solve each system of equation by elimination
{y=-x+1
{y= 4x-14

Answer:

Step-by-step explanation:

switch the x and f(x) values

x=y^3+4

subtract4

x-4=y^3

cube root

cube root(x-4)=y

Answer:

[tex] \sf \: {7a}^{2} + 6a + 4 [/tex]

Step-by-step explanation:

Given expression,

→ 1 + 5a + 7a² + a + 3

Let's simplify the expression,

→ 1 + 5a + 7a² + a + 3

→ (7a²) + (5a + a) + (1 + 3)

→ (7a²) + (6a) + (4)

→ 7a² + 6a + 4

Hence, answer is 7a² + 6a + 4.

Answer:

The cone has a volume of approximately 982.5 cubic centimetres.

* That answer sounds off to me, but I'm not sure.  You might want to run through the logic yourself and see if you get the same results.

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:

[tex]v = \pi r^{2} \frac{h}{3}[/tex]

But before using that, we need to know the value of h, height.  What we are instead given is the slant height, or the length from tip to edge.

We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.

To get the height then we can say

[tex]h = \sqrt{s^{2} - r^{2}}[/tex]

Where h is height, s is slant, and r is radius.

[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]

[tex]h = \sqrt{219.04 - 196}[/tex]

[tex]h = \sqrt{23.04}[/tex]

[tex]h = 4.8[/tex]

A very squat cone indeed.

Now we can plug that and the radius into the actual cone equation:

[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]

[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:

Step-by-step explanation:

a)

x= gourmet pretzels

y= boxes of strawberries

system will be:

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]

b)

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]

a box of strawberries is 6.5

Answer:

they are parallel lines with a crossing line creating a 90 degree angle

The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.

What is converse of consecutive interior angle theorem ?

As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.

Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.

Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.

check and know more about angles here :

https://brainly.com/question/7116550

#SPJ5

47 miles

Step-by-step explanation:

since 2 hours is 94 miles and 4 hours is 238 miles, you can take the 94 and divide by 2 to get how many miles for 1 hour.

The average rate of change will be;

⇒ 72 miles per hour

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles.

Now,

Since, We know that;

⇒ Speed = Distance / Time

Hence, We can formulate;

⇒ The average rate of change = (238 - 94) / (4 - 2)

                                                = 144 / 2

                                                = 72

Thus, The average rate of change will be;

⇒ 72 miles per hour

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

Equivalent measurements: teaspoon, ounce, pint, pound

You will find a table of equivalent measurements in the back of many cookbooks:

1 tablespoon = 3 teaspoons  

      1 cup = 16 tablespoon = 8 ounces  

    1/4 cup = 4 tablespoons  

    1/3 cup = 5 tablespoons plus 1 teaspoon  

     1 pint = 2 cups = 16 ounces  

    1 quart = 4 cups (2 pints) = 32 ounces  

   1 gallon = 4 quarts

    1 pound = 16 ounces

  1/2 pound = 8 ounces

  1/4 pound = 4 ounces

Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.

Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:

Measurement    1/2 Measurement

1/8 teaspoon   just a dash

1 tablespoon   1 1/2 teaspoons

1/4 cup        2 tablespoons

1/3 cup        2 tablespoons + 2 teaspoons

3/4 cup        6 tablespoons

Step-by-step explanation:

Answer: 6 (z+13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

10-z=6

We move all terms to the left:

10-z-(6)=0

We add all the numbers together, and all the variables

-1z+4=0

We move all terms containing z to the left, all other terms to the right

-z=-4

z=-4/-1

z=+4

Answer:

No solutions

Step-by-step explanation:

-3(x - 2) + x = -2x - 6

Distribute the left side

-3x + 6 + x = -2x - 6

Combine like terms

-2x + 6 = -2x - 6

Add 2x to both sides

6 = -6

There are no solutions to this problem

Answer: 5, 10, 15, 20, 25, 30, & 35

Answer:

35,30,25,20,15,

Step-by-step explanation:

BRAAINLIEST PLS

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Therefore the image point of (1, 2) is (6, 5)

Given point is (1, 2) considered as (x, y)

We know that in the coordinate axis horizontal line represents the x-axis and the vertical line represents the y-axis.

