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3 years ago

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Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

B(-4; 1)

3 units right → x + 3
2 units down → y - 2

B'(-4 + 3; 1 - 2) → B'(-1; -1)

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Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$

So for one cup of carrot juice $\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used.

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2 years ago

(a+4)² - 3²<br> Factored out

uranmaximum [27]

Answer:

$a = - 7$

$a = - 1$

Step-by-step explanation:

$(a+4) {}^{2} - 3 {}^{2} \\ a {}^{2} + 8a + 16 - 9 \\ a {}^{2} + 8a + 7 \\ a {}^{2} + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \: \: \: \: or \: \: \: \: a + 1 = 0 \\ a = - 7 \: \: \: \: \: \: \: \: or \: \: \: a = - 1$

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2 years ago

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.

barxatty [35]

Answer: A, C, D and E

Step-by-step explanation:

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2 years ago

The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func

Hunter-Best [27]

Answer:

Step-by-step explanation:

<u>Functions and Relations</u>

A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).

By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option

$\boxed{A)\ (-5,7)}$

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3 years ago

People attending a football game either supported the home team or the visiting team. if 1369 of the people attending supported

Masja [62]

Given the number of the people attending the football game, the percentage supporters for the home team is 37%.

<h3>What is Percentage?</h3>

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Number of home team supporters nH = 1369

Number of visting team supporters nV = 2331

Percentage of supporters for home team PH = ?

For we determine the total number of people attending the football game;

nT = nH + nV

nT = 1369 + 2331

nT = 3700

Now, using the perecentage formula above, we find the Percentage of supporters for home team PH

Percentage = ( Part / Whole ) × 100%

PH = ( nH/ nT) × 100%

PH = ( 1369/ 3700) × 100%

PH = 0.37 × 100%

PH = 37%

Therefore, given the number of the people attending the football game, the percentage supporters for the home team is 37%.

Learn more about Percentages here: brainly.com/question/24159063

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2 years ago