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Westkost [7]
3 years ago
5

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solut

ion.
Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

Inequality to represent given data is y ≥ 5.

No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

Step-by-step explanation:

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.

i) therefore y + 1 ≥ 6

ii) therefore y ≥ 5

iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

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Write an equation of the parabola in vertex form that passes through (-7, -15) and has vertex (-5, 9)
iren2701 [21]
The equation for the parabola would be: y=-6(x+5)^2+9
7 0
3 years ago
How do I complete this formal check?
postnew [5]
IDK sorry I need points
8 0
2 years ago
A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15
Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

A= P(1+\frac{r}{n})^{nt}

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

A= P(1+\frac{r}{n})^{nt}

1500= 1200(1+\frac{0.02}{4})^{4t}

Dividing both sides by 1200 and solving 0.02/4 = 0.005

1.25= (1+0.005)^{4t}

1.25= (1.005)^{4t}

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years

8 0
3 years ago
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
GREYUIT [131]

Answer:

Substitution property of equality

Step-by-step explanation:

Given

4x + 9 = 15 and x = 2y + 1

Then

4(2y + 1) + 9 = 15

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If a = b then b = a

In other words, both can replace one another.

So if x = 2y + 1, then 2y + 1 can be substituted for x in 4x + 9 = 15

So:

4x + 9 = 15  becomes

4(2y + 1) + 9 = 15

<em>Hence, it is substitution property of equality</em>

6 0
2 years ago
a diver swims 5.875 feet up to the surface of the water. which number represents the divers position in relation to the surface
Lubov Fominskaja [6]
The diver was 5.875 below sea level before swimming to sea level
7 0
3 years ago
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