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9 months ago

Evaluate -2 3/10+ 11/15

Mathematics

1 answer:

ANEK [815]9 months ago

3 0

Answer:

-29/15

Step-by-step explanation:

Multiply 2 and 3 to get 6
-6+2/3 + 11/15
Add 6 and 2 to get 8
-8/3+11/15
LCM of 3 and 15 is 15. Convert -8/3 and 11/15 to fractions with 15 as the denominator
-40/15 + 11/15
Since -40/15 and 11/15 have the same denominator, add them by adding the numerators
-40+11 / 15
Add -40 snd 11 to get -29
-29/15

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The equation 9 x 2 − 12 x + 4 = 0 9 x 2 − 12 x + 4 = 0 has how many different solutions?

Hatshy [7]

We have the equation:

$9x^2-12x+4=0$

so:

$a=9\qquad b=-12\qquad c=4$

and:

$\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}$

This equation has one solution.

5 0

2 years ago

Write the equation in slope-intercept. y - 7 = -3⁄4 (x +5)

denpristay [2]

Answer:

Step-by-step explanation: . y - 7 = -3⁄4 (x +5)

1. y = -3/4(x+5) + 7

2. y = -3/4x + -15/4 + 7

3. y = -3/4x + 13/4

4 0

2 years ago

Can someone pls solve this

denpristay [2]

Answer:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

Q = 30, R = 80, P = 50

Step-by-step explanation:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

R = Q +50, 80=30+50

P = Q + 20, 50=30+20

Q = 30, R = 80, P = 50

3 0

2 years ago

7 times a number is 8 less than the square of that number. Find the negative solution.

kap26 [50]

Answer:

Step-by-step explanation:

x^2-8x+x-8

x(x-8)+1(x-8)

(x+1)(x-8)

The negative number is x=-1

8 0

2 years ago

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

2 years ago