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Darina [25.2K]
3 years ago
12

Which factorization is equivalent to 6x squared + 7x - 10?

Mathematics
1 answer:
love history [14]3 years ago
5 0
We want to factorize 6x² + 7x - 10

Note that
6x² = x * 6x  or 3x * 2x
10 = 2 * 5     or  1 * 10
We can obtain 7x as (6x)*(2) - (x)*(5) = 12x - 5x = 7x.

Therefore
6x² + 7x - 10 = (6x - 5)(x + 2)

Answer: (6x - 5)(x + 2)

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Y=3(x-1)(x+6) written in standard form?
AURORKA [14]

Answer:

y=3x2` +15x-18

Step-by-step explanation:

8 0
4 years ago
Which scatterplot has a correlation coefficient closest to r = 1?
qwelly [4]

Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope


Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.


The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images

6 0
4 years ago
Read 2 more answers
Estimate 0.03415 to the nearest hundredth. Express your answer as a single digit times a power of ten
Lisa [10]

Answer:

3 raise to power -100

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

7 0
3 years ago
What are the values of x and y?
tensa zangetsu [6.8K]
Answer: x = 8√7, y = 4√21

Explanation:

1) There are three triangles.

2) The small triangle of the right has a right angle,  and the sides are the height, x and 16.

3) The small triangle of the left, has a righ angle, and the sides are the heigth, y and 12.

4) The big triangle has a right angle, and the sides are the x, y and 28.

5) Set three equations using Pytagora's theorem for the three triangles..

a) y^2 + x^2 = 28^2 = 784

b) h^2 + 12^2 = y^2

c) h^2 + 16^2 = x^2

6)  Subtract b) from c)

16^2 - 12^2 = x^2 - y^2

=> x^2 - y^2 = 112

add x^2 - y^2 = 112 with the equation a)

x^2 - y^2 = 112
x^2 + y^2 = 784
----------------------
2x^2 = 112 + 784

2x^2 = 896

x^2 = 896 / 2 = 448

x = √448

x = 8√7

7) now you can use any a) to find y:

y^2 + x^2  = 784

=> y^2 = 784 - x^2

=> y^2 = 784 - 448

=> y^2 = 336

=> y = 4√21

Answer: x = 8√7, y = 4√21


3 0
4 years ago
The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds o
blsea [12.9K]

Answer:

Store T sells apples at the lowest rate

$1.16

Step-by-step explanation:

which of these is a true statemnt

Store R sells apples at the lowest rate

Store T sells apples at the lowest rate

Store s charges a lower rate than Store T

Store t charges the same rate as Store R

Given:

Store R= $1.20 per pound

Store S =$5.00 for 4 pounds

Store T=$3.48 for 3 pounds

Find the price of apple per pound

Store R=1.20 per pound of Apple

Store S=$5.00/4

=$1.25 per pound of Apple

Store T=$3.48/3 pounds

=$1.16 per pound of Apple

From the statements above,

Store T sells apples at the lowest rate

5 0
3 years ago
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