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Brums [2.3K]
2 years ago
12

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa

le
2/3x + 3/4 = 8
8x=87
Mathematics
2 answers:
Dimas [21]2 years ago
5 0
These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match. 

Hope this helps!
zzz [600]2 years ago
5 0
If the two equation have the same solution, the x value of each will be equal.  So we solve each equation for x and see if they are equal...

2x/3+3/4=8

(8x+9)/12=8

8x+9=96

8x=87

x=87/8

And the other equation was:

8x=87 so

x=87/8

Since x=x the equations do have a solution 
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Which is an x-intercept of the continuous function in the table?
Ad libitum [116K]

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y=0 or f(x)=0

So look through the table and find where f(x)=0.

From the table, f(x)=0 at x=3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

7 0
1 year ago
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The function g(x) = 5x2 – 10x written in vertex form is g(x) = 5(x – 1)2 – 5. The function g(x) is shown on the graph along with
natka813 [3]
The general vertex form of the a quadratic function is y = (x - h)^2 + k. In this form, the vertex is (h,k) and the axis of symmetry is x = h. Then, you only need to compare the vertex form of g(x) with the general vertex form of the parabole to conclude the vertex point and the axis of symmetry. g(x) = 5(x-1)^2 - 5 => h = 1 and k = - 5 => theis vertex = (1, -5), and the axis of symmetry is the straight line x = 1. <span>Answer: the vertex is (1,-5) and the symmetry axis is x = 1.</span>
8 0
1 year ago
Read 3 more answers
If y is the circumcenter is angle STU find each measure
snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

⇒ 14^{2}=VY^{2}+9^{2}

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





4 0
1 year ago
If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe
Natalka [10]

Answer:

They encircle the planet 3.76\times 10^{11} times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is 6.022\times 10^{23}

Thus, the number of dust particles is:

2.5\times 6.022\times 10^{23}=15.055\times 10^{23}

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: 10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m

If we line up the particles the distance they could cover is:

15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}

Circumference in meters:

40,076km\times \frac{1000m}{1km}=40,076,000 m

Therefore,

\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}

Hence, they encircle the planet 3.76\times 10^{11} times.

8 0
1 year ago
The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufac
Lilit [14]

Answer:

220 products need to be sold to break it even.

Step-by-step explanation:

550 + 3.00x = 5.50x

550 = 2.50x

220 = x

6 0
2 years ago
Read 2 more answers
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