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2 years ago

-6x - 7 is greater than or equal to - 19. Please guide me through the steps of this... I will give brainliest

Mathematics

1 answer:

3241004551 [841]2 years ago

7 0

Answer:

x ≤ 2

Step-by-step explanation:

-6x - 7 ≥ -19

Add 7 to both sides: -6x ≥ -12

Divide both sides by 6: -x ≥ -2

Divide both sides by -1: x ≤ 2

When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)

You might be interested in

The sum of two consecutive numbers is -165. Find the value of the smaller number.

Svetllana [295]

Answer:

-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

2x+1=-165

-1 -1

2x=-166

/2 /2

x=-83

We can check our work by adding -83+-82=-165 because -83 would be the smaller number.

-83.

7 0

3 years ago

Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature e

Maslowich

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Equation of regression line :

Yˆ = −114.05+2.17X

X = Temperature in degrees Fahrenheit (°F)

Y = Number of bags of ice sold

On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold.

X = 82°F ; Y = 66 bags of ice sold

1. Determine the number of bags of ice predicted to be sold by the LSR line, Yˆ, when the temperature is 82 °F.

X = 82°F

Yˆ = −114.05+2.17(82)

Y = - 114.05 + 177.94

Y = 63.89

Y = 64 bags

2. Compute the residual at this temperature.

Residual = Actual value - predicted value

Residual = 66 - 64 = 2 bags of ice

4 0

3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

Can somebody please help me

erik [133]

Answer:

d=3 and e=-1

Step-by-step explanation:

d+e=2

d=2-e-----(1)

d-e=4-----(2)

substituting (1) in (2)

2-e-e=4

-2e=2

e=-1-----(3)

substituting (3) in (1)

d=2-(-1)

d=3

6 0

3 years ago

The fifth grade has 152 students. Each student has 18 pencils. How many pencils do the students have altogether? ( and how did y

timurjin [86]

You're given that there's 152 students. Each student has 18 pencils. All you have to do is multiply 152 students x 18 pencils/student, to get 2,736 pencils.

4 0

3 years ago