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3 years ago

Change the following expression involving addition and subtraction into one only involving addition

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

7+(-3)+8+(-2)+(-6)+1+3

Gemiola [76]3 years ago

3 0

Answer:

7+(-3)+8+(-2)+(-6)+1+3

hope it helps :)

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Find the vertex of this quadratic

mihalych1998 [28]

Answer:

The vertex of the quadratic equation is the point (4,2)

Step-by-step explanation:

we know that

The figure show a vertical parabola open downward

The vertex represent the maximum point of the graph

Looking at the graph

The maximum point of the graph is (4,2)

therefore

The vertex of the quadratic equation is the point (4,2)

see the attached figure to better understand the problem

4 0

3 years ago

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Dovator [93]

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the roots of the quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}$

where

The discriminant of the quadratic equation is equal to

$b^{2}-4ac$

if $(b^{2}-4ac)> 0$ ----> the quadratic equation has two real roots

if $(b^{2}-4ac)=0$ ----> the quadratic equation has one real root

if $(b^{2}-4ac)< 0$ ----> the quadratic equation has two complex roots

in this problem we have that

the discriminant is equal to $-8$

the quadratic equation has two complex roots

therefore

the answer is the option A

There are two complex roots

5 0

3 years ago

Read 2 more answers

The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

3 years ago

1/2(8a+200b) Is the answer 4a+100b?

kaheart [24]

Answer:

you are correct it is, 4a+100b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Given the data below:

Leno4ka [110]

Answer:

5.16

Step-by-step explanation:

Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4

x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial

P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)

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

P(x)= x² -11x+31

P(3.4)= 5.16

7 0

3 years ago