All categories

3 years ago

Which ordered pair is the solution to the system of equations? {y=2x−154x+3y=−5 (5, −5) (7, −11) (4, −7) (0, 6)

Mathematics

2 answers:

pav-90 [236]3 years ago

6 0

y=2x−15

4x+3y=−5

_________

4x+3(2x-15)= -5

4x+6x-45= -5

10x=-5+45

10x= 35

X=35/10

X= 3.5 or 3 and 1/2

Now solve for y

4x+3y=−5

4(3.5)+3y= -5

12.5+3y= -5

.40+3y= -5

3y= -5-0.40

3Y= -5.40

Y= -1.80

Answer (3.5, -1.80)

Natasha_Volkova [10]3 years ago

3 0

Answer:

So that you all don't have to go and do extra work the answer is (4, -7) :)

Step-by-step explanation:

You might be interested in

The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side le

algol [13]

Answer:

18 units

Step-by-step explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

Area=6*side*side

Step 2

isolate side from the equation

$side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}$

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

$side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\$

so, the value x of a side of a cube with a total

the side of a cube is 18 units when the surface area of the cube shown is 1944 units2

Have a good day.

6 0

3 years ago

Please help me with this math question

natta225 [31]

ANSWER

$x = 54\degree$

EXPLANATION

The diameter meets the tangent to the circle at right angles.

The sum of interior angles of a triangle is 180°.

This implies that

$x + 36 \degree + 90 \degree = 180 \degree$

Group the constant terms

$x = 180 \degree - 36 \degree - 90 \degree$

We simplify to obtain,

$x = 54\degree$

7 0

3 years ago

Read 2 more answers

What is the probability of an event that is certain?

horrorfan [7]

Answer:

Step-by-step explanation:

An event that is certain to happen has a probability of 1.

4 0

3 years ago

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Solve 9x2 + 12x – 24 = 0 using the quadratic formula. A. x = 7, –1 B. C. D. x = 4, –7

Ksivusya [100]

$\bf \qquad \qquad \textit{quadratic formula}\\\\

\begin{array}{lcclll}
9x^2&+12x&-24&=0\\
\uparrow &\uparrow &\uparrow \\
a&b&c
\end{array}
\qquad \qquad 
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}$

8 0

3 years ago

Read 2 more answers