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3 years ago

The graphs of f(x) and g(x) are shown below:

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

Answer:

x = -1,5.4

Step-by-step explanation:

We have to solve equation f(x) = g(x) from graph.

In graph f(x) and g(x) will be equal at the point where they meet each other.

Other way to understand this is

since y will be value of f(x) and g(x) .

so we need same value of y for both f(x) and g(x)

and same value for y will be at point where both function meets each other.

now looking at graph ,

we can see that graph of function f(x) and g(x) intersect at two points

(-1,-10) and other is at (5.4,12)

Thus, value of x from pair of solutions (-1,-10) and (5.4,12) is x = -1, 5.4.

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The product of 1 1/2 and 2 is less than, equal to, or greater than 2

Rus_ich [418]

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

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3 years ago

If lines a and b are parallel, and m<8=150, what is the m<2

ss7ja [257]

Step-by-step explanation:

$\underline{\large{ \tt{G \: I \: V \: E \: N}}} :$

Line a & b are parallel
m ∠ 8 = 150 °

$\underline{ \large{ \tt{T \: O\: \: F \: I \: N \:D}}} :$

m ∠ 2

$\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :$

$\large{ \tt{m \: \angle \: 8 \: + \: m \: \angle \: 2 = 180 \degree}}$ [ Sum of co-interior angles ]

⤑ $\large{ \tt{150 \degree \: + m \: \angle \: 2}} = 180 \degree$

⤑ $\large{ \tt{m \angle \: 2 \: = \: 180 \degree - 150 \degree}}$

⤑ $\large{ \tt{m \: \angle \: 2 \: = \bold{ \tt{30 \degree}}}}$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# $\underbrace{ \tt{Carry \: On \: Learning}}$ !!

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8 0

3 years ago

Read 2 more answers

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

vagabundo [1.1K]

Answer:

y is also doubled.

Step-by-step explanation:

Direct proportionality between $x$ and $y$ means that

$y \propto x$

$y=cx$ ,

which indicates a linear relationship between $x$ and $y$ because they are related by a constant.

Therefore, if x is doubled, then the new value of $y$ is $y_{new}$

$y_{new}=c(2x)$

$y_{new}=2(cx)$

$y_{new}=2y$

The new value of $y$ is 2 times the previous; therefore, $y$ is doubled as $x$ is doubled.

7 0

3 years ago

Read 2 more answers

A statue casts a shadow that is 45 feet

exis [7]

It’s not my answer but I think it’s correct!

6 0

3 years ago

The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal

Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

$d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)$ we can find the distance by substituting the given point coordinates

$d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79$

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0

3 years ago