2.5x = -1

x = -1/(-2.5)

x = 0.4

Then we can determine y like so

y = -2x

y = -2(0.4)

y = -0.8

Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.

===============================================================

Part (b)

To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.

A = (x1,y1) = (0.4, -0.8) ... found back in part (a)

T = (x2,y2) = (-2, 4) ... given

[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]

The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.

Answer:

[tex] IJ = 2(KL) [/tex]

Step-by-step explanation:

From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.

Therefore, line IJ would be twice the length of KL.

The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]

Step-by-step explanation:

First draw a lign segment like DF

Next keep the point on D make an arc by increasing the length of compass

As same keep the point on F make an arc lile same as before

Next there is apoint name it as any meeting on drew arc

connect it to the point with P

Answer:

7 * 4 / 2 = 28/2 = 14

Step-by-step explanation:

You are timed. I will just give you the formula where its multiplying the Diagonals and dividing by 2.

x= -4 w= 1 z= -3 y= 5

This is the answer!

Equation representing the relation between the cost and the weight of the chicken has been given as,

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

https://brainly.com/question/11903729

Answer:

3 mph

Step-by-step explanation:

Let the speed of the river's current be x

Upstream (against the river's current)

Resultant velocity = 6 - x

Distance covered = (6-x)t

10.5 = (6-x)t

t = 10.5/(6-x)

Downstream (with the river's current)

Resultant velocity = 6+x

Distance covered = (6+x)t

t = 31.5/(6+x)

Therefore.......

10.5/(6-x) = 31.5/(6+x)

10.5(6+x) = 31.5(6-x)

63 + 10.5x = 189 - 31.5x

Collect like terms

42x = 126

x = 3 miles per hour

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

Answer:

L=7 units and B=3 units

Step-by-step explanation:

L=B+4 ... Equation 1

P = 20

P=2(B+L)... Equation 2

20=2(B+B+4)... Substituting equation 1 to equation 2

20=2(2B+4)

20=4B+8

20-8=4B

12=4B

12/4=4B/4

B=3... Solve for B

L=B+4

L=3+4

L=7... Solve for L

Answer:

a) 3 x 20 = 60

b) -2x20 = -40

question c and d are unclear as we do not know how many questions were wrong and how many were not answered.

Sorry but I hope that helped

Answer:

a)  60 points

b)  0 point

c)  22 points

d)  -11 points

Step-by-step explanation:

a)  20 * 3 = 60 points (all answered correct)

b)   0 point (Minimum score if you don't answer any of the questions)

c)  10 * 3 = 30 points

    (14 - 10)  * -2 = -8 points

    right minus wrong =  30 - 8 = 22 points  

d)  5 * 3 = 15 points

    (18 - 5) * -2 = -26 points

    right minus wrong = 15 - 26 = -11 points

Answer:

a = – 8

Step-by-step explanation:

From the question:

When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.

To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:

x – 1 = 0

x = 0 + 1

x = 1

Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:

2x³ – ax² + 4x – 4 = 10

x = 1

2(1)³ – a(1)² + 4(1) – 4 = 10

2 – a + 4 – 4 = 10

2 – a = 10

Collect like terms

– a = 10 – 2

– a = 8

Divide through by –1

a = – 8

Therefore, the value of a is –8.

Answer:

823.7 m^2

Step-by-step explanation:

The ratio of the side lengths is 6/5.

The ratio of the areas is the square of the ratio of the side lengths, 36/25.

572 m^2 * 36/25 = 823.7 m^2

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

Answer:

$8

Step-by-step explanation:

$96 divided by 12

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex]  [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex]  [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex]  [tex]= \frac{10}{16} =\frac{5}{8}[/tex]

Answer:

(-6x+8)-(7x+2)

4 -6x + 8 -7x - 2

= -13x + 6

Answer:

Step-by-step explanation:

(-6x + 8) - (7x + 2) = -6x + 8 - 7x - 2   {Distribute property}

                            = (-6x - 7x) +( 8 - 2)  {Combine like terms}

                           = -13x + 6