solve this system using substitution x+5y=-32 y=3x

Answer:

A) an enlargement

Step-by-step explanation:

Answer:

A. an enlargement

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.

2x^2+5x

x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2

Answer:

[tex]x = 0, -\frac{5}{2}[/tex]

Step-by-step explanation:

First move all terms to one side of the equation to set them equal to 0

That is already done in your problem

The try to factor, if possible.  In your case, factor out x

x(2x + 5) = 0   Now, use the property that says if AB = 0, then A = 0 or B = 0 or both A and B equal 0

So, x = 0    or   2x + 5 = 0

                             2x = -5

                               x = [tex]-\frac{5}{2}[/tex]

Always check your results in the original equation to see if they work

[tex]2(0^{2} + 5(0) = 0 + 0 = 0\\[/tex]

and [tex]2(-\frac{5}{2} )^{2} + 5(-\frac{5}{2} )\\ = 2(\frac{25}{4} ) - \frac{25}{2} \\ = \frac{25}{2} - \frac{25}{2} = 0[/tex]

Both results make the equation true, so [tex]x = 0, -\frac{5}{2}[/tex]

Answer:

$33190 per year (US dollars per year) (2009)

Local currency conversion:

Au$42890 per year (Australian dollars per year) (19/03/2021)

History:

History

Employment summary:

people employed | 130.648 million people

yearly change | -4.538 million people (-3%)

workforce fraction | 100% (1 in 1)

median wage | $33190 per year (US dollars per year)

median wage yearly change | +$800 per year (US dollars per year) (+2%)

50% range | $(21940 to 52920) per year

80% range | $(17140 to 81160) per year

(2009 data)

Step-by-step explanation:

Answer:

obtuse scalene

Step-by-step explanation:

Three different sizes.

Answer:

line plot because it is the most likely option

Answer:

box-plot

or

box and whisker plot

Answer:

9

Step-by-step explanation:

QR- 2(9-3)=

          2(6)=12

MP- 9+5=14

QRS=MNP

12/8, 15/10, 21/14= 3/1

Scale Factor is 3:1 or 3 to 1

Given:

[tex]\log_{a}(3) = 0.477,\log_{a}(5) = 0.699[/tex]

To find:

The value of [tex]\log_{a}(0.6)[/tex].

Solution:

We need to find the value of:

[tex]\log_{a}(0.6)[/tex]

It can be written as

[tex]\log_{a}(0.6)=\log_a\left(\dfrac{6}{10}\right)[/tex]

[tex]\log_{a}(0.6)=\log_a\left(\dfrac{3}{5}\right)[/tex]

By using the property of logarithm, we get

[tex]\log_{a}(0.6)=\log_a(3)-\log_a(5)[/tex]        [tex][\because \log \dfrac{a}{b}=\log a-\log b][/tex]

[tex]\log_{a}(0.6)=\log_a(3)-\log_a(5)[/tex]

On substituting the given values, we get

[tex]\log_{a}(0.6)=0.477-0.699[/tex]

[tex]\log_{a}(0.6)=-0.222[/tex]

Therefore, the values of [tex]\log_a(0.6)[/tex] is -0.222.

Answer:

l

Step-by-step explanation:

l

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{h}{2} + 21 - k\ if\ h=20\ and\ k=89}[/tex]

[tex]\textsf{If h = 20 and k = 89, the SUBSTITUTE it for where they are in the equation}[/tex]

[tex]\mathsf{\dfrac{10}{2}+21 - 89}[/tex]

[tex]\mathsf{\dfrac{20}{2}= \bf 10}[/tex]

[tex]\mathsf{\bold{10}+21 - 89}[/tex]

[tex]\mathsf{10+21=\bf 31}[/tex]

[tex]\mathsf{\bold{31}-89= \underline{ANSWER}}[/tex]

[tex]\mathsf{= \bf -58}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -58}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

16640x²

Step-by-step explanation:

Answer:

29 units

Step-by-step explanation:

Answer:

29 is the distance between the points (-30, -10) and (-30, 19) in the xy-plane.

Step-by-step explanation:

I've answered the question written, not the one in the picture.

You can either use the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex], or do Y2-Y1 (since the x-value is the same).

19-(-10)

19+10

29

Answer:

x=-.6

x=-1

Step-by-step explanation:

-3x-4(0)=2

-3x-0=2

-3x=2

x=-2/3 or -.6

6x+6(0)=-6

6x+0=-6

6x=-6

x=-1

Answer:

slope = 4/11

Step-by-step explanation:

To find the slope, use delta y/ delta x

(4,6) (-7,2)

(2-6)/(-7-4)

(-4)/(-11)

slope = 4/11

Let m = slope

m = difference of y-values divided by the difference of x-values.

m = (2 - 6)/(-7 - 4)

m = -4/-11

m = 4/11

Answer: 226.9 square in.

Step-by-step explanation: Remember that the formula for the area of a circle is (pi)r^2. Since the diameter is 17, you divide that by 2 to get your radius: 8.5. Now, put it into the formula to get your answer. (226.865 is the original, 226.9 is rounded to tenths)

Answer:

the answer is c 1.2

Step-by-step explanation:

to calculate the iqr you have to do the following:

q3 - q1 = answer

4.5 - 3.3 = 1.2

The IQR(interquartile range) for the distribution of the song length is 1.2.

