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3 years ago

Help pls i need this good grade

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

7 0

Answer:

✅⅓(x - 5) = -⅔

✅distribute ⅓

✅x = 3

Step-by-step explanation:

Let the number be x.

The difference of a number and 5 ==> x - 5

⅓ times the difference of a number and 5 equals -⅔, would be expressed as:

✅⅓(x - 5) = -⅔

✔️To solve for x, one possible first step is to distribute ⅓.

Thus,

⅓x - ⁵/3 = -⅔

Add ⁵/3 to both sides

⅓x = -⅔ + ⁵/3

⅓x = (-2 + 5)/3

⅓x = ³/3

⅓x = 1

Multiply both sides by 3

x = 3

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If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

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Solve for (a)

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3 years ago

What is the solution to the inequality |2n+5|>1

tekilochka [14]

Answer:

ANSWER

n < - 3 \: or \: n > - 2n<−3orn>−2

EXPLANATION

The given inequality is,

|2n + 5| \: > \: 1∣2n+5∣>1

By the definition of absolute value,

- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1−(2n+5)>1or(2n+5)>1

We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 12n+5<−1or(2n+5)>1

We simplify now to get,

2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 52n<−1−5or2n>1−5

2n \: < \: - 6 \: or \: 2n \: > \: - 42n<−6or2n>−4

Divide through by 2 to obtain,

n \: < \: - 3 \: or \: n \: > \: - 2n<−3orn>−2

7 0

3 years ago

Help pls i need this good grade​

Help pls i need this good grade