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3 years ago

Solve for the variable 7x = -35

Mathematics

2 answers:

zubka84 [21]3 years ago

8 0

Answer:

<u>x = -5.</u>

Step-by-step explanation:

7x = - 35

x = -35/7

x = <u>-5.</u>

Aliun [14]3 years ago

5 0

Answer:

x = -35/7

= -5

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4^3 = ?<br><br>A. 64<br>B. 7<br>C. 12<br>D. 1

Alexxandr [17]

By defining how exponents work, we conclude that 4^3 = 64, so the correct option is A.

Let's remember how exponents work.

If we have a number a to the exponent n:

a^n

It means that we need to multiply the number a by itself n times.

Then, in this case:

4^3

Can be rewritten to.

4*4*4

Now we can solve that product:

4*4*4 = (4*4)*4 = 16*4 = 64

Then we conclude that the correct option is A

4^3 = 64

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1 year ago

When the smaller of two consecutive integers is added to two times the larger, the result is 26. find the integers?

Mashutka [201]

(X)+2(x+1)=26
3x=24
X=8

Y=x+1
Y=8+1
Y=9
The two numbers are 8 and 9

8 0

3 years ago

What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

Sauron [17]

The directrix of the parabola is $y = \frac {-49}{16}$

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

$\frac 14(y + 3) = (x -2)^2$

A parabola is represented as:

$4p(y - k) =(x -h)^2$

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

$y = -3 - \frac 1{16}$

Take the LCM

$y = \frac {-16 * 3- 1}{16}$

Evaluate

$y = \frac {-49}{16}$

Hence, the directrix of the parabola is $y = \frac {-49}{16}$

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2 years ago

ROOTS AND CUBES<br> Can someone please help me answer all 4 following?

Alex Ar [27]

NOTES:

squared (²) means multiply that number by itself 2 times
cubed (³) means multiply that number by itself 3 times
square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical

Answer: (C) 41

<u>Step-by-step explanation:</u>

$\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41$