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3 years ago

X^2 + 5x - 24 = 0 How do I solve by factoring

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

x = -8 or x = 3

Step-by-step explanation:

To factor ax² + bx + c, use AC method.

a times c is 1 × -24 = -24.

Factors of ac (-24) that add up to b (5) are 8 and -3.

Divide by a and reduce: 8/1 and -3/1.

Therefore, the factors are x + 8 and x − 3.

x² + 5x − 24 = 0

(x + 8) (x − 3) = 0

x = -8 or 3

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Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju

Ivan

Answer:

Chandra's Average Monthly Expenses are;

1) For Both Jan and Feb are $269

2) For the remaining 10 months each are $244

Step-by-step explanation:

From Chandra's matrix all monthly expenses are all same that is,

Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.

That means Chandra carries out a total of 7 expenses for the month of January and February while she carried a total of 6 expenses for the remaining 10 month which was noted from the matrix that Auto insurance was carried out only in the month of January and February.

Therefore, you start by adding up each month total expenses, which are ;

January = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

March = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

April = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

May = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

June = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

July= $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

August = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

September = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

October = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

November = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

December = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

Therefore Chandra's Average Monthly Expenses are:

1) January & February = $\frac{71 + 1,025 + 75 + 25 + 425 + 120 + 145}{7}$ = $\frac{1886}{7}$ = 269.4286 to the nearest cent

≅ $269

2) For the remaining 10 month are = $\frac{71 + 1,025 + 75 + 25 + 120 + 145}{6}$ = $\frac{1461}{6}$ = 243.5 to the nearest cent

≅ $244

8 0

3 years ago

Read 2 more answers

What is the true solution to In 20+ In 5= 2 In x? x=5. A X= 10 b X=50 c X= 100 d

lions [1.4K]

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

4 0

3 years ago

Jamie received £26 pocket money last week. He spent it as follows: 10% on sweets, 25% on magazines 15% on games How much did Jam

navik [9.2K]

Answer:

Total money left with Jamie = £13

Step-by-step explanation:

Jamie received pocket money = £26

He spent on sweets = 10% of total pocket money

Expense on magazines = 25% of the total money

Expense on games = 15% of the pocket money

Total expenditure on sweets, magazines and games = $\frac{10}{100}+\frac{25}{100}+\frac{15}{100}$

= $\frac{50}{100}$ Or 50% of the pocket money he received

Therefore, money left with Jamie = 50% of total money he received as pocket money

= $\frac{50}{100}\times 26$

= £13

6 0

3 years ago

!!Plz urgent help!!

Firdavs [7]

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(AB)(BC)$

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = $\frac{1}{2}(5)(12)$

= 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

= 540 cm³

Volume of one spherical bead = $\frac{4}{3}\pi r^{3}$

= $\frac{4}{3}\pi (0.525)^{3}$

= 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

3 0

2 years ago

Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $2,700 at

stealth61 [152]

Using the formula for simple interest, it is found that he paid $119.87 in interest.

The simple interest formula is given by:

$E = PIt$

E is the amount of interest earned.
P is the principal(the amount of money invested).
I is the interest rate(yearly, as a decimal).
t is the time, in years.

In this problem:

Borrowed $2,700, thus $P = 2700$
Interest rate of 3.5%, thus $I = 0.035$
From December 26, 2019 to February 21, 2021, there were 423 days, thus the time in years is $t = \frac{423}{365} = 1.2685$

Thus, the interest paid was of:

$E = PIt = 2700(0.035)(1.2685) = 119.87$

$119.87.

A similar problem is given at brainly.com/question/9593067

5 0

2 years ago