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2 years ago

Given the function f(x) = -5x + 11 + 3, for what values of x is f(x) = -12? Bleaseeeeee

Mathematics

2 answers:

Nitella [24]2 years ago

6 0

Answer:

x = 5.2

Step-by-step explanation:

$f(x) = -5x + 11 + 3$

Let's first simplify our first function:

$f(x) = -5x + 11 + 3\\f(x) = -5x + 14$

Now, we just need to set this function equal to our other given function.

$f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12$

Now, we can add 12 to both sides:

$-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0$

Now, add 5x to both sides:

$-5x+26 = 0\\26 = 5x\\$

Finally, we'll divide both sides by 5:

$26/5 = 5x / 5\\5.2 = x\\x = 5.2$

Answer: x = 5.2

zhuklara [117]2 years ago

3 0

Sis Is the same app but if it

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Write the decimal expansion for 5/9

4vir4ik [10]

Answer:

0.555555556

Step-by-step explanation:

3 0

2 years ago

Two or more complete sentences, explain how to use ordered pairs of points in f(x) and g(x) to determine if f(x) and g(x) are in

kati45 [8]

If f(x) is an inverse of g(x),

when
f(x)=y
g(y)=x

aka
f(g(x))=x
g(f(x))=x

basically, the values should be swiched

example
f(x)=
(1,2)
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then g(x)=
(2,1)
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6 0

3 years ago

HELPPPPPPPP I NEED THE ANSWER PLZZZZZZZZZZZ!!!!!!!!!!! the solutions plz

Vesnalui [34]

Answer:

c = -4.5
z = 20
x = -12
a = -4/7

Step-by-step explanation:

A way to do this that will always work is ...

eliminate parenthses and collect terms
subtract any constants from the left side
subtract any variable terms from the right side
divide by the coefficient of the variable

8c -11 -6c = -2
2c -11 = -2
2c = 9
c = 4.5

3z +4 -2z -9 = 15
z -5 = 15
z = 20

12 -4x +18 = 36 +4x +18 -6x
30 -4x = 54 -2x
-4x = 24 -2x
-2x = 24
x = -12

36a -9a -5 = 6a -17
27a -5 = 6a -17
27a = 6a -12
21a = -12
a = -12/21 = -4/7

6 0

3 years ago

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Aliun [14]

I have to interpret that:

1) the smaller square has side length = 3 cm

2) the bigger square has side length = 5 cm

3) the smaller square is completely inside the bigger square.

4) the points cannot be outside the bigger square

Under those assumptions the probability that a point is inside the smaller square is

P (inside the smaller square) = area of the smaller square / area of the bigger square

P (inside the smaller squere) = (3cm)^2 / (5cm)^2 = 9 / 25

Answer: 9 / 25

8 0

2 years ago

7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con

sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let $p_{1}$ be the probability that commercial cars have rear license plates and $p_{2}$ be the probability that connected trucks have rear license plates.

Cars Trucks Total

Total 2049 334 2383

x 239 45 284

p 0.1166 0.1347 0.1191

α=0.05

Hypothesis will be :

$H_{0}:p_{1} =p_{2}$

$H_{1} :p_{1} < p_{2}$

It is a left tailed test at 0.05 significance.

Standard errors of p= $\sqrt{p(1-p)/n}$

= $\sqrt{(0.1191*0.8809)/2383}$

= $\sqrt{0.1049/2383}$

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0

2 years ago