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goldfiish [28.3K]

3 years ago

10

State all integer values of x in the interval [1, 8] that satisfy the following inequality:

1 answer:

krek1111 [17]3 years ago

6 0

Step-by-step explanation:

4x - 5 > 4

4x > 9

x > 2.25

Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.

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The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid

Pachacha [2.7K]

Answer:

The coordinate C:(3,2) and coordinate $D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

Step-by-step explanation:

1. The endpoints of AB are A(1,4) and B(6,-1)

If point C divide AB in the ratio 2:3

Formula:

$\text{Section formula}(x,y)=\left ( \dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}, \right )$

Where,

$(x_1,y_1)\rightarrow A(1,4)$

$(x_2,y_2)\rightarrow B(6,-1)$

$m:n\rightarrow 2:3$

$C:(x,y)$

$C:\left ( \dfrac{2\cdot 6+3\cdot 1}{2+3},\dfrac{2\cdot -1+3\cdot 4}{2+3}, \right )$

$C:\left ( \dfrac{12+3}{5},\dfrac{-2+12}{5}, \right )$

$C:(3,2)$

2. The endpoints of AC are A(1,4) and B(3,2)

If point D divide AC in the ratio 3:2

$(x_1,y_1)\rightarrow A(1,4)$

$(x_2,y_2)\rightarrow C(3,2)$

$m:n\rightarrow 3:2$

$D:(x,y)$

$D:\left ( \dfrac{3\cdot 3+2\cdot 1}{2+3},\dfrac{3\cdot -1+2\cdot 4}{2+3}, \right )$

$D:\left ( \dfrac{9+2}{5},\dfrac{6+8}{5}, \right )$

$D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

Hence, The coordinate C:(3,2) and coordinate D: $\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )$

3 0

4 years ago

Read 2 more answers

Please help me need help please help me

azamat

Answer:

See attachment for answers

Step-by-step explanation:

4 0

3 years ago

What's the answer 3(-2n +9) = -15

serg [7]

Answer:

3(-2n + 9) = -15

<=>

-6n + 27 = -15

<=>

-6n = -42

<=>

n = 7

Hope this helps!

:)

8 0

3 years ago

Simplify the following square root expression of 50

Virty [35]

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4 0

3 years ago

A dish washer manufacturer introduced a new type of dish washer and conducted a survey on the new product. The survey showed 40%

antoniya [11.8K]

Answer:

$P(A \cup B) =0.45$

Step-by-step explanation:

From the question we are told that

Consumers seen the soap $P_A=40\% =0.40$

Consumers used the soap $P_B=20\% =0.2$

Consumers seen/tried the soap $P_x=15\% =0.15$

Generally the probability that consumers have seen and tried the soap is

$P(A \cup B=P(A)+P(B)-P(A \cap B$

$P(A \cup B=0.4+0.2-0.15$

$P(A \cup B) =0.45$

7 0

3 years ago