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3 years ago

Determine the x and y intercept of the graph of y=1/4x+2

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

$\frac{1}{4}$ x + 2 = 0 ( multiply through by 4 to clear the fraction )

x + 8 = 0 ( subtract 8 from both sides )

x = - 8 ← x- intercept ⇒ (- 8, 0 )

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 2, that is

y = 2 ← y- intercept ⇒ (0, 2 )

nordsb [41]3 years ago

4 0

Answer:

Step-by-step explanation:

the x intercept :when y=0 1/4x +2 =0

1/4x = - 2 so : x = - 8

the y intercept : when x = 0 1/2(0)+2 = 2

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the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%

AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, $x+y=30$ (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

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Solving equations 1 and 2,

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So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0

3 years ago

In a certain university admissions department, 70 more males than females submitted applications for admissions. 20% of the fema

Anuta_ua [19.1K]

Answer:

In total, 1130 people applied in the University.

Step-by-step explanation:

Total applicants admitted = 256

Let the number of females who applied in University = k

So, the number of males who applied = ( k + 70)

Now, 20 %of females are admitted ⇒ 20% of (k) is admitted

or, the number of females admitted in university = $\frac{20}{100} \times k = 0.2k$

Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted

or, the number of males admitted in university = $\frac{25}{100} \times (k+70) = 0.25(k+70)$

So, according to the question:

0.20k + 0.25(k+70) = Total admissions = 256

or, 0.2k + 0.25k + 17.5 = 256

⇒0.45k = 238.5

or, k = 238.5/0.45 = 530

Hence, total number of females who applied = 530

And Total males who applies = ( k + 70) = 600

Now, TOTAL Applications = MALE applications + FEMALE applications

= 530 + 600 = 1130

Hence, in total 1130 people applied in the University.

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3 years ago

If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are

matrenka [14]

If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are congruent. This is according to the intersection of two tangent theorem. The theorem states that given a circle, if X is any point within outside the circle and if Y and Z are points such that XY and XZ are tangents to the circle, then XY is equal to XZ.

4 0

4 years ago

How do you know which line is steeper? or what is steeper?

boyakko [2]

I guess by if you are at the top and you don't want to go down the steepest line you look a the diameter of each area where the line is and also look down from the top you shoe be able to notice the slight contrast

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3 years ago

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Mashcka [7]

Answer:

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