Use substitution to solve the
following system of equations.
9x + 5y = 32 AND y = -3x + 4

Answers

Answer 1

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10


Related Questions

You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?

Answers

Answer:

24

Step-by-step explanation:

34 messages per 12 minutes

68 is just 34 mulitplied by 2.

it would take you twice as long because there are twice as many messages.

12 minuted multipled by 2 is 24.

It would take you 24 minutes to send 34 messages.

Answer:

24 minutes

Step-by-step explanation:

34/12

68/x

34*2=68

12*2=24

What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6

Answers

I think c not for sure tho

Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range

Answers

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side. ​

Answers

Answer:

I would say use photomath if you cant find your answer.

Step-by-step explanation:

The circumference of a circular field is 191.54 yards. What is the radius of the field? Use 3.14 for Pi and do not round your answer.

Answers

Answer:

C = 2πr

191.64 = 2 × 3.14 × r

r = 191.64/6.28

r = 30.51 yds

name the following polynomial expression.

[tex] {4x}^{2} + x - 3 [/tex]

Answers

Answer:

Step-by-step explanation:

It has 3 terms so it is a trinomial.

It can also be called a quadratic.

Answer:

a trinomial.

If that is what ur asking for

Step-by-step explanation:

Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x​

Answers

Given:

The equation of a line is:

[tex]y-1=4x[/tex]

A line parallel to the above line passes through the point P(2,5).

To find:

The equation of the parallel line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]         ...(i)

Where, m is the slope and b is the y-intercept.

The given equation is:

[tex]y-1=4x[/tex]

It can be rewritten as

[tex]y=4x+1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=4[/tex]

It means the slope of the given line is 4.

We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.

The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=4(x-2)[/tex]

[tex]y-5=4x-8[/tex]

[tex]y=4x-8+5[/tex]

[tex]y=4x-3[/tex]

Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].

PLEASEEEE HELPPPPP ME !! :)

Answers

The last one looks right

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

what is the slope of the line​

Answers

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

Answer:

the slope of the line​ is 1

Step-by-step explanation:

The line goes  1 up, 1 right, 1 up 1 right ........

1 divided into 1 = 1

Use the Pythagorean theorem to find the unknown side of the right triangle.

Hypotenuse length_____

Answers

Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39

Step-by-step explanation:

find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees

Answers

Answer: hi

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

hope is helps <3

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.

Answers

Answer:

Minimum 100 bicyclesMinimum cost is 13500

Step-by-step explanation:

Given function:

C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

x = -(-600)/(2*3) = 100

b.

Cost at vertex is:

C(100) = 3*100^2 - 600*100 + 43500 = 13500

Help! I don't get it!

Answers

A= 4/32 and 5/40
B= 9/21 and 6/14
C= 2/5 and 16/40

PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph

Answers

if you start at the point (0,1), you are going to go up and over to (-2,4), which means you will go up 3 and to the left, which means negative, 2
rise/run
3/-2

in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel

Answers

Answer:

no,because <1 and <5 are not congruent

Step-by-step explanation:

i did the test yw

Can someone please help me with math.

Answers

Answer:

A. B.

Step-by-step explanation:

In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th

Answers

Answer:

618.2203≈618.22

Step-by-step explanation:

618.2203≈618.22

The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure

Answers

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)

Answers

Answer:

-77·√30

Step-by-step explanation:

(-7)·√3·11·√10  =  (-77)·√3·10  =  -77·√30

In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.

Answers

Answer:

35 members

Step-by-step explanation:

In a tennis club the ratio number of junior members : number of senior members is 7 : 10

From the above ratio

Number of junior member = 7

Number of senior members = 10

There are 18 more senior members than junior members.

