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2 years ago

Given f(x) = 7 - 4x. If the domain of the function is {-4, 0, 1.75, 3}, what is the range of the function?

Mathematics

1 answer:

photoshop1234 [79]2 years ago

3 0

Answer:

[-5,23]

Step-by-step explanation:

f(-4)=23

f(3)= -5

put the maximum and minimum values for x which at domain

You might be interested in

Which of the following is an irrational number?

tamaranim1 [39]

Answer:

The correct option is;

0.100100010000...

Step-by-step explanation:

An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.

The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers

In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.

4 0

3 years ago

Please could you find the answers to the questions in the attachment.

Fudgin [204]

( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ )we need 3 equations
1. midpoint equation which is ( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ ) when you have 2 points

2. distance formula which is D= $\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height

so

x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=( $\frac{11+19}{2} , \frac{10+6}{2}$ )
midpoint=( $\frac{30}{2} , \frac{16}{2}$ )
midpoint= (15,8)

point x=(15,8)

y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=( $\frac{5+21}{2} , \frac{8+0}{2}$ )
midpoint=( $\frac{26}{2} , \frac{8}{2}$ )
midpoint=(13,4)

Y=(13,4)

legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D= $\sqrt{(19-11)^{2}+(6-10)^{2}}$
D= $\sqrt{(8)^{2}+(-4)^{2}}$
D= $\sqrt{64+16}$
D= $\sqrt{80}$
D= $4 \sqrt{5}$
BC= $4 \sqrt{5}$

X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D= $\sqrt{(13-15)^{2}+(4-8)^{2}}$
D= $\sqrt{(-2)^{2}+(-4)^{2}}$
D= $\sqrt{4+16}$
D= $\sqrt{20}$
D= $2 \sqrt{5}$
XY= $2 \sqrt{5}$

the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC= $4 \sqrt{5}$ and XY= $2 \sqrt{5}$

AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D= $\sqrt{(21-5)^{2}+(0-8)^{2}}$
D= $\sqrt{(16)^{2}+(-8)^{2}}$
D= $\sqrt{256+64}$
D= $\sqrt{320}$
D= $4 \sqrt{2}$
AD= $4 \sqrt{2}$

so we have
AD= $4 \sqrt{2}$
BC= $4 \sqrt{5}$
XY= $2 \sqrt{5}$

AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
( $4 \sqrt{2}+4 \sqrt{5}$ ) times 1/2 times $2 \sqrt{5}$ =
( $4 \sqrt{2}+4 \sqrt{5}$ ) times \sqrt{5} [/tex] =
$4 \sqrt{10}+4*5$ = $4 \sqrt{10}+20$ =80 $\sqrt{10}$ =252.982

X=(15,8)
Y=(13,4)
BC= $4 \sqrt{5}$
XY= $2 \sqrt{5}$
Area=80 $\sqrt{10}$ square unit or 252.982 square units

7 0

3 years ago

Write the following percent as a fraction in the simplest form. 12%

Aleksandr [31]

Answer:

I think that the answer is 3/25

4 0

2 years ago

Read 2 more answers

Identity the composite number represented by the prime factorization below

Korolek [52]

Answer:look below

Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.

However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.

3 0

3 years ago

Read 2 more answers

Find the range for these numbers.<br><br><br><br> 12, 9, 24, 24, 37, 18, 9, 6, 24

svet-max [94.6K]

6, 9, 9, 12, 18, 24, 24, 24, 37

37-6= 31

5 0

2 years ago