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stiks02 [169]
3 years ago
9

What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?(

Mathematics
1 answer:
Lena [83]3 years ago
6 0
The vertex of function y = |x| is (0; 0).
We have: f(x) = |x - 7| + 1
shift the graph of the function y = |x| 7 units right and 1 unit up. Then the vertex of function f is (7; 1).
Your answer is A. (7; 1)
Look at the picture.

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What is the value of 742 + 16/42
Shtirlitz [24]

Answer:

742,380952381 <em>OR</em> 31180/42

Step-by-step explanation:

16/42=0,380952381

742+0,380952381=742,380952381

<em>or</em>

(742*42)/42 + 16/42 = (31164+16) /42 = 31180/42

6 0
2 years ago
Can someone please tell me the answer on this.
marishachu [46]

Answer: x = 31

Step-By-Step:

<u>To Find x:</u>

<u />\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180 (Angle Sum Property Of Triangles)

(Remove the brackets)

<u />2x+20+x+10+2x-5=18<u />

(Group Accordingly)

<u />2x+x+2x+20+10-5=180<u />

= 5x+20+10-5=180

= 5x\:+\:25 =180

= 5x= 180 - 25

= 5x = 155

= x=\frac{155}{5}

= 31

<u>Therefore</u> x = 31

So,

Angle A = x + 10 = 31 + 10 = 41

Angle B = 2*x + 20 = 2*31 + 20 = 82

Angle C = 2*x - 5 = 62 - 5 = 57

5 0
2 years ago
What is the percentage of $1.35 of $5
AnnyKZ [126]
I believe that the answer would be 27%


6 0
3 years ago
Read 2 more answers
A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

⠀

To Find :

  • The length and width of the rectangle.

⠀

Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
What’s bigger 1/2 or 5/4
Licemer1 [7]

5/4 ιѕ вιggєя тнαи 1/2

вє¢αυѕє 5/4 ιѕ α ιмρяσρєя fяα¢тισи. αи∂ ¢συℓ∂ вє ωяιттєи αѕ 1 1/4, σя 1.25

ωнιℓє 1/2 ¢αи вє ωяιттєи αѕ .50, σя 1/2.

нσρє ι ¢συℓ∂ нєℓρ уσυ

6 0
3 years ago
Read 2 more answers
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