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2 years ago

Does anyone get this? And if so can you help

Mathematics

2 answers:

marta [7]2 years ago

7 0

The answer is :X^2 + 7x + 12
The mistake made was when expanding they added 3 and 4 together instead of multiplying it

malfutka [58]2 years ago

7 0

Correct Answer:

$x^2 + 7x + 12$

Step-by-step explanation:

The error that was made, is that they accidentally added 3 and 4 together, during the distribution, when they should have multiplied it, leaving them with 7 instead of 12.

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At a little-known vacation spot, taxi fares are a bargain. A 18-mile taxi ride takes 21 minutes and costs $12.60. You want t

nordsb [41]

Given :

A 18-mile taxi ride takes 21 minutes and costs $12.60.

To Find :

The cost of a 39- mile taxi ride. What unit price do you need.

Solution :

Unit price per mile :

$p=\dfrac{12.60}{18}\\\\p = \$0.7\ /mile$

Cost of 39 mile taxi ride :

$C = 39\times p\\\\C=39\times 0.7\\\\C=\$27.3$

Therefore, unit price is $27.3 and unit price is $0.7 / mile .

Hence, this is the required solution.

8 0

2 years ago

Evaluate the Riemann sum for f(x) = 3 - 1/2 times x between 2 and 14 where the endpoints are included with six subintervals taki

Digiron [165]

Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for $f(x) = 3 - \dfrac{1}{2}x$ from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

$L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x$

where:

$\Delta x = \dfrac{b-a}{a}$

a = 2

b =14

n = 6

∴

$\Delta x = \dfrac{14-2}{6}$

$\Delta x = \dfrac{12}{6}$

$\Delta x =2$

Hence;

$x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i$

Here, we are using left end-points, then:

$x_i-1 = 2+ 2(i-1)$

Replacing it into Riemann equation;

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i$

Estimating the integrals, we have :

$= 6n - 2 ( \dfrac{n(n-1)}{2})$

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

5 0

3 years ago

Felix's washing machine uses 6 gallons of water. How much water does it use in liters? A gallon is approximately 3.79 liters. Ro

dlinn [17]

Answer:

22.74 liters

Step-by-step explanation:

GIven data

Felix's washing machine uses 6 gallons of water

we are told that A gallon is approximately 3.79 liters

Hence if a gallon is approximately 3.79 liters

then 6 gallons of water will be x liters

cross multiply we have

x= 6*3.79

x= 22.74 liters

Hence 6 gallon will be 22.74 liters

7 0

3 years ago

Solve the right angle trig problem.

iris [78.8K]

Answer:

x = 53.6588°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing angle.

Step 2: Identify Variables

POV from angle x

Angle = x

Adjacent = 16

Hypotenuse = 27

Step 3: Solve for x

Substitute: cosx° = 16/27
Inverse: x° = cos⁻¹(16/27)
Evaluate: x = 53.6588°

7 0

2 years ago

Find the slope and the y-intercept of the line. y=2x-7

Alecsey [184]

Answer:

slope is 2 or 2/1 and y intercept is -7

Step-by-step explanation:

y=mx+b

mx= slope

b= y intercept

8 0

3 years ago

Read 2 more answers