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blsea [12.9K]
2 years ago
10

Which Inequality is equivalent to the given inequality?

Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

-7x < 22

Step-by-step explanation:

Given

-4(x + 7)

Required

Determine its equivalent

-4(x + 7)

Start opening the brackets:

-4x - 28 < 3x - 6

Collect Like Terms

-4x - 3x < 28 - 6

Add and subtract like terms

-7x < 22

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Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off
Mazyrski [523]

First we will find the interest on:


P = $235 principal


t = 2 years


r = 0.1415 annual rate


A = future value 


I = A - P the interest


A = P(1 + r)^t


A = 235(1 + 0.1415)^2


A = $306.21


I = A - P


I = $306.21 - $235


I = $71.21


the interest was $71.21.



Next lets find the lifetime cost value:


Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)



Now lets find the percentage what percentage the interest is of the lifetime cost:


(71.21/914.61)*100 = 7.79%

<span>← Previous Problem<span>Next Problem →</span></span>
3 0
3 years ago
Change 3648 to standard form​
pychu [463]
I'm pretty sure it's

3.648 x 10(exponent 3)
4 0
3 years ago
Axis of symmetry: x=4; points: (3,-2), (6,-26); opening downward
Andru [333]
Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k

we have some points
(3,-2) and (6,-26)
input and solve for a and k

(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k

(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k

we have

-2=a+k
-26=4a+k
multiply first equation by -1 and add to second

2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k

-24=3a
divide both sides by 3
-8=a

-2=a+k
-2=-8+k
add 8 to both sides
6=k

the equation is
y=-8(x-4)^2+6
3 0
3 years ago
When do you can ride her bike .8 miles in six minutes how many miles can she ride her bike and 1.5 hours
Dafna11 [192]
They can ride their bike 12 miles because in 6 minutes they ride 0.8 miles so in 1.5 hours they ride 12 miles. 0.8 * 10 = 8 miles 1 hour so 0.8 * 5 = 4 miles 0.5 hours            8 miles + 4 miles =12 miles           1 hour + 0.5 hours = 1.5 hours
7 0
3 years ago
What is the principal solution to the equation?
ikadub [295]
First step: x= ± √ 121
Second step and correct answer: x= ± 11

Because: x^2 = x= ± √
6 0
2 years ago
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