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3 years ago

Part 2

Mathematics

2 answers:

marysya [2.9K]3 years ago

5 0

GIVEN:

Equation :— x² - 4x + 5

ANSWER:

In "Diamond method", bottom slot is filled by the 'b' or coefficient of x.

And here, a = 1; b = - 4; c = 5.

So, Correct choice - [A] - 4.

NOTE: See picture attached.

Taya2010 [7]3 years ago

4 0

9514 1404 393

Answer:

a. -4

Step-by-step explanation:

When using the "diamond method" for factoring quadratics, the bottom number is the coefficient of the linear term. In this quadratic, it is -4.

The bottom number is -4.

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What is the equation of the line that passes through the points (-2,2) and (0,5)

gregori [183]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -2}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ 0}}\quad ,&{{ 5}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-2}{0-(-2)}\implies \cfrac{5-2}{0+2}
\\\\\\
\cfrac{3}{2}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=\cfrac{3}{2}(x-(-2))\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-2=\cfrac{3}{2}(x+2)\implies y-2=\cfrac{3}{2}x+3\implies y=\cfrac{3}{2}x+3+2
\\\\\\
y=\cfrac{3}{2}x+5$

4 0

3 years ago

Turn this into equation two hundred minus three times x is equal to nine

Yuri [45]

200-3x=9.. Right....?

6 0

3 years ago

Y- 6 = 3(x – 5) What is the slope and the points on the line ?

polet [3.4K]

Answer:

slope = 3 and point on the line is (5, 6 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 6 = 3(x - 5) ← is in point- slope form

with slope m = 3 and (a, b) =( 5, 6 ) ← point on the line

3 0

3 years ago

Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pe

Marina86 [1]

Answer:

17 pencils

Step-by-step explanation:

Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.

Tell me if I'm wrong :)

8 0

3 years ago

Read 2 more answers

Sofia purchased a new car in 2007 for$34,000. The value of the car has been depreciating exponentially at a constant rate. If th

vodka [1.7K]

Answer:

$7,718

Step-by-step explanation:

Given that :

Cost of car in 2007 = $34000

Cost of car in 2014 = $16200

Predicted value of car in 2021

Lets obtain the percentage Depreciation (d) :

Worth (A) of car in 2014 = $16200

Time (t) = 2014 - 2007 = 7 years

Initial cost (I) = price in 2007

A = I(1 - d/100)^7

16200 = 34000( 1 - d/100)^7

16200 = 34000(1 - 0.01d)^7

(16200/34000)^1/7= 1 - 0.01d

0.8995 = 1 - 0.01d

0.01d = 1 - 0.8995

d = 0.1005 /0.01

d = 10.05

Value of car in year 2021:

t = 2021 - 2007 = 14 years

A = I(1 - 10.05/100)^14

A = 34000(1 - 0.1005)^14

A = 34000(0.8995)^14

A = 34000 * 0.2269950

A =7717.83100

Approximate worth = $7718

8 0

3 years ago

Read 2 more answers