Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1

Answers

Answer 1

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue


Related Questions

Solve The Equation !
‐5x – 3 < 2x – 18

Answers

Answer:

x>15/7

Step-by-step explanation:

Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6

Answers

It’s really hard to see :(

What is the simplified value of the exponential expression 273?

Answers

Answer:

3

Step-by-step explanation:

27^1/3

= 3√27

=3 is the collect option

Estimate the quotient for:

4,819÷68

Answers

Answer:

≈ 70.87 (rounded to the nearest hundredth)

Step-by-step explanation:

-When you do 4,819 ÷ 68, you’ll get:

70.867647058....

-So, just round it to the nearest hundredth:

70.87

5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?

Answers

Answer:

90

Step-by-step explanation:

81/x=90/100

8100=90x

90=x

The total number of problems given in exam was 90.

PercentageWhat is percentage?

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

How to calculate percentage?

Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.

Calculation for the total number of question given:

A student correctly answered 81 problems.

Grade received by student is 90%

Let the total number of question given in the test be 'x'.

Thus,

90% of x = 81

(90/100)x = 81

x = (81×100)/90

x = 90

Therefore, the total number of question allotted to the student is 90.

To know more about how to conver percent to fraction?, here

https://brainly.com/question/317717

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6) Calculate the slope of a line containing the points (-3,5) and (-7,11).

Answers

Slope: (y2-y1)/(x2-x1)
(11-5)/(-7+3) = 6/-4 = 3/-2
The slope is -3/2

slopev=

[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]

so

Y=11_5 =6

X = -7_(-3) = -4.

slope = (-4,6)

make as brainlist

What is the length of side a?

Answers

Answer:

where is the picture

Step-by-step explanation:

u need a pic

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $

Answers

Answer:

a. V = $109,600  - $5,750(t)

b.  $69,350

Step-by-step explanation:

a. The expression of the value of the bulldozer is as follows

V = $109,600 - (m) × (t)

where,

m = depreciation

t  = time in years

Now the equation would be

$109,600 - 16(m) = $17,600

m = ($109,600 - $17,600) ÷ (16)

= $5,750

Now the expression would be

V = $109,600  - $5,750(t)

b. Now the value of the bulldozer is

= $109,600 - $5,750 × 7 years

= $109,600 - $40,250

= $69,350

3.3^(2x+1)-103^x+1=0 need value of x

Answers

Answer:

The value of [tex]x[/tex] is approximately -1.531.

Step-by-step explanation:

Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:

1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex]  Given

2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property

5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.

8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]

9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex]      [tex]\log_{b} \frac{a}{d}[/tex]

10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property

11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex]   Existence of multiplicative inverse/Definition of division/Modulative property

12) [tex]x \approx -1.531[/tex]  Result

The value of [tex]x[/tex] is approximately -1.531.

At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?

Answers

I think it’s 2, and each table has 9 men shirts and 8 women shirts

What is a equivalent expression for 10(y² + 2.45)

Answers

Answer:

10y²+24.5

Step-by-step explanation:

distribute.

10y²+24.5

Hope this helps plz hit the crown :D

The equivalent expression for the given expression is 10y²+24.5.

The given expression is 10(y² + 2.45).

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression is

10(y² + 2.45)

=10y²+24.5

Therefore, the equivalent expression for the given expression is 10y²+24.5.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

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Find percentage of .20

Answers

Answer: The percentage of 0.20 is 20%.

Step-by-step explanation: 0.20 represents the 20% of 100%.

Answer: 20%

Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%

. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?

Answers

Ruiz would get back 55 dollars 0 cents

He Should Get 55 Dollars Back

A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).

Answers

Ask your teacher because I don’t know

Answer:

B, C, E

Step-by-step explanation:

On edge 2021

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

Answers

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

simplify 7 sqare root 3 takeaway 2 sqare root 3 add sqaure root 3 takeaway 3 sqaure root 3

Answers

Answer:

tel:+18446450594

Step-by-step explanation:

The answer to a subtraction problem​

Answers

Answer:

The answer in a subtraction problem is called the difference.

Step-by-step explanation:

Hi there!

The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.

what is equivalent to 1/2 (2x + 7)

Answers

Answer: x + 7/2
Explanation:

1/2(2x + 7) = x + 7/2

What is the angle measure of angle MPQ?

Answers

Answer:

125°

Step-by-step explanation:

Find the value of x first.

5x = 3x + 50 (corresponding angles are congruent)

Subtract 3x from each side

2x = 50

Divide both sides by 2

x = 25

Angle MPQ = 3x + 50

Plug in the value of x

Angle MPQ = 3(25) + 50 = 125°

Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Answers

Your answer : is b (the letter b)

A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.

Answers

9514 1404 393

Answer:

  $9,437.65

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  [tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]

BRAINLIST HELP TIMED

Answers

Answer:

its the second one

Step-by-step explanation:

u just mulitply the terms together and add the exponents

I need help with this question thanks!

Answers

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Find the slope of the line containing the points in the table below

Answers

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

Corey Steinbruner is the marketing director for a new vitamin supplement and he wants to place ads in two magazines: Sports Illustrated and Men's Health. Corey estimates that each one-page ad in Sports Illustrated will be read by 4 million people and costs $2000 and each one-page ad in Men's Health will be read by 1 million people and costs $1000. Corey does not want to budget more than $14,000 on advertising and wants to place at least 3 ads in Sports Illustrated and at least 4 ads in Men's Health. a) Let LaTeX: xx be the number of ads in Sports Illustrated and LaTeX: yy be the number of ads in Men's Health. Write the objective function (with quantities in millions) to find the maximum number of readers reached by the ads.

Answers

Answer:

Step-by-step explanation:

From the given information:

x = number of ads in sports illustrated

y = number of ads in Man's health

Thus, the total ads read by z = (4x +y) million people

The objective function to maximize Z (millions) is:

Z = 4x + y

To determine x & y; constraint to,

x  ≥ 3,  y  ≥  4

Budget constraint:  2000x + 1000y ≤ 14000

By approaching the graphically

If we draw the line x = 3 , y = 4

Then;

2000x + 1000y = 14000

2x + y = 14

Corner points are A (3,4), B(5,4), C(3,8)

At A(3,4):

Z = 4(3) + 1 (4) = 16

At B(5,4):

4(5) + 1 (4) = 24

At C(3,8):

4(3) + 1(8) = 20

Thus, Z = 24 million.    x = 5, y = 4

Therefore;

they should place 5 ads in sports illustrated.

4 ads in man's health to maximize the number of 24 million readers.

LOTS OF POINTS plz help due today!!!!!

Answers

Answer:

what numbers do you need answering??

Step-by-step explanation:

7.) $50.00
8.) 10 people
9.) $1920.00
10.) $20.00

let me know if any of these seem incorrect

To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars did she need to sell ?

Answers

Answer:

45%

trust me i took this test before

Step-by-step explanation:

Which measurement is most likely to be the mass of a strawberry?

Answers

Answer:

is there anything to go with this?

Step-by-step explanation:

Answer: D

Step-by-step explanation: Saw your recent comment on this

what's a slop in math

Answers

Answer:

Its the division of x axis divided by y axis

Answer:

The slope of the line is a measure of its steepness. You can find it with rise/run. The formula for slope is m=y2-y1/x2/x1

Can somebody please help with this?

Answers

(3, 62)


Since that second equation is equal to y, you can substitute the entire thing into the top equation, getting rid of the y and solving for x. It equals 3.

You can then plug 3 in for x on either equation, which should be 62.
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