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antoniya [11.8K]
3 years ago
7

6) Solve: 5x + 12 + 3x = 8x - 5

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0
Hope this helps !!!!!

svet-max [94.6K]3 years ago
5 0

Answer: −17

Step-by-step explanation: ez

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In the problems below, f(x) = log₂x and
kramer

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

3 0
3 years ago
Sumeet is building two types of birdhouses. The more traditional type takes 4 pieces of wood and 2 hours to build. The more lavi
mina [271]

Answer:

The no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

Step-by-step explanation:

Let x be the no. of traditional type birdhouses

The more traditional type takes 4 pieces of wood and 2 hours to build.

One house requires wood = 4

x houses requires wood = 4x

One house requires time = 2 hours

x houses requires time = 2x

Let y be the no. of lavish type birdhouses

The more lavish type takes 10 pieces of wood and 7 hours to build.

One house requires wood = 10

y houses requires wood = 10y

One house requires time = 7 hours

y houses requires time = 7y

Now we are given that he has a total of 46 pieces of wood and 29 hours to work,

So, equations becomes : 4x+10y = 46\\2x+7y=29

Plot these equations on graph

4x+10y = 46 ---Blue line

2x+7y=29  ---Green line

Refer the attached figure

The intersection point provides the solution

Intersection point : (4,3)

So, x = 4 and y = 3

Hence the no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

8 0
3 years ago
Please solve this for me using substitution
Vinvika [58]

<h2> <u>Explanation</u><u>:</u></h2>

\bf \underline{★Given-} \\

\textsf{4x + 5y = 8};

\textsf{5x + 4y = 12}

\bf \underline{★To\: find-} \\

\textsf{the value of x and y in equation?}

\bf \underline{★Solution-} \\

\sf \leadsto 4x + 5y = 8 - - - (i)

\sf \leadsto 5x + 4y = 12 - - - (ii)

By first equation,

\sf \leadsto 4x + 5y = 8

\sf \leadsto 4x = 8 - 5y

\sf \leadsto x = \dfrac{8 - 5y}{4}

\textsf{Now, we can find the original value of Y.}\\

\sf \leadsto 5x + 4y = 12

\sf \leadsto 5 \bigg( \dfrac{8 - 5y}{4} \bigg) + 4y = 12

\sf \leadsto \dfrac{40 - 25y}{4} + 4y = 12

\sf \leadsto \dfrac{40 - 25y + 16y}{4} = 12

\sf \leadsto \dfrac{40 - 9y}{4} = 12

\sf \leadsto 40 - 9y = 12(4)

\sf \leadsto 40 - 9y = 48

\sf \leadsto -9y = 48 - 40

\sf \leadsto -9y =  8

\sf \leadsto y = \dfrac{ -8}{9}

\textsf{Now, we can find the original value of X.}\\

\sf \leadsto 4x + 5y = 8

\sf \leadsto  4x + 5 \bigg( \dfrac{ -8}{9} \bigg) = 8

\sf \leadsto 4x - \dfrac{40}{9} = 8

\sf \leadsto \dfrac{36x - 40}{9} = 8

\sf \leadsto 36x - 40 = 8(9)

\sf \leadsto 36x - 40 = 72

\sf \leadsto 36x = 72 + 40

\sf \leadsto 36x = 112

\sf \leadsto x = \dfrac{112}{36}

\underline{\textsf{Answer-}}\\

Therefore, the values of x and y are -8/9 and 112/36 respectively.

6 0
2 years ago
**HELP MEEEE!! NEED ANSWERE ASAP!!!!**
Stells [14]

The first one is -8+2 = -6

And the second one is 2 x 2 = 4

3 0
3 years ago
Read 2 more answers
3х + 9y - 8x - 2y +7​
Sonja [21]

Answer:

-5x+7y+7

Step-by-step explanation:

3х + 9y - 8x - 2y +7​ can be written like the equation below to help solve it

3x-8x+9y-2y+7

=-5x+7y+7

7 0
3 years ago
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