In that, a point that moves right means it goes positive x-axis.

If the point moves left means it goes negative x-axis.

If the point moves up means it goes positive y-axis.

If the point moves down means it goes negative y-axis.

By using the above points we can solve this question as

Given we need to find the image point of (1, 2) after a translation right 5 units and up 3 units.

Now the point on the x-axis changes to 5 units right as

= x + 5

= 1 + 5

= 6

Now the point on the y-axis changes to 3 units up as

= y + 3

= 2 + 3

= 5

Therefore the image point of (1, 2) is (6, 5).

To learn more about the image of points refer below

https://brainly.com/question/16775321

#SPJ9

Answer:

You could just ask a tutor to help you with it on Brainly.com

Step-by-step explanation:

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

The x ≤ 58 in interval notation = (-∞, 58]

In this question, we have been given an inequality  x ≤ 58

We need to write given inequality in interval notation form.

We know that, an interval notation a way to describe a subset of real numbers by the numbers that bound them.

If we draw given inequality on the number line, then it would be as shown below.

x ≤ 58 represents that, x takes all values which are less than or equal to 58.

So, the interval notation would be (-∞, 58]

Therefore, the x ≤ 58 in interval notation = (-∞, 58]

Learn more about the interval notation here:

https://brainly.com/question/16768997

#SPJ1

Answer:

A

Step-by-step explanation:

The town A is symmetric the town B i skrewed positevly

I hope I helped and have a a great dayyyy

Answer:

(D)

Step-by-step explanation:

The answer is (D).

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

IT'S BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

edge2021 ;)

Answer:

105

Step-by-step explanation:

straight line would be 180 degrees

subtract 180-75=105 ^_^

Answer: 4

Step-by-step explanation: once you sub in 9 for a, you'll get -4. However, the absolute value of -4 is 4.

Answer:

C. 3,094 km in 12 hr

Step-by-step explanation:

we need to find kilometer per 1 hour so

2983/5=596.6 kilometers per hour

5,193/7= 741.857142857 km per hour

3,094/12=257.833333333 km per hour

1,784/3=594.666666667 km per hour

now which number is lowest

third one

Have a wonderful day! ask me if you have more questions

Answer:

x=2

y=7

Step-by-step explanation:

Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:

9 = y+2

and

2y = 7x

Using algebra we can solve the first equation:

9 = y+2

9-2 = y

7 = y

Now we can use substitution:

2y = 7x

2(7)=7x

14=7x

x=2

Answer:

The most general convention is that the orientation of a vector is the angle of rotation in the counterclockwise direction of the vector with respect to the East.

Step-by-step explanation:

Answer:

its a smg

Step-by-step explanation:

its a man made tool

The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
when x = -4 and y = 4.

Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4

Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Answer:

20 units (I used units because that's what i was taught when there isn't a specific unit)

Step-by-step explanation:

If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.

6x - 3 = 4x + 9

And now we simplify.

6x - 3 = 4x + 9

-4x         -4x

--------------------

2x - 3 = 9

    +3     +3

-------------------

2x = 12

÷2      ÷2

---------------

x = 6

To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20

Answer:

The measure of the 2 angles are 90° and 35°.

Step-by-step explanation:

The sum of angles in a triangle is 180°.

2x + x - 10 + 55 = 180

Simplify.

3x + 45 = 180

Find 3x.

3x = 180 - 45

    = 135

Find x.

x = 135 ÷ 3

x = 45

2x° = 45° × 2

     = 90°

(x-10)° = 45° - 10°

          = 35°

Answer: x=45

Step-by-step explanation:

2 times 45 is equal to 90

45-10 is equal to 35

55+90+35=180

Answer:

70%

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

calculator