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3 years ago

Given the equations y= 1/2x + 2 and y= -x - 1, what is the solution.

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

(−2,1)(-2,1)

x=−2,y=1

Step-by-step explanation:

Tell me if it's correct

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The temperature started at 87 degrees Fahrenheit is the temperature went down 10 degrees Fahrenheit then went up 17 degrees Fahr

SIZIF [17.4K]

Answer:

i think the answer is D

Step-by-step explanation:

87 degrees minus 10 degrees would give you 77 (which is the lowest temperature). then 77 degrees plus 17 degrees is 94 degrees. the difference between the highest temp and lowest (94-77) would be 17.

6 0

3 years ago

Graph the equation using a table of values.<br> y = 3x -9

valentina_108 [34]

Answer:

Step-by-step explanation:

i dont know what you mean by tables but I made a table to plot the points

pls mark me brainliest

7 0

3 years ago

A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =

podryga [215]

Answer:

Area of the counter top is $5.02\ m^2$ .

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = $18\times 0.305 = 5.49\ m$

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = $3\times 0.305 = 0.915\ m$

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = $5.49\times 0.915 = 5.0233\ m^2$

Rounding up to 2 decimals we get;

Area of the counter top = $5.02\ m^2$

Hence Area of the counter top is $5.02\ m^2$ .

3 0

4 years ago

Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15

ehidna [41]

Answer:

(5, 3 ) and (- $\frac{3}{2}$ , - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - $\frac{3}{2}$

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - $\frac{3}{2}$ : y = 2(- $\frac{3}{2}$ ) - 7 = - 3 - 7 = - 10 ⇒ (- $\frac{3}{2}$ , - 10 )

8 0

3 years ago

Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter

ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0

3 years ago