4. Which graph represents the solution to
-2<3x+1 ?
​

Answer:

(x + 4)(5x - 4)

Step-by-step explanation:

[tex]5x^2 + 16x – 16 \\ = 5x^2 + 20x - 4x– 16 \\ = 5x(x + 4) - 4(x + 4) \\ = (x + 4)(5x - 4)[/tex]

Answer:

 (5x - 4) • (x + 4)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   5 • -16 = -80

Find two factors of  -80  whose sum equals the coefficient of the middle term, which is   16 .

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  20  

                    5x2 - 4x + 20x - 16

Add up the first 2 terms, pulling out like factors :

                   x • (5x-4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (5x-4)

Add up the four terms of step 4 :

                   (x+4)  •  (5x-4)

            Which is the desired factorization

Answer:

54/81 is the answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

Answer:

i think the answer might be D but im not sure

well 9+10=21

Step-by-step explanation:

21Answer: 21

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

they form when winds conbine a certain way

Answer:

-40. second option

Step-by-step explanation:

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

Answer:  16x^2 - 40x + 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

To know more about Ratios:

https://brainly.com/question/13419413

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Answer:

Point A reflected = 7, -8

Point B reflected = 2, -3

Step-by-step explanation:

im going to guess it's [tex]\frac{1}{4}[/tex]

Answer:

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

learn more about logarithms here :

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Answer:

a. 4×9=36

glad to help!!

Step-by-step explanation:

Answer:

The answer is 28.

Step-by-step explanation:

Add all of them.

(L/ length) 12.

(W/ width) 10

(H/ height) 6

12 + 10 + 6 = 28

I hope this helps

Answer:

504 inches

Step-by-step explanation:

2(lb+hb+hl)

length = 12

height = 6

width = 10

2 (120 + 60+ 72)

2( 252

= 504

Answer:

1/3

Step-by-step explanation:

3x3= 9

Make 3/9 a fraction and simplify it and it would give you 1/3

Answer:

First triangle: [tex]a = 5\sqrt{2}[/tex], second triangle: [tex]c = \frac{8\sqrt{3}}{3}[/tex]

Step-by-step explanation:

In the first triangle, the value of [tex]a[/tex] is equal to the following trigonometric relation:

[tex]a = \frac{5}{\cos 45^{\circ}}[/tex]

[tex]a = \frac{5}{\frac{\sqrt{2}}{2} }[/tex]

[tex]a = \frac{10}{\sqrt{2}}[/tex]

[tex]a = \frac{10\sqrt{2}}{2}[/tex]

[tex]a = 5\sqrt{2}[/tex]

In the second triangle, we obtain the value of [tex]c[/tex] is equal to the following trigonometric relation:

[tex]c = 8\cdot \tan 30^{\circ}[/tex]

[tex]c = 8 \cdot \left(\frac{\sin 30^{\circ}}{\cos 30^{\circ}} \right)[/tex]

[tex]c = 8\cdot \left(\frac{\frac{1}{2} }{\frac{\sqrt{3}}{2} } \right)[/tex]

[tex]c = \frac{8}{\sqrt{3}}[/tex]

[tex]c = \frac{8\sqrt{3}}{3}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Answer:

[tex] { - 3}^{4} = - (3 \times 3 \times 3 \times 3) \\ {( - 3)}^{4} = ( - 3 \times - 3 \times - 3 \times - 3)[/tex]

The difference is that (-3)^4 has a negative 3 with parenthesis around it, which means that if it was in PEMDAS, you would work that out first.

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

Answer:

B. 5x = 34.5 the pencil to the end

Answer: 10in^2 or this

Step-by-step explanation: Hope this help :D

Answer:

29

Step-by-step explanation:

2x2=4

5x5=25

25+4=29

Sorry if this didn't help ;(

Answer:

it's a parallelogram

Step-by-step explanation:

May ot helpful

Answer:

surface area of the triangular prism

(8×6)+(15×10)+(15×6)+(8×15)

48+150+90+120

408 m²