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3 years ago

Consider the inequality -5(x + 7) < -10. Write an inequality representing the solution for x.

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

x > -5

Step-by-step explanation:

-5(x+7)<-10

Divide each side by -5. Remember to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7>2-7

x > -5

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tigry1 [53]

Answer:

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Step-by-step explanation:

Answer is 5

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3 years ago

Classify the following system of equations.

zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

$y = \frac{3}{2}y + 3$

Bottom equation

$y = \frac{3}{2}x + 3$

We can see that both equations are identically the same.

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We say the system is consistent and dependent.

The correct choice is B

4 0

3 years ago

If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?

GaryK [48]

The corresponding parts that are congruent are (a) AB and DE

<h3>How to determine the congruent parts?</h3>

The statement ΔABC ≅ ΔDEF means that the triangles ABC and DEF are congruent.

This implies that the following points are corresponding points:

A and D; B and E; C and F

When two corresponding points are joined together, the congruent parts are:

AB and DE, AC and DF, BC and EF

Hence, the corresponding parts that are congruent are (a) AB and DE

Read more about congruent triangles at:

brainly.com/question/1675117

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2 years ago

The perimeter and area of each figure: a. A square with a side length of 3.5 inches.

Anna11 [10]

$3.5 \times 3.5 = 12.25 \: for \: are \\ 3.5 \times 4 = 14 \: for \: perimeter$

5 0

4 years ago

Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

4 0

3 years ago