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2 years ago

Which value satisfies the inequality 3x+10-2x<-4x+45

Mathematics

1 answer:

anygoal [31]2 years ago

6 0

First to answer

Answer:

x<7

Step By Step Answering:

Step 1: Simplify both sides of the inequality.

x+10<−4x+45

Step 2: Add 4x to both sides.

x+10+4x<−4x+45+4x

5x+10<45

Step 3: Subtract 10 from both sides.

5x+10−10<45−10

5x<35

Step 4: Divide both sides by 5.

5x/5<35/5

x<7

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Which comparisons are true? Choose all that apply. A. 7.34 > 7.304 B. 1.628 > 1.63 C. 4.05 < 4.055 D. 9.103 < 9.13 E

Nimfa-mama [501]

Answer:

The answers are A, C, & D.

Step-by-step explanation:

A: the 34 would have an imaginary 0 behind it, so then it would become 340, which is greater than 304.

B, C, D: same logic as A

6 0

3 years ago

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

Hence final answer is -0.47.

7 0

3 years ago

AAAAAAAAAAA 65 points please help

nata0808 [166]

Answer:

The distance between E and F is 5 units

Step-by-step explanation:

E and F are share the same y-coordinates. So for this part it is okay to not use the distance formula. 

So you will be having:

E (5,8) and F (5,3)

EF = 8-3=5

OR 

YOU CAN USE THE DISTANCE FORMULA AS INDICAYED IN THE PICTURE.

Hopefully the picture is clear and understandable and younger the explanation.

4 0

2 years ago

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

$P(t) = P(0)(1+r)^t$

Growth rato parameter of 48% per hour

This means that $r = 0.48$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1+0.48)^t$

$P(t) = P(0)(1.48)^t$

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

$P(t) = P(0)(1.48)^t$

$2P(0) = P(0)(1.48)^t$

$(1.48)^t = 2$

$\log{(1.48)^t} = \log{2}$

$t\log{1.48} = \log{2}$

$t = \frac{\log{2}}{\log{1.48}}$

$t = 1.77$

It takes 1.77 hours for the population to double.

3 0

3 years ago

1. (15 + 70 – 5^2) ) divide (36 – 6) 2. (11 + 22 – 3) divide 3 - 32

Julli [10]

1) 15 + 70 - 25/36-6

85 - 25/30

= 60/30

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

8 0

3 years ago

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