S = 18 + j

10 + 18 = 28 senior members

Hence,

Total number of members = 28 senior members + 7 junior members

= 35 members

dos hermanos tienen una cuenta de ahorros de s/1920 lo que le corresponde al hermano mayor es 6 veces mas de lo que le corressponde al hermano menor mas un adicion de s/72 ¿ cuanto le corresponde alk hermano mayor

Answers

Answer:

le corresponde s/1656

Step-by-step explanation:

espero y te ayude

The number 40 is 5 percent of what number?
A) 80 B) 8 C) 200 D) 2 E) 800

Answers

Answer:

800

Step-by-step explanation:

Is means equals and of means multiply

40 = 5% *N

Change to decimal form

40 = .05N

Divide each side by .05

40/.05 =.05N/.05

800 = N

Simplify the expression. Write your answer as a power.
(-4).(-4)
The simplified expression is

Answers

Answer:

(-4).(-4) = 4^2

Step-by-step explanation:

First, some rules that we need to remember:

if A is a positive number, then:

-A = (-1)*A

Also:

A*A = A^2

We also should remember that we can multiplicate in any order we want, this is:

A*B*C = (A*B)*C = A*(B*C)

And we also can change the order of the numbers:

A*B = B*A

And finally, we need to remember the sign rules for multiplication.

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Ok, now let's look at our expression.

(-4)*(-4)

First, we can rewrite this as:

( (-1)*4)*((-1)*4)

And we can rearrange the numbers to:

(-1)*(-1)*4*4

Now let's multiplicate the first two ones, because of the sign rule, we know that the outcome will be positive, and 1 times 1 is equal to 1,

(-1)*(-1) = 1

Then:

(-1)*(-1)*4*4 = 1*4*4 = 4*4

And we know that when a number is multiplied by itself we can rewrite it as:

4*4 = 4^2

Then:

(-4).(-4) = 4^2

The simplified expression is 4^2

Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:Amount of blue paints used to paint bedroom walls=1.48 pints

Step-by-step explanation:

total pints of white paint and blue paint = 7.4 pints

Amount of white paint=4/ 5 x 7.4 pints=5.92pints

Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used

= 7.4 pints-5.92pints

=1.48pints

help please thank you sm!!!

Answers

Answer:i think it is 54 degree

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.

Find the area of this hexagon

Answers

The area is: 584.57 in ²

log subscript-4 (m^2)=log subscript-4 (18-7m)?

Answers

Answer:

m = {-9, 2}

Step-by-step explanation:

log₄ (m²) = log₄ (18 - 7m)

18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7

m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9

Answer:

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

Step-by-step explanation:

we are given a logarithm equation

[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]

notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it

[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]

in order to solve it we should make it standard form we know that

[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]

so right hand side expression to left hand side and change its sign:

[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]

now we can solve it by using factoring method

to do so rewrite the middle term as sum or subtraction of two different terms

in that case -2m+9m is good to use

[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]

factor out m:

[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]

factor out 9:

[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]

group:

[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]

hence,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

remember that,

when we deal with logarithm equation we should always check the roots

let's check the root 1:

[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify square:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify multiplication:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]

simplify substraction:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]

simplify logarithm:

[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]

let's check root 2:

[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]

simplify square:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]

simplify addition:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]

therefore,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

What is the value of log4 2?​

Answers

Answer:

1/2

Step-by-step explanation:

type it into the calculator

The value of logarithm log base 4(2 is 1/2.

What is Logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Rewrite as an equation.

log base 4(2)=x

and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b  are positive real then

log (base b) x= y equivalent to [tex]b^y[/tex] = x

Create expressions in the equation that all have equal bases.

log base 4(2)=x

[tex](2^2)^x[/tex] = 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

x= 1/2.

Learn more about Logarithm here:

https://brainly.com/question/30085872

#SPJ5


Which expression is equivalent to sqrt10/4sqrt8

Answers

Answer:

i think it is the third one.

Step-by-step explanation:

Answer:

first choice: ⁴√200 / 2

Step-by-step explanation:

√10 / ⁴√8 = ((√10)*(⁴√2)) / ((⁴√2³)*(⁴√2))  

                = (⁴√100 * ⁴√2) / (⁴√2⁴)

                = ⁴√200 / 2

A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?

Answers

Answer:

2

Step-by-step explanation:

Count the spins

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