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vlada-n [284]
3 years ago
7

Solve the following: -3x + 7(x + 5) = 5x + 38 please explain!

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer: -3

Step-by-step explanation:

-3x+ 7x+ 35= 5x + 38

You solve the distributive property on the left side and set it equal to the right

4x+35= 5x+38

-4x -4x

35= x+38

-38 -38

X=-3

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A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How
tigry1 [53]

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

a(x-h)^{2} + k, where (h,k) is the vertex

h = -8(t-0.5)^{2}+2    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

4 0
3 years ago
Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the
Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

975.63\times12\times30=351226.80 dollars

5 0
4 years ago
Can someone solve this
Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

8 0
3 years ago
On a number line, the coordinates of j, k, l, m, n are −10.5, −4, −1, 1.5, 4 respectively. find the lengths of the two segments.
nordsb [41]

Answer:

  • JK = 6.5
  • KM = 5.5
  • not congruent

Step-by-step explanation:

JK = K-J = (-4) -(-10.5) = 6.5

KM = M -K = 1.5 -(-4) = 5.5

6.5 ≠ 5.5, so the segments are not congruent.

6 0
3 years ago
Can some please help me with the pic above
Sladkaya [172]

I don't know if this will help but the 2 on the right are not parallelograms there  

"3d"

4 0
3 years ago
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