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Yuki888 [10]
2 years ago
14

Write an iequality for -5(×+7)<-10 representing the solution for x​

Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0

Answer:

X<-5

Step-by-step explanation:

1) open the brackets

2) take -35 to the other side with -10

where it turns to be -5X<-10+35

3) work out to find -5X<25

4) divide both sides by -5

to find X<-5

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Evaluate the function x=2 g(x)=-4x
ANTONII [103]

Answer:

g(2)= -8

Step-by-step explanation:

g(2)= -4(2)

g(2)= -8

8 0
3 years ago
Which inequality is represented by the graph below?
4vir4ik [10]
I don’t no this I’m sorry
6 0
2 years ago
A student's tuition was $3000. A loan was obtained for 5/6 of the tuition. How much was the loan?
Marina86 [1]
Answer: 2,500

5/7 of 3500 = (5/7)*(3500)

5/7 of 3500 = (5/7)*(3500/1)

5/7 of 3500 = (5*3500)/(7*1)

5/7 of 3500 = (17500)/(7)

5/7 of 3500 = 2500
Hope this helped:)
8 0
2 years ago
25 POINTS AVAILABLE
myrzilka [38]

Answer:

\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

1. We have the equation:

(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

7 0
3 years ago
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
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