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3 years ago

7

3(9z+4) > 35z - 4 What is z

1 answer:

attashe74 [19]3 years ago

4 0

$3(9z+4) > 35z - 4$

$27z + 12 > 35z - 4$

$12 + 4 > 35z - 27z$

$16 > 8z$

$\frac{16}{8} > z$

$2 > z$

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Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the lar

uysha [10]

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

If the scale factor is greater than 1, its an enlargement

If the scale factor is smaller than 1, it is a reduction.

But what ever be the case,

the triangles always remain similar.

Hence the size of the sides changes,

But the size of the angles always remains the same.

Now the largest angle of triangle ABC is 82°.

Hence the largest angle of the triangle DEF shall be 82°.

Second option 82° is the right answer.

5 0

3 years ago

qaws [65]

Answer:

Width of the rectangle = 5 inches

Length of the rectangle = 20 inches

Step-by-step explanation:

Let us assume the width of the rectangle = m in

So, the length of the rectangle = 4 (Width) = (4 m) in

Perimeter of the rectangle = 50 inches

Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)

⇒ 2( m + 4m) = 50

or, 2(5m) = 50

⇒ 10m = 50 or, m = 50/10 = 5

⇒ m = 5

So, the width of the rectangle = 5 inches

and the length of the rectangle = 4 m = 4 x 5 = 20 inches

8 0

3 years ago

MT&A uses the function f(x)=475-15x-15x.to depreciate smart phones. where f represents the value of smart phone and x repres

Shalnov [3]

Answer:

Find the answers in the explanation

Step-by-step explanation:

The given function is

f(x)=475-15x

A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,

Y = 475 - 15x

Interchange y and x and make y the subject of formula

X = 475 - 15y

-15y = x - 475

Y = 475/15 - x/15

Y = (475 - x) / 15

Therefore,

f^-1(x) = (475 - x) / 15

If the function depreciates the smartphone, then, the inverse function will appreciate it.

When will the deprecated value of smart phone be less than $100.00

Substitute 100 for f(x) and find x

100 = 475 - 15x

-15x = 100 - 475

-15x = - 375

X = 375/15

X = 25

Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.

what does x represent in f^-1(x) =30?

X represent the number of months for the smartphone appreciations

What is the value of x?

Substitute the inverse function for 30 and make x the subject of formula in the equation

f^-1(x) = (475 - x) / 15

30 = (475 - x) / 15

Cross multiply

450 = 475 - x

X = 475 - 450

X = 25 months

Graph f(x) and f^-1 (x) on the same coordinate

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3 years ago

Please I need help in finding the diameter

Goshia [24]

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

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3 years ago

Rewrite each of the following sentences using logical connectives. Assume that each symbol!, x₀, n, x, B represents some fixed o

katrin [286]

Answer:

a) $(f\ has\ a\ relative \ minimum \ at\ x_{0} )$ ∧ $(f\ is\ differenciable\ at\ x_{0} )$ ⇒ $f^{'} (x_{0} )=0$ .

b) $(n\ is\ prime)$ ⇒ $(n=2)$ ∨ $(n\ is \ odd)$ .

c) $R\ is \ irreflexive\$ ⇒ $(R\ is\ symmetric)$ ∧ $(R\ is\ transitive)$ .

d) $detB=0$ ⇒ $(B \ is\ square)$ ∧ $(B\ is\ not\ invertible)$ .

e) $f\ has\ a\ critical\ point\ at \ x_{0}$ ⇔ $(f^{'}(x_{0})=0)$ ∨ $() \ f^{'}(x_{0}) \ does\ not\ exist$ .

f) $2n$ ∨ $n>4$ ⇒ $2$ .

g) $6\geq n-3$ ⇔ $n>4$ ∨ $n>10$ .

h) $x \ is \ cauchy$ ⇒ $x\ is\ convergent$ .

i) $\lim_{x \to \ x_{0}} f(x)=f(x_{0})$ ⇒ $f\ is\ continous\ at \ x_{0}$ .

j) $(f\ is\ diferenciable\ at\ x_{0})$ ∧ $(f\ is\ increasing\ at\ x_{0})$ ⇒ $f^{'}(x_{0})>0$ .

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4 years ago