Interquartile range gives information on the spread of the middle half of your distribution.

Mathematically, the interquartile range can be represented as follows:

IQR = Q₃ - Q₁

where

Q₃ = 4.5

Q₁ = 3.3

Therefore,

IQR = 4.5  - 3.3

IQR = 1.2

Therefore, the interquartile range is 1.2.

learn more on IQR here: https://brainly.com/question/20719471

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Answer:

49.79

Step-by-step explanation:

Using SOH CAH TOA;

Le the height be h

Tan 70 = h/16

h = 16tan70

Get the value of x

Opposite = 16tan70

hypotenuse = x

sin 62 = 16tan70/x

x = 16sin70/sin62

x = 16(2.7475)/0.8829

x = 43.96/0.8829

x = 49.79

Hence the value of x is 49.79

using angle sum property

we get

110+35+(x+12)=180

(x+12)=180-145

(x+12)= 35

x= 35-12

x= 23

Answer:

Angles in a triangle are sum up to 180 degrees.

35 + 110 + (x+12)=180

145+x+12=180

157+x=180

x=180-157

x=23 degrees

Answer:

3.0pages

Step-by-step explanation:

If Tiffany type a page in an hour, then;;

1 page = 1 hour

To calculate the number of pages typed in 3 hours, we can express as;

x pages = 3 hours

Divide both expressions

1/x = 1/3

x* 1 = 1* 3

x = 3pages

She will type 3.0pages in 3 hours

Answer:

Step-by-step explanation:

a)

The slope as per two ordered pairs (-2, -10), (0, -2)

The y-intercept is -2

The equation for this function:

b)

The slope is

The line passes through (1, 5)

The line is:

c)

The slope as per points on the graph (3, 0), (4, 2)

The line in point slope form using point (3, 0):

The line in slope-intercept form:

a) substitute m = 4 and c = - 2 into the slope intercept equation, thus, the equation of the line is y = 4x - 2

The answer is y = 4x - 2

b) Let's begin by listing out the given information:

The line has a slope of 3

The equation of the line becomes:

[tex]y = mx + b \\ m = 3 \\ y = 3x + b[/tex]

The line passes through point (1, 5).

We will obtain the equation using the point-slope formula, we have:

[tex]y - y1 = m(x - x1) \\ (x1 \: y1) = (1 \: 5) \\ y - 5 = 3(x - 1) \\ y - 5 = 3x - 3 \\ y = 3x - 3 + 5 \\ y = 3x + 2[/tex]

Therefore, the equation of the straight line is y = 3x + 2

c) we use that point and the slope to replace in the expression:

[tex]y - y1 = m(x - x1)[/tex]

That is:

[tex]y - 0 = 2(x - 3) \: \: y = 2x - 6[/tex]

y = 2x - 6 is the answer

The dots are moving in a downward direction from left to right, so it is a negative trend.

Answer:

products : (2abc) × (– 5ab) ×(– 6c)

2abc×-5ab×-6c

-×-×2×5×6×a×a×b×b×c×c

+60×a²×b²×c²

60a²b²c² is your answer. here -×-=+

Answer:

2b+2c

35h+15m

4x+4y

3ac+bc

Answer:

Solution given:

2 ( b + c )=2b+2c

5 (7h + 3m)=35h+15m

4 (x+y)=4x+4y

c ( 3a + b )=3ac+bc

Answer: 8000

Step-by-step explanation:

From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.

The number of bacteria that will be present in 3 weeks will then be:

= 10³ × 2^w

= 10³ × 2³

= 1000 × 8

= 8000 bacterias

Answer:

(-2, -3)

Step-by-step explanation:

We are given y = 3x + 3 and y = x - 1.

We can substitute y = x + 1 into the y value for y = 3x + 3, so

x - 1 = 3x + 3  Now, we just subtract x from both sides.

-1 = 2x + 3  We subtract 3 from both sides.

-4 = 2x

2x = -4  We divide both sides by 2

x = -2  Now we have our x value - (-2, y)

Let's substitute the x value into both of the equations given.

1st equation:

y = 3(-2) + 3

y = -6 + 3

y = -3

2nd equation:

y = (-2) - 1

y = -3

We now know that both equations give us the same y value when x = -2 is substituted, therefore our solution is:

(-2, -3)

The solution for the pair of equations is (-2,-3).

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

The pair of equations are

y = 3x + 3 ------- (1)

y = x − 1 -------- (2)

Substitute the equation 2 in equation 1, we get

⇒ [tex]x-1=3x+3[/tex]

⇒ [tex]3x-x=-1-3[/tex]

⇒ [tex]2x=-4[/tex]

⇒ [tex]x=-2[/tex]

Now substitute x in equation 2,

⇒ [tex]y=-2-1[/tex]

⇒ [tex]y=-3[/tex]

Hence we can conclude that the solution for the pair of equations is (-2,-3).

Learn more about system of equations here

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Answer:

No

Yes

No

Yes

No

Yes

Step-by-step explanation:

u multiply 10% and 84= 8.4

anything close to 84- 8.4