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Lelu [443]
3 years ago
14

Find the y-intercept and the x-intercept of the line 2x-4y=10

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)
You might be interested in
superstore and cheap store are two supermarkets that sell boxes of the same type of cereal each supermarket has a special offer
Lena [83]

Answer:

Step-by-step explanation:

Cheapstore:

500p÷10=50p×2=100p or £1  

£4=600g

Superstore:

600g÷10=60g×3=180g+600g

£5=780g

600÷4=150g per pound

780÷5=156g per pound

The box from Superstore is best value

8 0
3 years ago
Standardized tests: In a particular year, the mean score on the ACT test was and the standard deviation was . The mean score on
Scorpion4ik [409]

Complete question :

Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is

Answer:

1.26

Step-by-step explanation:

Given that:

For ACT:

Mean score, m = 19.3

Standard deviation, s = 5.3

Zscore for ACT score of 26;

Using the Zscore formula :

(x - mean) / standard deviation

x = 26

Zscore :

(26 - 19.3) / 5.3

= 6.7 / 5.3

= 1.2641509

= 1.26

6 0
2 years ago
An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th
7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b =  2500   ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115     ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a =  $500

Put this value of a in eq 1

500 + b =  2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0
3 years ago
Write a numerical expression for the verbal expression. the sum of two an four and six times eight
Trava [24]
(2+4+6)*8 hopefully that's what you are looking for
3 0
2 years ago
The sum of ten consecutive whole even numbers is 1190
olga2289 [7]
X + x+2 + x+4 + x+6 +x+8 + x+10 + x+12 + x+14 + x+16 + x+18 = 1190
Now simplify
10x + 90 = 1190
10x = 1100
x = 110
Now plug in 110 for x
5 0
3 years ago
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