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3 years ago

What is the solution of the equation (4x + 3)2 = 18?

Mathematics

1 answer:

saveliy_v [14]3 years ago

5 0

Hello!

First of all, let's undo the parentheses.

8x+6=18

Now we subtract 6 from both sides.

8x=12

Finally, we divide both sides by 8.

x=1.5

I hope this helps!

You might be interested in

√7.5×√3.5 step and answer

irina1246 [14]

Answer:

√105/2

Step-by-step explanation:

Given the surd expression √7.5×√3.5, this can also be expressed as;

√7.5×√3.5

= √75/10 × √35/10

= √(75×35)/10×`10

=√105×25/100

= 5√105/√100

=5√105/10

=√105/2

Hence the required expression a √105/2

4 0

3 years ago

EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o

german

Answer:

$y=9x+33$

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9$

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

$y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33$

So, there were 33 gallons of water in the tank to begin with.

3 0

3 years ago

A researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she ob

777dan777 [17]

Answer:

(2, 12)

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $3$ groups and on each group from $j=1,\dots,n_j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1=3-1=2$ where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-K=15-3=12$ .

And the total degrees of freedom would be $df=N-1=15 -1 =14$

And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator

(2, 12)

3 0

3 years ago

The graph of an equation is shown below:

Ganezh [65]

Answer:

(1, 3)

Step-by-step explanation:

The first number of each pair is the x-coordinate, the horizontal location of the point.

The end points of the graphed line segment are (1, 3) and (-3, -2). It looks like the answer choices are intended to see if you can tell what order the coordinates are expressed in.

The appropriate choice is (1, 3), the upper right end point.

6 0

4 years ago

SOMEONE HELP PLEASEE I WILL GIVE U BRAINLIEST IF U ANSWER CORRECT

Vesnalui [34]

Answer:

Im pretty sure its C

Step-by-step explanation:

desmos

3 0

2 years ago