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Semmy [17]
3 years ago
14

Find The Domain Of This Function

qrt%7Bx%20-%205%7D%7D.%5C%5D" id="TexFormula1" title="\[h(x) = \frac{3x - 1}{\sqrt{x - 5}}.\]" alt="\[h(x) = \frac{3x - 1}{\sqrt{x - 5}}.\]" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

Step-by-step explanation:

domain: x>5

range: y > 0

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Simplify the expression: 2(3x – 5) + 4x - 7
Ksivusya [100]

Answer:

\huge{ \fbox{ \sf{10x - 17}}}

Step-by-step explanation:

\sf{ \: 2(3x - 5) + 4x - 7}

Distribute 2 through the parentheses

\mapsto{ \sf{6x - 10 + 4x - 7}}

Add the like terms : 6x and 4x

Like terms are those which have the same base.

\mapsto{ \sf{10x - 10 - 7}}

\underline{ \text{Remember!}} : The negative integers are always but added but posses the negative ( - ) sign.

\mapsto{ \sf{10x - 17}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

8 0
3 years ago
Read 2 more answers
The Vertex of a parabola is at (8-1), and it's why intercept is negative 17, which function represents the parabola
suter [353]

Answer:

The function is equal to y=-(1/4)(x-8)^{2}-1

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(8,-1)

substitute

y=a(x-8)^{2}-1

<u><em>Find the value of a</em></u>

Remember that we have the y-intercept

The y-intercept is the point (0,-17)

substitute

x=0,y=-17

-17=a(0-8)^{2}-1

-17=64a-1

64a=-17+1

64a=-16

a=-16/64

a=-1/4

therefore

The function is equal to

y=-(1/4)(x-8)^{2}-1

see the attached figure to better understand the problem

4 0
4 years ago
Consider the equation 1.2x + 4.8y = 18
neonofarm [45]

Answer:

-1/4

Step-by-step explanation:

For this equation, first divide both sides by 1.2, to get x+4y=15. Then, subtract x from both sides. Now, with 4y=-x+15, divide by 4. You should get y=-1/4x+15/4 (15/4=3 3/4 or 3.75). The formula y=kx=b, where k is slope, means the slope is -1/4.

5 0
3 years ago
HELPSelect the correct answer.<br>Which table shows a proportional relationship between a and b?​
romanna [79]

Answer:

B

Step-by-step explanation:

table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin

for B :25/20=30/24=40/32=5/4

y=5/4 x

8 0
3 years ago
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Identify each expression as linear or not linear.
Allushta [10]

5x + 3 is a linear equation in one variable

8 0
3 years ago
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