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3 years ago

What is the answer for these questions?

Mathematics

2 answers:

jasenka [17]3 years ago

6 0

Answer:

a. (2)(6)+4=(3)(6)−2

16=16 Yes

b. 14(8)+3=34(8)+1

5≠7 No

c. (3)(2)−5=(0.5)(2)

1=1 Yes

d. 23((3)(8)+6)=(3)(8)−4

20=20 Yes

Step-by-step explanation:

PIT_PIT [208]3 years ago

5 0

Answer:

a.) yes

b.) no

c.) yes

d.) yes

Step-by-step explanation:

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2y^2-3x^2=1 is the equation of a horizontal hyperbola

zhannawk [14.2K]

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4 years ago

Given f(x)=2x^2+3x-5 for what values of x is f(x) positive

kow [346]

Answer:

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

Step-by-step explanation:

we have

$f(x)=2x^{2}+3x-5$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The coordinates of the vertex is the point (h,k)

step 1

Find the vertex of the quadratic function

Factor the leading coefficient 2

$f(x)=2(x^{2}+\frac{3}{2}x)-5$

Complete the square

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}$

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}$

Rewrite as perfect squares

$f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}$

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

step 2

Find the x-intercepts (values of x when the value of f(x) is equal to zero)

For f(x)=0

$2(x+\frac{3}{4})^{2}-\frac{49}{8}=0$

$2(x+\frac{3}{4})^{2}=\frac{49}{8}$

$(x+\frac{3}{4})^{2}=\frac{49}{16}$

take the square root both sides

$x+\frac{3}{4}=\pm\frac{7}{4}$

$x=-\frac{3}{4}\pm\frac{7}{4}$

$x_1=-\frac{3}{4}+\frac{7}{4}=1$

$x_2=-\frac{3}{4}-\frac{7}{4}=-2.5$

therefore

The function f(x) is negative in the interval (-2.5,1)

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

see the attached figure to better understand the problem

6 0

4 years ago

Y = x + 3 2y = 2x + 6

Marina CMI [18]

Answer:

x=0

y=3

Step-by-step explanation:

2(x+3)=2x+6, substituting the first equation in the second

2x+6=2x+6, rearranging the equations

2x-2x=6-6

0=0

y=0+3

y=3

6 0

4 years ago

jan has 12 ounce milkshake. for ounces in the milkshakes are vanilla, and the rest is chocolate. what are to equivalent fraction

vlada-n [284]

4/12 are vanilla or 2/6 8/12 are chocolate or 4/6

6 0

3 years ago

Read 2 more answers

What is the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches? 714 in² 6316 in² 4316 in² 3332 in²

svetlana [45]

Answer:

6 3/16 in²

Step-by-step explanation:

Area of rectangle = width x length

Given:

width = 2 3/4 in

length = 2 1/4 in

⇒ area = 2 3/4 × 2 1/4 = 11/4 × 9/4 = 99/16 = 6 3/16 in²

6 0

2 years ago