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2 years ago

Let f(x)=2/3x+4 and g(x)=kx+6 . For which value of will the x-intercept of f() be equivalent to the x-intercept of g()?

Mathematics

1 answer:

Komok [63]2 years ago

3 0

0=(2/3)x +4

multiply by 3

0=2x +12

x =-6

(2/3)x +4 =0

2x +12 = 0

x =-6 = the x intercept

(2/3)x + 4 = kx +6

(2/3- k)x = 2

multiply by 3

(2-3k)x = 6

(2-3k)(-6) = 6

2-3k =-1

3k= 3

k = 1 makes the 2nd equation have the same x intercept = -6 or the point (-6,0)

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A ramp 18 ft long rises to a platform. The bottom of the platform is 13 ft from the foot of the ramp. Find x, the angle of eleva

Varvara68 [4.7K]

Answer:

The answer to your question is: Ф = 43.95°

Step-by-step explanation:

Data

length = 18 ft

distance bottom to is 13 ft

x = angle = ?

Formula

cos Ф = opposite side / hypotenuse

Process

cos Ф = 13 ft / 18 ft substitution

cos Ф = 0.72 simplify

Ф = cos⁻¹ (0.72)

Ф = 43.95° result

8 0

3 years ago

Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p

tatuchka [14]

Answer:

Marion bought 6 frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let $f$ represent frog lures and $l$ represent lizard lures.

The total packages Marion bought is

$f+l=14...eqn1$

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

$4f+6l=72...eqn2$

We make $f$ the subject in equation 1 and put it into equation 2 to get;

$f=14-l...eqn3$

We put equation 3 into equation 2 to get;

$4(14-l)+6l=72$

$\Righttarrow 2(14-l)+3l=36$

We expand the bracket to get;

$28-2l+3l=36$

$-2l+3l=36-28$

$l=8$

We put $l=8$ into equation 3 to get;

$f=14-8$

$f=6$

Therefore Marion bought 6 frog lures and 8 lizard fishing lures.

6 0

2 years ago

If log 3 = x and log 5 = y, express log 45 in terms of x and y.

Marysya12 [62]

Answer:

I believe that the answer is A

5 0

1 year ago

Which shows the quotient of g and 7?

egoroff_w [7]

The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.

4 0

3 years ago

yesterday 50 bakery customers muffins and 11 of those customers bought bran muffins if 150 customers buy muffin's tomorrow how m

Andrews [41]

Answer:

33 banana muffins

Step-by-step explanation:

11/50 = x/150

50x=1650

50x/50=1650/50

x=33 !

8 0

2 years ago