Evaluate the function for the indicated input

Answer:

5, 8, 3, 10 lbs.

Step-by-step explanation:

We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].

Our equations are thus:

[tex]a + b + c + d = 26[/tex]

[tex]a = 3c - 4[/tex]

[tex]d = 2a[/tex]

[tex]b = c + 5[/tex]

So now we just need to solve this system of equations.

We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.

First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].

[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]

And now we put the three equations into the first equation:

[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]

Then we simplify to get:

[tex]11 c - 7 = 26[/tex]

[tex]11c = 33\\c = 3[/tex]

So we know pumpkin [tex]c[/tex] weighs 3 pounds.

Then we use the equations from before to get the value of the other pumpkins:

[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]

And we can check our results by putting into first equation:

[tex]5+8+3+10=26[/tex]

So it works out!

Thus our pumpkins weigh 5, 8, 3, 10 lbs each.

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer:

u,

Step-by-step explanation:

Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

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

8t ≤ 48

÷8    ÷8

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

t ≤ 6

Answer:

49

Step-by-step explanation:

98-x2=0

-98    -98

[tex]\frac{x2}{2}[/tex]     [tex]\frac{98}{2}[/tex]

    49

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

Answer:

m=slope  y = intercept

m= y2-y1 / x2-x1

       2-1   /   2-0  =  1 /2

now pick one of the points and put in for y and x

use (2,2)    2= 1/2(2) +b

                  2=1 + b

              2-1 =1-1 +b   subtract 1 from each side

                  1 = b   This is your y intercept

Step-by-step explanation:

The equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= 2-1   /   2-0  =  1 /2

Now pick one of the points and put in for y and x use (2,2).

2= 1/2(2) +b

2=1 + b

2-1 =1-1 +b   subtract 1 from each side

1 = b   This is your y-intercept

The equation will be written as:-

y = ( 1 / 2) x + 1

Therefore, the equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1.

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It is easiest to solve this system by elimination.

4x-8y=44

(2x+4y=-6) -2    ----> multiply the second equation by -2 to create equations where the x coefficients are opposites

     4x-8y=44

(+) -4x-8y=12

-16y=56

y = -7/2

now substitute the value of y into one of the above equations and solve for x

4x – 8(-7/2) = 44

4x + 28 = 44

4x = 16

X = 4

So, the solution is (4, -7/2)

The solution of the  system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).

Two or more expressions with an Equal sign is called as Equation.

The given system of equation is 4x-8y=44 ...(1)

and 2x+4y=-6...(2)

To eliminate y term we have to multiply equation 2 with 2.

4x+8y=-12..(3)

Now add equation 1 and 3.

4x-8y+4x+8y=44-12

8x=32

Divide both sides by 8

x=4

Now plug in x value in equation 1

4(4)-8y=44

16-8y=44

Subtract 16 from both sides

-8y=44-16

-8y=28

Divide both sides by 8

y=-28/8

y=-7/2

=-3.5

Hence, the solution of the  system of equations is (4, -3.5).

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Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]

[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]

The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.

[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]

Now let's plug that to our equation.

[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]

[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.

Answer:

D

Step-by-step explanation:

Slope

All answers agree that the slope = - 3

y intercept

So far what you know is that the line is

y = -3x + b

The point shows that

5 = -3*2 + b                    Combine right

5 = -6 + b                        Add 6 to both sides

5 + 6 = -6+6 + b             Combine

11 = b

So the y intercept = 11

Answer: y = -3x + 11              D

Answer:

6/5

Step-by-step explanation:

hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:

9/10 * 4/3

now, we can multiply the numerators and denominators.

36/30

we can simplify this.

6/5

Answer:

Step-by-step explanation:

Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.

The sum of the three internal angles of a triangle is of 180º.

Hence, the measure of the remaining interior angle is given by:

60º + 61º + x = 180º

x = 59º.

Two angles are supplementary if the sum of their measures is of 180º.

An interior angle is supplementary with it's respective exterior angle, hence:

m<1 + 59º = 180º

m<1 = 121º.

The measure of angle 1 is of 121º.

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Answer:

625

Step-by-step explanation:

625

[tex] \sf \: 3x + x \sqrt{3} - 2 = 0 \\ \\ \sf \longrightarrow 3x + \sqrt{3} x = 2 \\ \\ \sf \longrightarrow \sqrt{3}x ( \sqrt{3} +1 ) = 2 \\ \\ \sf \longrightarrow \sqrt{3} x = \frac{2}{ \sqrt{3} + 1 } \\ \\ \sf \longrightarrow x = \frac{2}{ \sqrt{3}( \sqrt{3} + 1) } \\ \\ \sf \longrightarrow x = \frac{2}{3 + \sqrt{3} } \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = \frac{2(3 - \sqrt{3} )}{(3 + \sqrt{3})(3 - \sqrt{3} )} \\ \\ \sf \longrightarrow x = \frac{6 - 2 \sqrt{3} }{ {3}^{2} - {( \sqrt{3}) }^{2} } \\ \\ \sf \longrightarrow x = \frac{6 - 2(1.732)}{9 - 3} \\ \\ \sf \longrightarrow x = \frac{2.536}{6} \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}[/tex]

Answer:

D is correct

Step-by-step explanation:

p=q  then q is the same as p and if r=p that is true

Answer:

She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.

Step-by-step explanation:

40 x 0.35 = 14

20 x 0.15 = 3

$14 + $3 = $17

40 ($0.35) + 20 (0.15) = 60 stamps

Answer:

A) Spin or turn

Step-by-step explanation:

Answer:

9x + 4

Step-by-step explanation:

Step 1: Write expression

4x - 2 + 5x + 6

Step 2: Combine like terms (x)

9x - 2 + 6

Step 3: Combine like terms (constants)

9x + 4

Answer:

9x + 4

Step-by-step explanation:

Answer:

y=14

Step-by-step explanation:

measure of a=50degrees b=50 degrees c=(5(14)+10) =80

50+50+80=180

Answer:

Y= 14

Step-by-step explanation:

a=50degrees

b=50 degrees

c=(5(14)+10) =80

50+50+80=180

The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

In other meaning, standard deviation shows the deviation of the value of data from the mean.

Standard deviation is how much-given data is deviate from the mean of it.

So the difference between the longest to shortest gives an idea about this deviation.

Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".

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Answer:

A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd

Step-by-step explanation:

Answer:

Since we are given that angle Y = angle Z

The magnitude of the angles will also be equal

∠Y = ∠Z

(x + 10) = (2x - 90)

90 + 10 = 2x - x

100 = x

Answer:

5 units

Step-by-step explanation:

d=

[tex] \sqrt{(x2 - x1}^{2} ) + \sqrt{(y2 - y1) {}^{2} } [/tex]

Given:

Length of taller tree = 50 feet

Length of shorter tree = 20 feet

Length of shadow of taller tree = 18 feet

To find:

The length of shadow of shorter tree.

Solution:

Since, two trees standing side by side in the sunlight, therefore the length of trees are proportional to their shadows.

Let the length of shadow of shorter tree be x feet.

Using the given information, we get

[tex]\dfrac{50}{18}=\dfrac{20}{x}[/tex]

By cross multiplication, we get

[tex]50\times x=20\times 18[/tex]

[tex]50x=360[/tex]

[tex]x=\dfrac{360}{50}[/tex]

[tex]x=7.2[/tex]

Therefore, the length of shadow of shorter tree is 7.2 feet.

Answer:

i am pretty sure it's -14.92

Step-by-step explanation:

Answer:

B!!!

Step-by-step explanation:

Answer:

uhh how am i suposed to know that u ahve o image